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Question-1 Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then

(A) g' = 3g	(B)
(C)g' = 9 g	(D)g' = 27g

Question-2 The escape velocity of a sphere of mass m is given by (G = universal gravitational constant, M_e = mass of earth and R_e = radius of earth)

(A)	(B)
(C)	(D)

Question-3
The escape velocity of a body on the surface of the earth is 11.2 km/s. If the earth's mass increases to twice its present value and the radius of the earth becomes half, the escape velocity would become

(A) 44.8 km/s	(B) 22.4 km/s
(C) 11.2 km/s (remain unchanged)	(D) 5.6 km/s

Question-4
The escape velocity from earth is 11.2 km/s. If a body is to be projected in a direction making an angle 45^o to the vertical, then the escape velocity is

(A) 11.2 x 2 km/s	(B) 11.2 km/s
(C) ^11.2/_√2 km/s	(D) 11.2√2 km/s

Question-5 A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is

(A)	(B)
(C)	(D)

Question-6
Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be

(A)	(B)
(C) 3F	(D) F

Question-7
A planet is moving in elliptical orbit around the sun. If T, U, E and L stand for its kinetic energy, gravitational potential energy, total energy and magnitude of angular momentum about the centre of force, which of the following is correct?

(A) T is conserved	(B) U is always positive
(C) E is always negative	(D) L is conserved but direction of vector L changes continuously

Question-8 The period of revolution of planet A round the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun ?

(A) 5	(B)4
(C)3	(D)2

Question-9 Two satellites of earth, S₁ and S₂ , are moving in the same orbit. The mass of is S₁ four times the mass of S₂ . Which one of the following statements is true ?

(A) The time period of S₁ is four times that of S₂	(B)The potential energies of earth and satellite in the two cases are equal.
(C)S₁ and S₂are moving with the same period	(D)The kinetic energies of the two satellites are equal

Question-10 Escape velocity from earth is 11.2 km/s. Another planet of same mass has radius 1/4 times that of earth. What is the escape velocity from another planet ?

(A) 11.2 km/s	(B)44.8 km/s
(C)22.4 km/s	(D)5.6 km/s

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Plus 1 Biology Science

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