Please solve q 117?

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1 Answer
Narad T.
Apr 13, 2018

The answer is #"option (a)"#

Explanation:

The equation for #g# is

#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)"#

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