Physics MCQs for NEET — Practice Questions with Answers

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The escape velocity of a particle of mass m varies as

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Explanation

(c) Because it does not depend on the mass of projectile

Acceleration due to gravity is ‘g’ on the surface of the earth. The value of acceleration due to gravity at a height of 32 km above earth’s surface is (Radius of the earth = 6400 km)

 

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Explanation

(b) h=32 km, R=6400k, so h<<R

g1=g 1-2hR=g 12×326400g1=99100 g=0.99g

The time period of a simple pendulum on a freely moving artificial satellite is

         

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Explanation

d) Time period of simple pendulum T=2πLgeff 

For the moon to cease to remain the earth's satellite, its orbital velocity has to increase by a factor of -

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Explanation

 (b)   ve=2v0, i.e. if the orbital velocity of moon is increased by factor of 2 then it will escape out from the gravitational field of earth

The height of the point vertically above the earth’s surface, at which acceleration due to gravity becomes 1% of its value at the surface is (Radius of the earth = R)

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Explanation

(b)

 g=GMR2g'=GM(R+h)2 & g'=1% of g'=1100×gg'g =RR+h21100=RR+h2h=9r

Escape velocity on a planet is ve. If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes

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Explanation

(b) ve=2GMR ve  M if R=constant

The mass of the earth is 81 times that of the moon and the radius of the earth is 3.5 times that of the moon. The ratio of the escape velocity on the surface of earth to that on the surface of moon will be

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Explanation

(c) escape velocity 

             ve=2GMRso, vevm=MeRmMmRe=813.5=4.81

If radius of earth is R then the height h’ at which value of ‘g’ becomes one-fourth is 

R8

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Explanation

(c) g'=gRR+h2=g4 

By solving h = R    

The escape velocity from the surface of earth is Ve . The escape velocity from the surface of a planet whose mass and radius are 3 times those of the earth will be

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Explanation

(a) ve=2GMR so, ve MR

If mass and radius of the planet are three times than that of earth then escape velocity will be same

How much energy will be necessary for making a body of 500 kg escape from the earth ?
g=9.8 m/s2, radius of earth=6.4×106m
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Explanation

(c) Potential energy of a body at the surface of earth

PE = -GMmR=gR2mR=-mgR       =-500×9.8×6.4×106=-3.1×1010 J

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