Question

The weight of an object would be minimum when it is placed :

• A. At the North Pole
• B. At the South Pole
• C. At the Equator
• D. At the Centre of the Earth

Answer 1

The correct option is D At the Centre of the Earth

$Answer:-$ D

Value of g at any point on surface of earth is given by:-

$g^{\prime }=g-{\omega }^{2}R\cos \phi$

At equator $cos\phi =1so{g}^{\prime }=g-{\omega }^{2}R$

Value of $\cos \phi <1$ at every point other than equator.

So, $g^{\prime }$ will be more at any point other than equator relative to equator.

Variation of $g$ with depth is given by:

$g_d=g(1-\frac{d}{R})$

So, when depth d is maximum g is minimum. So, weight (mg) will also be minimum.