Please solve q 117?

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Answer 1 · 2018-04-13T12:24:17

The answer is $option (a)$ $"option (a)"$

The equation for $g$ $g$ is

$g = \frac{G M}{R^{2}}$ $g=(GM)/R^2$

$g'=(GM)/(R+h)^2$

$(g')/g=R^2/(R+h)^2$

$(g')/g=R^2(R+h)^(-2)$

$=(1+h/R)^-2$

$=(1-2h/R)$

$g'=g(1-2h/R)$

The weight is

$w=mg'=mg(1-2h/R)$

so,

$(dw)/dh=-(2mg)/R$

Therefore,

The weight varies as $h^0$

The answer is $"option (a)"$