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Class XI Physics Gravitation Quiz 3

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Question 1

A star of mass M and radius R is made up of gases. The average gravitational pressure compressing the star due to gravitational pull of the gases making up the star depends on R as

Question 2

A certain planet completes one rotation about its axis in time T. The weight of an object placed at the equator on the planer’s surface is a fraction f(f is close o to unity) of its weight recorded at a latitude of 60°. The density of the planet assumed to be a uniform perfect sphere) is given by

Question 3

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

Question 4

The escape velocity from a planet is V. If its mass and radius becomes four and two times respectively, then the escape velocity will become -

Question 5

If, the quantity, a³/ P² is same for all planets orbiting around the sun, then calculate the distance of a planet V that takes 3.63 years to orbit the Sun.

Question 6

A mass M at rest is broken into two pieces having masses m and (M - m). The two masses are then separated by a distance r. The gravitational force between then will be the maximum when the ratio of the masses [m : (M - m)] of the two parts is

Question 7

Six objects are placed at the vertices of a regular hexagon. The geometric center of the hexagon is at the origin with objects 1 and 4 on the x-axis (see figure). The mass of the

kth object is

where i is an integer, M is a constant with a dimension of mass, and

is the angular position of the

vertex measured from the positive x-axis in the counter-clockwise sense. If the net gravitational force on a body at the centroid vanishes, the value of i is