A)
\[\frac{2}{3}m{{s}^{-2}}\]
done
clear
B)
\[-\frac{2}{3}m{{s}^{-2}}\]
done
clear
C)
\[\frac{20}{3}m{{s}^{-2}}\]
done
clear
D)
\[-\frac{20}{3}m{{s}^{-2}}\]
done
clear
View Answer play_arrow
A)
\[{{t}_{1}}={{t}_{2}}\]
done
clear
B)
\[{{t}_{1}}<{{t}_{2}}\]
done
clear
C)
\[{{t}_{1}}>{{t}_{2}}\]
done
clear
D)
\[{{t}_{1}}\ge \,\,{{t}_{2}}\]
done
clear
View Answer play_arrow
A)
\[({{v}_{1}}{{v}_{2}}):({{v}_{2}}{{v}_{3}})=({{t}_{1}}{{t}_{2}}):\text{(}{{t}_{2}}+{{t}_{3}})\]
done
clear
B)
\[({{v}_{1}}{{v}_{2}}):({{v}_{2}}{{v}_{3}})=({{t}_{1}}+{{t}_{2}}):\text{(}{{t}_{2}}+{{t}_{3}})\]
done
clear
C)
\[({{v}_{1}}{{v}_{2}}):({{v}_{2}}{{v}_{2}})=({{t}_{1}}-{{t}_{2}}):\text{(}{{t}_{2}}-{{t}_{3}})\]
done
clear
D)
\[({{v}_{1}}{{v}_{2}}):({{v}_{2}}+{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):\text{(}{{t}_{2}}+{{t}_{3}})\]
done
clear
View Answer play_arrow
A)
precisely in the hand of his brother
done
clear
B)
slightly away from the hand of his brother in the direction of motion of the train
done
clear
C)
slightly away from the hand of his brother in the direction opposite to the direction of motion of the train
done
clear
D)
None of the above
done
clear
View Answer play_arrow
A)
the force is zero
done
clear
B)
there is a force towards motion
done
clear
C)
there is a force which opposes motion
done
clear
D)
there is only gravitational force
done
clear
View Answer play_arrow
A)
\[g/n\]
done
clear
B)
\[g/{{n}^{2}}\]
done
clear
C)
\[g/2{{n}^{2}}\]
done
clear
D)
\[g/4{{n}^{2}}\]
done
clear
View Answer play_arrow
A)
increases
done
clear
B)
decreases
done
clear
C)
increases and decreases
done
clear
D)
decreases and increases
done
clear
View Answer play_arrow
A)
10 s
done
clear
B)
0.5 s
done
clear
C)
1 s
done
clear
D)
7 s
done
clear
View Answer play_arrow
A)
6 s
done
clear
B)
8 s
done
clear
C)
10 s
done
clear
D)
The boy cannot catch the bus
done
clear
View Answer play_arrow
A)
\[70\text{ }km{{h}^{1}}\]
done
clear
B)
\[70.7\text{ }km{{h}^{1}}\]
done
clear
C)
\[65\text{ }km{{h}^{1}}\]
done
clear
D)
\[75\text{ }km{{h}^{1}}\]
done
clear
View Answer play_arrow
A)
\[\frac{1}{{{x}^{3}}}\]
done
clear
B)
\[\frac{1}{x}\,-\frac{1}{{{x}^{2}}}\]
done
clear
C)
\[-\frac{t}{{{x}^{2}}}\]
done
clear
D)
\[\frac{1}{x}\,-\,\frac{{{t}^{2}}}{{{x}^{3}}}\]
done
clear
View Answer play_arrow
A)
\[a=5\,m{{s}^{-2}},\,\,\upsilon =75\,m{{s}^{-1}}\]
done
clear
B)
\[a=7.5\,m{{s}^{-2}},\,\upsilon =100\,m{{s}^{-1}}\]
done
clear
C)
\[a=20\,m{{s}^{-2}},\,\upsilon =150\,m{{s}^{-1}}\]
done
clear
D)
\[a=150\,m{{s}^{-2}},\,\upsilon =10\,m{{s}^{-1}}\]
done
clear
View Answer play_arrow
A)
\[\frac{1}{2}\,\sqrt{{{v}_{1}}{{v}_{2}}}\]
done
clear
B)
\[\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
done
clear
C)
\[\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]
done
clear
D)
\[\frac{5{{v}_{1}}{{v}_{2}}}{3{{v}_{1}}+2{{v}_{2}}}\]
done
clear
View Answer play_arrow
A)
\[t={{t}_{1}}-{{t}_{2}}\]
done
clear
B)
\[t=\frac{{{t}_{1}}+{{t}_{2}}}{2}\]
done
clear
C)
\[t=\sqrt{{{t}_{1}}{{t}_{2}}}\]
done
clear
D)
\[t_{1}^{2}=t_{2}^{2}\]
done
clear
View Answer play_arrow
A)
\[\frac{2\upsilon (n+1)}{n}\]
done
clear
B)
\[\frac{\upsilon (n+1)}{n}\]
done
clear
C)
\[\frac{\upsilon (n-1)}{n}\]
done
clear
D)
\[\frac{2\upsilon (n-1)}{n}\]
done
clear
View Answer play_arrow
A)
\[\frac{4a{{t}^{3}}}{2}\]
done
clear
B)
\[\left( \frac{\sqrt{\alpha }}{6} \right)t\]
done
clear
C)
\[\left( \frac{{{\alpha }^{2}}}{36} \right){{t}^{4}}\]
done
clear
D)
\[\left( \frac{{{\alpha }^{2}}}{144} \right){{t}^{4}}\]
done
clear
View Answer play_arrow
Direction: A particle initially (i.e., at time \[t=0\]) moving with a velocity u subjected to a retarding force, as a result of which it decelerates at a rate \[a=-k\,\sqrt{v}\] where v is the instantaneous velocity and k is a positive constant.
The particle comes to rest in a time
A)
\[\frac{2\sqrt{u}}{k}\]
done
clear
B)
\[\frac{\sqrt{u}}{k}\]
done
clear
C)
\[2k\sqrt{u}\]
done
clear
D)
\[k\sqrt{u}\]
done
clear
View Answer play_arrow
Direction: A particle initially (i.e., at time \[t=0\]) moving with a velocity u subjected to a retarding force, as a result of which it decelerates at a rate \[a=-k\,\sqrt{v}\] where v is the instantaneous velocity and k is a positive constant.
The distance covered by the particle before coming to rest is
A)
\[\frac{{{u}^{3/2}}}{k}\]
done
clear
B)
\[\frac{2{{u}^{3/2}}}{k}\]
done
clear
C)
\[\frac{3{{u}^{3/2}}}{2k}\]
done
clear
D)
\[\frac{2{{u}^{3/2}}}{3k}\]
done
clear
View Answer play_arrow
A)
\[\frac{\pi }{2\sqrt{2}}\]
done
clear
B)
\[\frac{2\sqrt{2}}{\pi }\]
done
clear
C)
\[\frac{\pi }{\sqrt{2}}\]
done
clear
D)
\[\frac{\sqrt{2}}{\pi }\]
done
clear
View Answer play_arrow
A)
Curve 1 shows acceleration against time
done
clear
B)
Curve 2 shows velocity against time
done
clear
C)
Curve 2 shows velocity against acceleration
done
clear
D)
none of these
done
clear
View Answer play_arrow
A)
\[\sqrt{kr}\]
done
clear
B)
\[k{{r}^{-3/2}}\]
done
clear
C)
\[\frac{k}{2}{{r}^{0}}\]
done
clear
D)
cannot be determined from the given information
done
clear
View Answer play_arrow
A)
120 m
done
clear
B)
75 m
done
clear
C)
200 m
done
clear
D)
45 m
done
clear
View Answer play_arrow
A)
10 sec
done
clear
B)
30 sec
done
clear
C)
20 sec
done
clear
D)
40 sec
done
clear
View Answer play_arrow
A)
5 m
done
clear
B)
1 m
done
clear
C)
2 m
done
clear
D)
4 m
done
clear
View Answer play_arrow
A)
\[-3\,m{{s}^{-1}}\]
done
clear
B)
\[4\,m{{s}^{-1}}\]
done
clear
C)
\[-16\,m{{s}^{-1}}\]
done
clear
D)
\[-12\,m{{s}^{-1}}\]
done
clear
View Answer play_arrow
A)
3
done
clear
B)
7
done
clear
C)
6
done
clear
D)
5
done
clear
View Answer play_arrow
A)
4
done
clear
B)
5
done
clear
C)
2
done
clear
D)
3
done
clear
View Answer play_arrow
A)
\[\frac{\upsilon (6n-9)}{2n}\]
done
clear
B)
\[\frac{2\upsilon (6n-9)}{n}\]
done
clear
C)
\[\frac{2\upsilon (2n+1)}{n}\]
done
clear
D)
\[\frac{2\upsilon (n-1)}{n}\]
done
clear
View Answer play_arrow
A)
14 m
done
clear
B)
28 m
done
clear
C)
22 m
done
clear
D)
20 m
done
clear
View Answer play_arrow
A)
distance covered by the body is \[u+F/2\]
done
clear
B)
momentum of the body increases by F
done
clear
C)
final velocity of the body is \[u\text{ }+\text{ }F\]
done
clear
D)
all of these
done
clear
View Answer play_arrow
A)
5 sec.
done
clear
B)
10 sec.
done
clear
C)
15 sec.
done
clear
D)
30 sec.
done
clear
View Answer play_arrow
A)
- 10 cm/s
done
clear
B)
10 cm/s
done
clear
C)
20 cm/s
done
clear
D)
30 cm/s
done
clear
View Answer play_arrow
A)
4s
done
clear
B)
\[(4+2\sqrt{2})s\]
done
clear
C)
\[(2+2\sqrt{2})s\]
done
clear
D)
\[(4+4\sqrt{2})s\]
done
clear
View Answer play_arrow
A)
8 km/h
done
clear
B)
6.86 km/h
done
clear
C)
15.23 km/h
done
clear
D)
None of these
done
clear
View Answer play_arrow
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow