question_answer 1)
At a place, value of g is less by 1% than its value on the surface of the Earth (Radius of Earth = 6400 km). The place is
A)
64 km below the surface of the Earth done
clear
B)
64 km above the surface of the Earth done
clear
C)
30 km above the surface of the Earth done
clear
D)
32 km below the surface of the Earth. done
clear
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question_answer 2)
A body is suspended from a spring balance kept in a satellite. The reading of the spring balance is \[{{W}_{1}}\] when the satellite goes in an orbit of radius R and \[{{W}_{2}}\] when it goes in an orbit of radius 2R. Which of the following is correct?
A)
\[{{W}_{1}}={{W}_{2}}\] done
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B)
\[{{W}_{1}}<{{W}_{2}}\] done
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C)
\[{{W}_{1}}>{{W}_{2}}\] done
clear
D)
\[{{W}_{1}}\ne {{W}_{2}}\] done
clear
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question_answer 3)
The height at which the acceleration due to gravity becomes g/9 (where g is the acceleration due to gravity on the surface of the Earth) in terms of R, the radius of the Earth is
A)
2R done
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B)
\[R/\sqrt{2}\] done
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C)
\[R/2\] done
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D)
\[\sqrt{2}/R\] done
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question_answer 4)
A stone is allowed to fall from the top of the tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. The two stones will meet above the ground at height of
A)
20 m done
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B)
10.2 m done
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C)
11.2 m done
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D)
15.5m done
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question_answer 5)
Two rubber balls of the same size are dropped on the Earth and on the Moon. One ball is solid, and one is hollow. The approximate gravitational field strength on the Earth is 10 N/kg and on the Moon is 1.7 N/kg. Which ball has the greatest force acting on it?
A)
B)
C)
D)
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question_answer 6)
Read the given statements and mark the correct option.
Statement 1: The value of acceleration due to gravity of Earth does not depend upon mass of the body.
Statement 2: Acceleration due to gravity is a constant quantity.
A)
Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1. done
clear
B)
Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1. done
clear
C)
Statement 1 is true but statement 2 is false. done
clear
D)
Both statements 1 and 2 are false. done
clear
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question_answer 7)
Match the column I with column II and select the correct option from the codes given below.
Column I Column II (a) \[g\] at height \[h\] (i) \[g\left( 1-\frac{2h}{R} \right)\] (b) \[g\] at depth \[h\] (ii) \[\frac{GM}{{{R}^{2}}}\] (c) \[{{g}_{poles}}\] (iii) \[g\left( 1-\frac{h}{R} \right)\] (d) \[g\] (iv) Maximum
A)
(a) - (i), (b) - (ii), (c) - (iii), (d) - (iv) done
clear
B)
(a) - (ii), (b) - (iii), (c) - (iv), (d) - (i) done
clear
C)
(a) - (i), (b) - (iii), (c) - (iv), (d) - (ii) done
clear
D)
(a) - (ii), (b) - (iv), (c) - (i), (d) - (iii) done
clear
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question_answer 8)
Average distance of the earth from the sun is\[{{L}_{1}}\]. If one year of the earth = D days, one year of another planet whose average distance from the sun is \[{{L}_{2}}\] will be
A)
\[D{{\left( \frac{{{L}_{2}}}{{{L}_{1}}} \right)}^{1/2}}days\] done
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B)
\[D{{\left( \frac{{{L}_{2}}}{{{L}_{1}}} \right)}^{3/2}}days\] done
clear
C)
\[D{{\left( \frac{{{L}_{2}}}{{{L}_{1}}} \right)}^{2/3}}days\] done
clear
D)
\[D\left( \frac{{{L}_{2}}}{{{L}_{1}}} \right)days\] done
clear
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question_answer 9)
Which of the following is not correct?
A)
If we drop a 10Ib iron ball and 1Ib aluminium ball from the top of a high platform inside a mine, then both will reach the floor at the same time. done
clear
B)
The gravitational force of attraction between the two bodies increases when their masses are increased and distance is reduced. done
clear
C)
We do not observe small objects moving towards each other because frictional force balances the gravitational pull. done
clear
D)
When a body is thrown up, the acceleration due to gravity at the topmost point is zero because velocity of the body is zero. done
clear
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question_answer 10)
Riya buys a bag of sugar of weight W at a place on the equator. She takes it to Antarctica. The weight of a sugar bag at Antarctica
A)
Increases done
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B)
Decreases done
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C)
Remains same as the weight at a place on equator done
clear
D)
Cannot be said. done
clear
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question_answer 11)
Which of the following graphs shows an approximate variation of g with height h above the Earth's surface?
A)
B)
C)
D)
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question_answer 12)
Read the given statements and select the correct option.
Statement 1: A pendulum can vibrate in an artificial satellite. Statement 2: Inside the satellite, acceleration due to gravity is zero.
A)
Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1. done
clear
B)
Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1. done
clear
C)
Statement 1 is true but statement 2 is false. done
clear
D)
Statement 1 is false but statement 2 is true. done
clear
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question_answer 13)
A coil of wire of cross-section \[0.50\text{ }m{{m}^{2}}\] weighs 75g in air and 65g in water. The length of the coil in cm is
A)
\[\frac{{{10}^{2}}}{50}\] done
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B)
\[\frac{{{10}^{2}}}{0.50}\] done
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C)
\[\frac{{{10}^{5}}}{50}\] done
clear
D)
\[\frac{{{10}^{5}}}{0.0050}\] done
clear
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question_answer 14)
A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of ball above the ground in \[T/5\] seconds?
A)
\[\frac{h}{25}m\] done
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B)
\[25h\,\,m\] done
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C)
\[24h\,\,m\] done
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D)
\[\frac{24}{25}h\,\,m\] done
clear
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question_answer 15)
The gravitational force between two masses kept at a certain distance is p N. The same two masses are now kept in water and the distance between them are same.
The gravitational force between these two masses in water is q N. Then.
A)
p = q done
clear
B)
p < q done
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C)
p > q done
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D)
None of these done
clear
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question_answer 16)
Consider the following figures 1 and 2. In figure 1, the mass of the body A in air is 0.2 kg. The mass of the water container (with water in it) is 0.5 kg. In figure 2, when A is completely immersed in the water of the container B, the readings of the respective balances change as shown.
What is the value of X?
A)
0.55 kg done
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B)
0.15 kg done
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C)
0.3 kg done
clear
D)
0.45 kg done
clear
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question_answer 17)
Suppose, the acceleration due to gravity at the Earth's surface is \[10\text{ }m\text{ }{{s}^{-2}}\] and at the surface of Mars is \[4\text{ }m\text{ }{{s}^{-2}}\]. A 60 kg passenger goes from the Earth to the Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky. Which part of figure best represents the weight (net gravitational force) of the passenger as a function of time?
A)
P done
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B)
Q done
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C)
R done
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D)
S done
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question_answer 18)
A tank 2 m high is half filled with water and then filled to the top with oil of density 0.60 g/cc. What is the pressure at the bottom of the tank due to these liquids?
\[(Take\text{ }g\text{ }=\text{ }10\text{ }m\text{ }{{s}^{-2}})\]
A)
\[0.8\times {{10}^{2}}\text{ }N\text{ }{{m}^{-2}}\] done
clear
B)
\[0.8\times {{10}^{4}}\text{ }N\text{ }{{m}^{-2}}\] done
clear
C)
\[1.6\times {{10}^{2}}\text{ }N\text{ }{{m}^{-2}}\] done
clear
D)
\[1.6\times {{10}^{4}}\text{ }N\text{ }{{m}^{-2}}\] done
clear
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question_answer 19)
An object floats in water such that \[\frac{1}{4}th\] of its volume is above the surface of water.
When the same object is made to float in sample of impure alcohol, the volume that remains outside the liquid is \[\frac{1}{10}\] of total volume. The relative density of the sample of alcohol will be
A)
84 done
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B)
8.4 done
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C)
0.84 done
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D)
0.084 done
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question_answer 20)
Two fixed point masses of 10 kg and 20 kg are located at (0 m, 0 m) and (5 m, 0 m). Where should a third point mass of 30 kg be kept so that the net force of attraction on 30 kg mass due to point masses 10 kg and 20 kg is zero?
A)
At 2.05 m from 10 kg mass done
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B)
At 2.05 m from 20 kg mass done
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C)
At 2.95 m from 10 kg mass done
clear
D)
At 3 m from 20 kg mass done
clear
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