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QNEET-2013-Ph-1521: NEET 2013 Physics - Class 11 NEET-2013-Ph-1521 Solution: Infinite number of bodies each of mass 2 kg are situated on…

Infinite number of bodies each of mass 2 kg are situated on x-axis at distance 1 m 2 m 4 m 8 m ... respectively from the origin. The resulting gravitational potential due to this system at the origin will be

-\frac{4}{3}G

-4G

-G

-\frac{8}{3}G

Multiple Choice Options

A $- {4 \over 3}$ _ 3 4 _ G
B $-$ _ 4G
C $-$ _ G
D $- {8 \over 3}$ _ 3 8 _ G

Step-by-Step Verified Solution

Gravitational potential V = _ G m r V 0 = _ G _ 2 1 _ G _ 2 2 _ G _ 2 4 _ G _ 2 8 = _ 2 G [ 1 + 1 2 + 1 4 + 1 8 + . . . � ] = _ 2 G _ 1 1 _ 1 2 = _ 2 G _ 1 1 2 = _ 4 G

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