-
question_answer1)
The coefficient of restitution e for a perfectly elastic collision is [CBSE PMT 1988]
A)
1 done
clear
B)
0 done
clear
C)
\[\infty \] done
clear
D)
? 1 done
clear
View Solution play_arrow
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question_answer2)
The principle of conservation of linear momentum can be strictly applied during a collision between two particles provided the time of impact is
A)
Extremely small done
clear
B)
Moderately small done
clear
C)
Extremely large done
clear
D)
Depends on a particular case done
clear
View Solution play_arrow
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question_answer3)
A shell initially at rest explodes into two pieces of equal mass, then the two pieces will [CPMT 1982; EAMCET 1988; Orissa PMT 2004]
A)
Be at rest done
clear
B)
Move with different velocities in different directions done
clear
C)
Move with the same velocity in opposite directions done
clear
D)
Move with the same velocity in same direction done
clear
View Solution play_arrow
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question_answer4)
A sphere of mass m moving with a constant velocity u hits another stationary sphere of the same mass. If e is the coefficient of restitution, then the ratio of the velocity of two spheres after collision will be [RPMT 1996; BHU 1997]
A)
\[\frac{1-e}{1+e}\] done
clear
B)
\[\frac{1+e}{1-e}\] done
clear
C)
\[\frac{e+1}{e-1}\] done
clear
D)
\[\frac{e-1}{e+1}{{t}^{2}}\] done
clear
View Solution play_arrow
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question_answer5)
Two solid rubber balls A and B having masses 200 and 400 gm respectively are moving in opposite directions with velocity of A equal to 0.3 m/s. After collision the two balls come to rest, then the velocity of B is [CPMT 1978, 86, 88]
A)
0.15 m/sec done
clear
B)
1.5 m/sec done
clear
C)
? 0.15 m/sec done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer6)
Two perfectly elastic particles P and Q of equal mass travelling along the line joining them with velocities 15 m/sec and 10 m/sec. After collision, their velocities respectively (in m/sec) will be [CPMT 1988; MP PMT 1994]
A)
0, 25 done
clear
B)
5, 20 done
clear
C)
10, 15 done
clear
D)
20, 5 done
clear
View Solution play_arrow
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question_answer7)
A cannon ball is fired with a velocity 200 m/sec at an angle of 60° with the horizontal. At the highest point of its flight it explodes into 3 equal fragments, one going vertically upwards with a velocity 100 m/sec, the second one falling vertically downwards with a velocity 100 m/sec. The third fragment will be moving with a velocity [NCERT 1983; AFMC 1997]
A)
100 m/s in the horizontal direction done
clear
B)
300 m/s in the horizontal direction done
clear
C)
300 m/s in a direction making an angle of \[60{}^\circ \]with the horizontal done
clear
D)
200 m/s in a direction making an angle of \[60{}^\circ \] with the horizontal done
clear
View Solution play_arrow
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question_answer8)
A lead ball strikes a wall and falls down, a tennis ball having the same mass and velocity strikes the wall and bounces back. Check the correct statement
A)
The momentum of the lead ball is greater than that of the tennis ball done
clear
B)
The lead ball suffers a greater change in momentum compared with the tennis ball done
clear
C)
The tennis ball suffers a greater change in momentum as compared with the lead ball done
clear
D)
Both suffer an equal change in momentum done
clear
View Solution play_arrow
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question_answer9)
When two bodies collide elastically, then [CPMT 1974; MP PMT 2001; RPET 2000; Kerala PET 2005]
A)
Kinetic energy of the system alone is conserved done
clear
B)
Only momentum is conserved done
clear
C)
Both energy and momentum are conserved done
clear
D)
Neither energy nor momentum is conserved done
clear
View Solution play_arrow
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question_answer10)
Two balls at same temperature collide. What is conserved [NCERT 1974; CPMT 1983; DCE 2004]
A)
Temperature done
clear
B)
Velocity done
clear
C)
Kinetic energy done
clear
D)
Momentum done
clear
View Solution play_arrow
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question_answer11)
A body of mass 5 kg explodes at rest into three fragments with masses in the ratio 1 : 1 : 3. The fragments with equal masses fly in mutually perpendicular directions with speeds of 21 m/s. The velocity of the heaviest fragment will be [CBSE PMT 1991]
A)
11.5 m/s done
clear
B)
14.0 m/s done
clear
C)
7.0 m/s done
clear
D)
9.89 m/s done
clear
View Solution play_arrow
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question_answer12)
A heavy steel ball of mass greater than 1 kg moving with a speed of 2\[m\,{{\sec }^{-1}}\]collides head on with a stationary ping-pong ball of mass less than 0.1 gm. The collision is elastic. After the collision the ping-pong ball moves approximately with speed [EAMCET 1982]
A)
\[2\,m\,{{\sec }^{-1}}\] done
clear
B)
\[4\,m\,{{\sec }^{-1}}\] done
clear
C)
\[2\times {{10}^{4}}\,m\,{{\sec }^{-1}}\] done
clear
D)
\[2\times {{10}^{3}}\,m\,{{\sec }^{-1}}\] done
clear
View Solution play_arrow
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question_answer13)
A body of mass ?M? collides against a wall with a velocity v and retraces its path with the same speed. The change in momentum is (take initial direction of velocity as positive) [EAMCET 1982]
A)
Zero done
clear
B)
2Mv done
clear
C)
Mv done
clear
D)
? 2 Mv done
clear
View Solution play_arrow
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question_answer14)
A gun fires a bullet of mass 50 gm with a velocity of \[30\,m\,{{\sec }^{-1}}\]. Because of this the gun is pushed back with a velocity of \[1\,m\,{{\sec }^{-1}}\]. The mass of the gun is [EAMCET 1989; AIIMS 2001]
A)
15 kg done
clear
B)
30 kg done
clear
C)
1.5 kg done
clear
D)
20 kg done
clear
View Solution play_arrow
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question_answer15)
In an elastic collision of two particles the following is conserved [MP PET 1994; DPMT 2001]
A)
Momentum of each particle done
clear
B)
Speed of each particle done
clear
C)
Kinetic energy of each particle done
clear
D)
Total kinetic energy of both the particles done
clear
View Solution play_arrow
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question_answer16)
A \[^{238}U\] nucleus decays by emitting an alpha particle of speed \[v\,m{{s}^{-1}}\]. The recoil speed of the residual nucleus is (in \[m{{s}^{-1}}\]) [CBSE PMT 1995; AIEEE 2003]
A)
\[-4v/234\] done
clear
B)
\[v/4\] done
clear
C)
\[-4v/238\] done
clear
D)
\[4v/238\] done
clear
View Solution play_arrow
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question_answer17)
A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision their final velocities are V and v respectively. The value of v is [MP PET 1995]
A)
\[\frac{2uM}{m}\] done
clear
B)
\[\frac{2um}{M}\] done
clear
C)
\[\frac{2u}{1+\frac{m}{M}}\] done
clear
D)
\[\frac{2u}{1+\frac{M}{m}}\] done
clear
View Solution play_arrow
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question_answer18)
A body of mass m having an initial velocity v, makes head on collision with a stationary body of mass M. After the collision, the body of mass m comes to rest and only the body having mass M moves. This will happen only when [MP PMT 1995]
A)
\[m>>M\] done
clear
B)
\[m<<M\] done
clear
C)
\[m=M\] done
clear
D)
\[m=\frac{1}{2}M\] done
clear
View Solution play_arrow
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question_answer19)
A particle of mass m moving with a velocity \[\vec{V}\] makes a head on elastic collision with another particle of same mass initially at rest. The velocity of the first particle after the collision will be [MP PMT 1997; MP PET 2001; UPSEAT 2001]
A)
\[\vec{V}\] done
clear
B)
\[-\vec{V}\] done
clear
C)
\[-2\vec{V}\] done
clear
D)
Zero done
clear
View Solution play_arrow
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question_answer20)
A particle of mass m moving with horizontal speed 6 m/sec as shown in figure. If \[m<<M\] then for one dimensional elastic collision, the speed of lighter particle after collision will be [MP PMT 2003]
A)
2m/sec in original direction done
clear
B)
2 m/sec opposite to the original direction done
clear
C)
4 m/sec opposite to the original direction done
clear
D)
4 m/sec in original direction done
clear
View Solution play_arrow
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question_answer21)
A shell of mass m moving with velocity v suddenly breaks into 2 pieces. The part having mass m/4 remains stationary. The velocity of the other shell will be [CPMT 1999]
A)
v done
clear
B)
2v done
clear
C)
\[\frac{3}{4}v\] done
clear
D)
\[\frac{4}{3}v\] done
clear
View Solution play_arrow
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question_answer22)
Two equal masses \[{{m}_{1}}\] and \[{{m}_{2}}\] moving along the same straight line with velocities + 3 m/s and ? 5 m/s respectively collide elastically. Their velocities after the collision will be respectively [CBSE PMT 1994, 98; AIIMS 2000]
A)
+ 4 m/s for both done
clear
B)
? 3 m/s and +5 m/s done
clear
C)
? 4 m/s and + 4 m/s done
clear
D)
? 5 m/s and + 3 m/s done
clear
View Solution play_arrow
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question_answer23)
A rubber ball is dropped from a height of 5 m on a planet where the acceleration due to gravity is not known. On bouncing, it rises to 1.8 m. The ball loses its velocity on bouncing by a factor of [CBSE PMT 1998]
A)
16/25 done
clear
B)
2/5 done
clear
C)
3/5 done
clear
D)
9/25 done
clear
View Solution play_arrow
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question_answer24)
A metal ball falls from a height of 32 metre on a steel plate. If the coefficient of restitution is 0.5, to what height will the ball rise after second bounce [EAMCET 1994]
A)
2 m done
clear
B)
4 m done
clear
C)
8 m done
clear
D)
16 m done
clear
View Solution play_arrow
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question_answer25)
At high altitude, a body explodes at rest into two equal fragments with one fragment receiving horizontal velocity of 10 m/s. Time taken by the two radius vectors connecting point of explosion to fragments to make 90° is [EAMCET (Engg.) 1995; DPMT 2000]
A)
10 s done
clear
B)
4 s done
clear
C)
2 s done
clear
D)
1 s done
clear
View Solution play_arrow
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question_answer26)
A ball of mass 10 kg is moving with a velocity of 10 m/s. It strikes another ball of mass 5 kg which is moving in the same direction with a velocity of 4 m/s. If the collision is elastic, their velocities after the collision will be, respectively [CMEET Bihar 1995]
A)
6 m/s, 12 m/s done
clear
B)
12 m/s, 6 m/s done
clear
C)
12 m/s, 10 m/s done
clear
D)
12 m/s, 25 m/s done
clear
View Solution play_arrow
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question_answer27)
A body of mass 2 kg collides with a wall with speed 100 m/s and rebounds with same speed. If the time of contact was 1/50 second, the force exerted on the wall is [CPMT 1993]
A)
8 N done
clear
B)
\[2\times {{10}^{4}}\,N\] done
clear
C)
4 N done
clear
D)
\[{{10}^{4}}\,N\] done
clear
View Solution play_arrow
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question_answer28)
A body falls on a surface of coefficient of restitution 0.6 from a height of 1 m. Then the body rebounds to a height of [CPMT 1993; Pb. PET 2001]
A)
0.6 m done
clear
B)
0.4 m done
clear
C)
1 m done
clear
D)
\[{{h}_{n}}=h{{e}^{2n}}\]\[=1\times {{e}^{2\times 1}}\]= \[1\times {{(0.6)}^{2}}=0.36m\] done
clear
View Solution play_arrow
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question_answer29)
A ball is dropped from a height h. If the coefficient of restitution be e, then to what height will it rise after jumping twice from the ground [RPMT 1996; Pb. PET 2001]
A)
eh/2 done
clear
B)
2eh done
clear
C)
eh done
clear
D)
\[{{e}^{4}}h\] done
clear
View Solution play_arrow
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question_answer30)
A ball of weight 0.1 kg coming with speed 30 m/s strikes with a bat and returns in opposite direction with speed 40 m/s, then the impulse is (Taking final velocity as positive) [AFMC 1997]
A)
\[-0.1\times (40)-0.1\times (30)\] done
clear
B)
\[0.1\times (40)-0.1\times (-30)\] done
clear
C)
\[0.1\times (40)+0.1\times (-30)\] done
clear
D)
\[0.1\times (40)-0.1\times (20)\] done
clear
View Solution play_arrow
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question_answer31)
A billiard ball moving with a speed of 5 m/s collides with an identical ball originally at rest. If the first ball stops after collision, then the second ball will move forward with a speed of [SCRA 1998]
A)
\[10\,m{{s}^{-1}}\] done
clear
B)
\[5\,m{{s}^{-1}}\] done
clear
C)
\[2.5\,m{{s}^{-1}}\] done
clear
D)
\[1.0\,m{{s}^{-1}}\] done
clear
View Solution play_arrow
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question_answer32)
If two balls each of mass 0.06 kg moving in opposite directions with speed 4 m/s collide and rebound with the same speed, then the impulse imparted to each ball due to other is [AFMC 1998,2001]
A)
0.48 kg-m/s done
clear
B)
0.24 kg-m/s done
clear
C)
0.81 kg-m/s done
clear
D)
Zero done
clear
View Solution play_arrow
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question_answer33)
A ball of mass m falls vertically to the ground from a height h1 and rebound to a height \[{{h}_{2}}\]. The change in momentum of the ball on striking the ground is [AMU (Engg.) 1999]
A)
\[mg({{h}_{1}}-{{h}_{2}})\] done
clear
B)
\[m(\sqrt{2g{{h}_{1}}}+\sqrt{2g{{h}_{2}}})\] done
clear
C)
\[m\sqrt{2g({{h}_{1}}+{{h}_{2}})}\] done
clear
D)
\[m\sqrt{2g}({{h}_{1}}+{{h}_{2}})\] done
clear
View Solution play_arrow
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question_answer34)
A body of mass 50 kg is projected vertically upwards with velocity of 100 m/sec. 5 seconds after this body breaks into 20 kg and 30 kg. If 20 kg piece travels upwards with 150 m/sec, then the velocity of other block will be [RPMT 1999]
A)
15 m/sec downwards done
clear
B)
15 m/sec upwards done
clear
C)
51 m/sec downwards done
clear
D)
51 m/sec upwards done
clear
View Solution play_arrow
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question_answer35)
A steel ball of radius 2 cm is at rest on a frictionless surface. Another ball of radius 4cm moving at a velocity of 81 cm/sec collides elastically with first ball. After collision the smaller ball moves with speed of [RPMT 1999]
A)
81 cm/sec done
clear
B)
63 cm/sec done
clear
C)
144 cm/sec done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer36)
A space craft of mass M is moving with velocity V and suddenly explodes into two pieces. A part of it of mass m becomes at rest, then the velocity of other part will be [RPMT 1999]
A)
\[\frac{MV}{M-m}\] done
clear
B)
\[\frac{MV}{M+m}\] done
clear
C)
\[\frac{mV}{M-m}\] done
clear
D)
\[\frac{(M+m)V}{m}\] done
clear
View Solution play_arrow
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question_answer37)
A ball hits a vertical wall horizontally at 10m/s bounces back at 10 m/s [JIPMER 1999]
A)
There is no acceleration because \[10\,\frac{m}{s}-\,10\frac{m}{s}=0\] done
clear
B)
There may be an acceleration because its initial direction is horizontal done
clear
C)
There is an acceleration because there is a momentum change done
clear
D)
Even though there is no change in momentum there is a change in direction. Hence it has an acceleration done
clear
View Solution play_arrow
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question_answer38)
A bullet of mass 50 gram is fired from a 5 kg gun with a velocity of 1km/s. the speed of recoil of the gun is [JIPMER 1999]
A)
\[5\,m/s\] done
clear
B)
\[1\,m/s\] done
clear
C)
\[0.5\,m/s\] done
clear
D)
\[10\,m/s\] done
clear
View Solution play_arrow
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question_answer39)
A body falling from a height of 10m rebounds from hard floor. If it loses 20% energy in the impact, then coefficient of restitution is [AIIMS 2000]
A)
0.89 done
clear
B)
0.56 done
clear
C)
0.23 done
clear
D)
0.18 done
clear
View Solution play_arrow
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question_answer40)
A body of mass \[{{m}_{1}}\] moving with a velocity 3 ms?1 collides with another body at rest of mass \[{{m}_{2}}.\]After collision the velocities of the two bodies are 2 ms?1 and 5ms?1 respectively along the direction of motion of \[{{m}_{1}}\] The ratio \[{{m}_{1}}/{{m}_{2}}\] is [EAMCET (Engg.) 2000]
A)
\[\frac{5}{12}\] done
clear
B)
\[5\] done
clear
C)
\[\frac{1}{5}\] done
clear
D)
\[\frac{12}{5}\] done
clear
View Solution play_arrow
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question_answer41)
100 g of a iron ball having velocity 10 m/s collides with a wall at an angle \[{{30}^{o}}\] and rebounds with the same angle. If the period of contact between the ball and wall is 0.1 second, then the force experienced by the ball is [DPMT 2000]
A)
100N done
clear
B)
10 N done
clear
C)
0.1 N done
clear
D)
1.0 N done
clear
View Solution play_arrow
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question_answer42)
Two bodies having same mass 40 kg are moving in opposite directions, one with a velocity of 10\[m/s\] and the other with \[7m/s.\] If they collide and move as one body, the velocity of the combination is [Pb. PMT 2000]
A)
\[10\,m/s\] done
clear
B)
\[7m/s\] done
clear
C)
\[3\,m/s\] done
clear
D)
\[1.5\,m/s\] done
clear
View Solution play_arrow
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question_answer43)
A body at rest breaks up into 3 parts. If 2 parts having equal masses fly off perpendicularly each after with a velocity of 12m/s, then the velocity of the third part which has 3 times mass of each part is [UPSEAT 2001]
A)
\[4\sqrt{2}\,m/s\] at an angle of \[{{45}^{o}}\] from each body done
clear
B)
\[24\sqrt{2}\,m/s\] at an angle of \[{{135}^{o}}\]from each body done
clear
C)
\[6\sqrt{2}\,m/s\] at \[{{135}^{o}}\]from each body done
clear
D)
\[4\sqrt{2}\,m/s\] at \[{{135}^{o}}\] from each body done
clear
View Solution play_arrow
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question_answer44)
A particle falls from a height h upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before rebounding has stopped is [EAMCET 2001]
A)
\[h\left( \frac{1+{{e}^{2}}}{1-{{e}^{2}}} \right)\] done
clear
B)
\[h\left( \frac{1-{{e}^{2}}}{1+{{e}^{2}}} \right)\] done
clear
C)
\[\frac{h}{2}\left( \frac{1-{{e}^{2}}}{1+{{e}^{2}}} \right)\] done
clear
D)
\[\frac{h}{2}\left( \frac{1+{{e}^{2}}}{1-{{e}^{2}}} \right)\] done
clear
View Solution play_arrow
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question_answer45)
The bob A of a simple pendulum is released when the string makes an angle of \[{{45}^{o}}\]with the vertical. It hits another bob B of the same material and same mass kept at rest on the table. If the collision is elastic [Kerala (Engg.) 2001]
A)
Both A and B rise to the same height done
clear
B)
Both A and B come to rest at B done
clear
C)
Both A and B move with the same velocity of A done
clear
D)
A comes to rest and B moves with the velocity of A done
clear
View Solution play_arrow
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question_answer46)
A big ball of mass M, moving with velocity u strikes a small ball of mass m, which is at rest. Finally small ball obtains velocity u and big ball v. Then what is the value of v [RPET 2001]
A)
\[\frac{M-m}{M+m}u\] done
clear
B)
\[\frac{m}{M+m}u\] done
clear
C)
\[\frac{2m}{M+m}u\] done
clear
D)
\[\frac{M}{M+m}u\] done
clear
View Solution play_arrow
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question_answer47)
A body of mass 5 kg moving with a velocity 10m/s collides with another body of the mass 20 kg at, rest and comes to rest. The velocity of the second body due to collision is [Pb. PMT 1999; KCET 2001]
A)
2.5 m/s done
clear
B)
5 m/s done
clear
C)
7.5 m/s done
clear
D)
10 m/s done
clear
View Solution play_arrow
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question_answer48)
A ball of mass m moving with velocity V, makes a head on elastic collision with a ball of the same mass moving with velocity 2V towards it. Taking direction of V as positive velocities of the two balls after collision are [MP PMT 2002]
A)
\[-V\] and \[2V\] done
clear
B)
\[2V\]and \[-V\] done
clear
C)
V and\[-2V\] done
clear
D)
\[-2V\] and \[V\] done
clear
View Solution play_arrow
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question_answer49)
A body of mass \[{{M}_{1}}\] collides elastically with another mass \[{{M}_{2}}\] at rest. There is maximum transfer of energy when [Orissa JEE 2002; DCE 2001, 02]
A)
\[{{M}_{1}}>{{M}_{2}}\] done
clear
B)
\[{{M}_{1}}<{{M}_{2}}\] done
clear
C)
\[{{M}_{1}}={{M}_{2}}\] done
clear
D)
Same for all values of \[{{M}_{1}}\] and \[{{M}_{2}}\] done
clear
View Solution play_arrow
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question_answer50)
A body of mass 2kg makes an elastic collision with another body at rest and continues to move in the original direction with one fourth of its original speed. The mass of the second body which collides with the first body is [Kerala PET 2002]
A)
2 kg done
clear
B)
1.2 kg done
clear
C)
3 kg done
clear
D)
1.5 kg done
clear
View Solution play_arrow
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question_answer51)
In the elastic collision of objects [RPET 2003]
A)
Only momentum remains constant done
clear
B)
Only K.E. remains constant done
clear
C)
Both remains constant done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer52)
Two particles having position vectors \[\overrightarrow{{{r}_{1}}}=(3\hat{i}+5\hat{j})\] metres and \[\overrightarrow{{{r}_{2}}}=(-5\hat{i}-3\hat{j})\] metres are moving with velocities \[{{\overrightarrow{v}}_{1}}=(4\hat{i}+3\hat{j})\,m/s\] and \[{{\overrightarrow{v}}_{2}}=(\alpha \,\hat{i}+7\hat{j})\] \[m/s.\] If they collide after 2 seconds, the value of \['\alpha '\] is [EAMCET 2003]
A)
2 done
clear
B)
4 done
clear
C)
6 done
clear
D)
8 done
clear
View Solution play_arrow
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question_answer53)
A neutron makes a head-on elastic collision with a stationary deuteron. The fractional energy loss of the neutron in the collision is [AIIMS 2003]
A)
16/81 done
clear
B)
8/9 done
clear
C)
8/27 done
clear
D)
2/3 done
clear
View Solution play_arrow
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question_answer54)
A body of mass m is at rest. Another body of same mass moving with velocity V makes head on elastic collision with the first body. After collision the first body starts to move with velocity [Orissa PMT 2004]
A)
V done
clear
B)
2V done
clear
C)
Remain at rest done
clear
D)
No predictable done
clear
View Solution play_arrow
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question_answer55)
A body of mass M moves with velocity v and collides elastically with a another body of mass m (M>>m) at rest then the velocity of body of mass m is [BCECE 2004]
A)
v done
clear
B)
2v done
clear
C)
v/2 done
clear
D)
Zero done
clear
View Solution play_arrow
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question_answer56)
Four smooth steel balls of equal mass at rest are free to move along a straight line without friction. The first ball is given a velocity of 0.4 m/s. It collides head on with the second elastically, the second one similarly with the third and so on. The velocity of the last ball is [UPSEAT 2004]
A)
\[0.4m/s\] done
clear
B)
\[0.2m/s\] done
clear
C)
\[0.1m/s\] done
clear
D)
\[0.05m/s\] done
clear
View Solution play_arrow
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question_answer57)
A space craft of mass 'M' and moving with velocity 'v' suddenly breaks in two pieces of same mass m. After the explosion one of the mass 'm' becomes stationary. What is the velocity of the other part of craft [DCE 2003]
A)
\[\frac{Mv}{M-m}\] done
clear
B)
\[v\] done
clear
C)
\[\frac{Mv}{m}\] done
clear
D)
\[\frac{M-m}{m}v\] done
clear
View Solution play_arrow
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question_answer58)
Two masses \[{{m}_{A}}\]and \[{{m}_{B}}\]moving with velocities \[{{v}_{A}}\]and \[{{v}_{B}}\]in opposite directions collide elastically. After that the masses \[{{m}_{A}}\]and \[{{m}_{B}}\]move with velocity \[{{v}_{B}}\]and \[{{v}_{A}}\]respectively. The ratio \[({{m}_{A}}/{{m}_{B}}\]) is [RPMT 2003, AFMC 2002]
A)
1 done
clear
B)
\[\frac{{{v}_{A}}-{{v}_{B}}}{{{v}_{A}}+{{v}_{B}}}\] done
clear
C)
\[({{m}_{A}}+{{m}_{B}})/{{m}_{A}}\] done
clear
D)
\[{{v}_{A}}/{{v}_{B}}\] done
clear
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question_answer59)
A ball is allowed to fall from a height of 10 m. If there is 40% loss of energy due to impact, then after one impact ball will go up to [CPMT 1985]
A)
10 m done
clear
B)
8 m done
clear
C)
4 m done
clear
D)
6 m done
clear
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question_answer60)
Which of the following statements is true [NCERT 1984]
A)
In elastic collisions, the momentum is conserved but not in inelastic collisions done
clear
B)
Both kinetic energy and momentum are conserved in elastic as well as inelastic collisions done
clear
C)
Total kinetic energy is not conserved but momentum is conserved in inelastic collisions done
clear
D)
Total kinetic energy is conserved in elastic collisions but momentum is not conserved in elastic collisions done
clear
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question_answer61)
A tennis ball dropped from a height of 2 m rebounds only 1.5 m after hitting the ground. What fraction of its energy is lost in the impact
A)
\[\frac{1}{4}\] done
clear
B)
\[\frac{1}{2}\] done
clear
C)
\[\frac{1}{3}\] done
clear
D)
\[\frac{1}{8}\] done
clear
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question_answer62)
A body of mass m moving with velocity v makes a head-on collision with another body of mass 2 m which is initially at rest. The loss of kinetic energy of the colliding body (mass m) is [MP PMT 1996]
A)
\[\frac{1}{2}\] of its initial kinetic energy done
clear
B)
\[\frac{1}{9}\] of its initial kinetic energy done
clear
C)
\[\frac{8}{9}\] of its initial kinetic energy done
clear
D)
\[\frac{1}{4}\]of its initial kinetic energy done
clear
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question_answer63)
The quantities remaining constant in a collision are [MP PET 1997]
A)
Momentum, kinetic energy and temperature done
clear
B)
Momentum and kinetic energy but not temperature done
clear
C)
Momentum and temperature but not kinetic energy done
clear
D)
Momentum but neither kinetic energy nor temperature done
clear
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question_answer64)
An inelastic ball is dropped from a height of 100 m. Due to earth, 20% of its energy is lost. To what height the ball will rise [RPMT 1996]
A)
80 m done
clear
B)
40 m done
clear
C)
60 m done
clear
D)
20 m done
clear
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question_answer65)
A ball is projected vertically down with an initial velocity from a height of 20 m onto a horizontal floor. During the impact it loses 50% of its energy and rebounds to the same height. The initial velocity of its projection is [EAMCET (Engg.) 2000]
A)
\[20\,m{{s}^{-1}}\] done
clear
B)
\[15\,m{{s}^{-1}}\] done
clear
C)
\[10\,m{{s}^{-1}}\] done
clear
D)
\[5\,m{{s}^{-1}}\] done
clear
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question_answer66)
A tennis ball is released from height h above ground level. If the ball makes inelastic collision with the ground, to what height will it rise after third collision [RPET 2002]
A)
\[h{{e}^{6}}\] done
clear
B)
\[{{e}^{2}}h\] done
clear
C)
\[{{e}^{3}}h\] done
clear
D)
None of these done
clear
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question_answer67)
A mass 'm' moves with a velocity 'v' and collides inelastically with another identical mass. After collision the Ist mass moves with velocity \[\frac{v}{\sqrt{3}}\] in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision [AIEEE 2005]
A)
\[\frac{2}{\sqrt{3}}v\] done
clear
B)
\[\frac{v}{\sqrt{3}}\] done
clear
C)
v done
clear
D)
\[\sqrt{3}\,v\] done
clear
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question_answer68)
A sphere collides with another sphere of identical mass. After collision, the two spheres move. The collision is inelastic. Then the angle between the directions of the two spheres is [KCET 1994]
A)
\[90{}^\circ \] done
clear
B)
\[0{}^\circ \] done
clear
C)
\[45{}^\circ \] done
clear
D)
Different from\[90{}^\circ \] done
clear
View Solution play_arrow