Weight of a body of mass m decreases by 1 % when it is raised to height h above the earth's surface. If the body is taken on depth h in a mine, change in its weight is

Question

Weight of a body of mass m decreases by 1 % when it is raised to height h above the earth's surface. If the body is taken on depth h in a mine, change in its weight is, 0 . 5 % , decrease, 2 % , increase, 0 . 5 % , increase, 2 % , decrease

MARKS App · Accepted Answer

At an altitude h the acceleration due to gravity is g ′ = g 1 - 2 h R e or mg ′ = mg 1 - 2 h R e ie , w ′ = w 1 - 2 h R e 99 100 w = w 1 - 2 h R e ie , h = 0 .005 R e At a point below the surface of the earth at depth h . The weight of the body given by w ′ = w 1 - h R e w ′ w = 0 .995 % ∆ w = 1 - 0 .995 w w × 100 % ∆ w = 0 .5 % , decrease

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