This test consists of MCQ questions from Circular Motion and Gravitation. There are 20 questions in all.
The people taking this test should mark the correct choice in the Response sheet
All entries submited before 17th Sept,12.00pm will be graded.
1. A point mass is placed inside a thin spherical shell of radius R and mass m at a distance R/2 from the centre of the shell. The gravitational force exerted by the shell on the point mass is ________
a) GM/(2R2 )
b) -GM/(2R2 )
c) zero
d) GM/(4R2 )
2. The mass and radius of Sun are 1.99 x 1030 kg and 6.96 x108 respectively. The escape velocity of a rocket from the Sun is __________
a) 11.2km/s
b) 2.38km/s
c) 59.5 km/s
d) 618km/s
3. A satellite of mass m is orbiting close to the surface of Earth (Radius R = 6400km) has a kinetic energy K. The corresponding kinetic energy of the satellite to escape from the earth’s gravitational field is __________
a) K
b) 2K
c) mgR
d) mK
4. The height from the Earth surface at which the value of acceleration due to gravity reduces to 1/4th of its value at earth’s surface (assume Earth to be a sphere of radius 6400km) _________
a) 6400km
b) 2649 km
c) 2946 km
d) 1600 km
5. A particle of mass m is rotating in a plane in circular path of radius r. Its angular momentum is L. the centripetal force acting on the particle is _________
a) L2/mr
b) mL2/r2
c) L2/(mr3 )
d) (L/mr)2
6. A cyclist riding a bicycle at a speed of 14√3 m/s takes a turn around a circular road of radius 20√3 m without skidding. Given g= 9.8m/s2, what is his inclination to the vertical?
a) 300
b) 450
c)600
d)900
7. Two particles having a mass M and m are moving in circular path having radius R and r. If their time periods are same, then the ratio of angular velocity will be _________.
a) r/R
b) R/r
c) 1
d)√(R/r)
8. A cyclist is riding with a speed of 36km/hr. As he approaches a circular turn on the road of radius 100m, he applies brakes and reduces his speed at the constant rate of 0.50m/s2 every second. What is the magnitude of the net acceleration of the cyclist on the circular turn?
a) √5 m/s2
b) 2m/s2
c) 1m/s2
d) √5/2 m/s2
9. Assuming the Earth to be a sphere of uniform mass density, how much would a body weigh half way down to the centre of the Earth, if it weighed 250N on the surface?
a) 100N
b) 125N
c) 150N
d) 175N
10.If a body is projected up from the Earth's surface with a velocity 20 % of the escape velocity, how high will it rise?
a) R/12
b) R/16
c) R/20
d) R/24
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