Let g be acceleration due to gravity at earth's surface and K the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2%. Keeping all other quantities constant, then:

g increases by 2 % and K increases by 2 %

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g increases by 4 % and K increases by 4 %

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g increases by 4 % and K increases by 2 %

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g increases by 2 % and K increases by 4 %

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Solution

The correct option is B g increases by 4 % and K increases by 4 %
Answer is Option B

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Q. On the surface of earth acceleration due to gravity is g and gravitational potential is V.

Column-I	Column-II
a) At height h = R, value of g	(p) decreases by a factor 1/4
(b) At depth h = R/2 value of g	(q) decreases by a factor 1/2
(c) At height h = R, of V	(r) Increases by a factor 11/8
(d) At depth h = R/2 of V	(s) Increases by a factor 2 (t) None

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A ball is whirled on the end of a string in a horizontal circle of radius R at constant speed v. The centripetal acceleration of the ball can be increased by a factor of 4 by:

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Let g be acceleration due to gravity at earth's surface and K the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2%. Keeping all other quantities constant, then:

The correct option is B g increases by 4 % and K increases by 4 %Answer is Option B

The correct option is B g increases by 4 % and K increases by 4 %
Answer is Option B