Gravitation MCQs for NEET — Physics Questions with Answers

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The depth d at which the value of acceleration due to gravity becomes 1n  times the value at the surface, is [R = radius of the earth]

         

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Explanation

(b)         g1=g 1-dRgn=g1-dRd=n-1n R

The diameters of two planets are in the ratio 4 : 1 and their mean densities in the ratio 1 : 2. The acceleration due to gravity on the planets will be in ratio

         

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Explanation

(c)        g=43GπRpg1g2=p1R1p2R2=12×41=21

At what altitude in metre will the acceleration due to gravity be 25% of that at the earth's surface (Radius of earth = R metre)

           

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Explanation

b)   g'=gRR+h2g4=gRR+h212=RR+hR+h=2R So, h=R

The gravitational potential energy of a body of mass ‘m’ at the earth’s surface -mgRe. Its gravitational potential energy at a height Re from the earth’s surface will be (Here Re  is the radius of the earth)

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Explanation

(d) U=U2-U1=mgh1+hRe=mgRe1+ReRe=mgRe2

        U2+mgRe=mgRe2U2=-12mgRe

If the angular speed of the earth is doubled, the value of acceleration due to gravity (g) at the north pole

           

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Explanation

(c)         Acceleration due to gravity at poles is independent of the angular speed

Escape velocity of a body of 1 kg mass on a planet is 100 m/sec. Gravitational Potential energy of the body at the planet is -

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Explanation

(a)         Ve=2GMR=100GMR=5000Potential energy  U=-GMmr=-5000J

At the surface of a certain planet, acceleration due to gravity is one-quarter of that on earth. If a brass ball is transported to this planet, then which one of the following statements is not correct ?

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Explanation

(a) Mass of the ball always remain constant. It does not depend upon the acceleration due to gravity

A body of mass m is placed on the earth’s surface. It is taken from the earth’s surface to a height 3R . The change in gravitational potential energy of the body is -

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Explanation

(b)         U=mgh1+hR=mg×3R1+3RR=34mgR

Weight of 1 kg becomes 1/6 kg on moon. If radius of moon is 1.768×106m, then the mass of moon will be -

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Explanation

(d)    gm=GMmRm2  and gm=ge6=9.86m/s2= 1.63m/s2

A geo-stationary satellite is orbiting the earth at a height of 6 R above the surface of earth, R being the radius of earth. The time period of another satellite at a height of 2.5 R from the surface of earth is

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Explanation

(d)   Distances of the satellite from the centre are 7R and 3.5R respectively.

        T2T1=R2R132T2 =243.5R7R32  =62 hr
 

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