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Standard X

Physics

Work Done by Force of Gravity

Masses of 1 k...

Question

Masses of 1 kg each are placed 1 m, 2 m, 4 m, 8 m,...... from a point P. The gravitational field intensity at P due to these masses is

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Solution

The correct option is D
$G r a v i t a t i o n a l f i e l d I = \frac{G m}{r^{2}} N e t f i e l d = G (1) [\frac{1}{1^{2}} + \frac{1}{2^{2}} + \frac{1}{4^{2}} + \frac{1}{8^{2}} + \dots \dots] = \frac{4 G}{3}$

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Masses of 1 kg each are placed 1 m, 2 m, 4 m, 8 m,...... from a point P. The gravitational field intensity at P due to these masses is

The correct option is D Gravitational field I=Gmr2Net field=G(1)[112+122+142+182+……]=4G3

The correct option is D
$G r a v i t a t i o n a l f i e l d I = \frac{G m}{r^{2}} N e t f i e l d = G (1) [\frac{1}{1^{2}} + \frac{1}{2^{2}} + \frac{1}{4^{2}} + \frac{1}{8^{2}} + \dots \dots] = \frac{4 G}{3}$