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hard question of jee mains

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JEE
Module
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FOUNDATION


Uday 2025
Physics
DPP: 2
Gravitation

Q1 Acceleration due to gravity at the centre of the Q6 The depth at which the effective value
g
earthis :- of acceleration due to gravity is 4 is
(A) g (A) R
g
(B) 2 (B) 3R
4
(C) Zero (C) R
2
(D) Infinite (D) R
4

Q2 When the radius of earth is reduced by Q7 What should be the angular speed of earth, so
1% without changing the mass, then that body lying on equator may
the acceleration due to gravity will appear weightlessness
(A) Increase by 2% (g = 10 m/s2 , R = 6400 km)
(B) Decrease by 1.5% 1
(A) 800 rad/s
(C) Increase by 1% 1
(B) 400 rad/s
(D) Decrease by 1% 1
(C) 600 rad/s
1
Q3 When a body is taken from the equator to the (D) 100 rad/s
poles, its weight
Q8 A body weighs W newton at the surface of the
(A) Remains constant
earth. Its weight at a height equal to half the
(B) Increases
radius of the earth will be:
(C) Decreases
(A) W
(D) Increases at N -pole and decreases at S pole 2
(B) 2W
3
Q4 A body weighs 700gmwt on the surface of the (C) 4W
9
earth. How much will it weigh on the surface of a (D) W
1 4
planet whose mass is 7 and radius is half that of
the earth Q9 A body of mass m rises to height h = R/5 from
(A) 200gmwt the earths surface, where R is earths radius. If g
(B) 400gmwt is acceleration due to gravity at earths surface,
(C) 50gmwt the increase in potential energy is
(D) 300gmwt (A) mgh
(B) 45 mgh
Q5 At what altitude in metre will the acceleration
(C) 56 mgh
due to gravity be 25% of that at the earths
(D) 6 mgh
7
surface (Radius of earth = R metre)
(A) 14 R Q10 What is the intensity of gravitational field at the
(B) R centre of a spherical shell
(C) 38 R (A) Gm/r 2
(D) R (B) g
2




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