11.Two satellites have orbital radii R and 1.01 R. Their orbital periods differ by _____
a)1%
b)1.5%
c)2%
d)2.5%
12.If the gravitational force between two point masses were inversely proportional to the nth power of the distance between them, what would be the relation between the orbital period (T) of a planet around the sun and the mean distance (r) of the planet from the sun?
a)T2 α rn
b)T2 α r2n+1
c)T2 α rn+1
d)T2 α rn-1
13.In uniform circular motion of a particle which one among the following does not remain constant?
a) Kinetic Energy
b) Speed
c) Angular Momentum
d) Linear Momentum
14. A body weighs 63kgwt on the surface of Earth.Its weight on the surface of Mars will be ______(Mass of Mars = 1/9 mass of Earth, Radius of Mars = 1/2 Radius of Earth)
a)25 kgwt
b)28 kgwt
c)30kgwt
d)34kgwt
15.A particle is originally at rest at the highest point of a smooth vertical circle of radius R. If the particle is slightly displaced, the distance below the highest point where the particle will leave the circle is _______
a) R
b) R/2
c) R/3
d) R/4
16.The speed of an artificial satellite moving in an orbit of radius r around the earth is increased by 41.4%. The satellite will _______
a)continue to move in the same orbit
b)move in an orbit of radius 1.414r
c) move in a orbit of radius 0.414r
d) escape into the outer space
17.A body revolves n times in a circle of radius π cm in one minute. Its linear velocity is _____
a) 60/2n m/s
b) 2n/60 m/s
c) 2π2n/60 m/s
d) 2πn/60m/s
18.A particle is moving in a circle of radius r centered at O with a constant speed v. What is the change velocity in moving from A to B if ∠ AOB = π/3?
a) 2vsin(π/6)
b) 2vcos(π/6)
c) 2vsin(π/3)
d) 2vcos(π/3)
19.If the Earth of Radius R, while rotating with angular velocity ω becomes stand still, what will be the effect on the weight of a body of mass m at latitude of 450?
a) Remains unchanged
b) Decreases by Rω2
c) Increases by Rω2
d) Increases by Rω2/2
20. For a particle in circular motion, the centripetal acceleration is _______.
a) less than its tangential acceleration
b) equal to its tangential acceleration
c) more than its tangential acceleration
d) maybe more or less than its tangential acceleration
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