Infinite number of masses, each 1 kg, are placed along the x- axis at x=±1m, ± 2m, ± 4m, ±8m,±16m............. The magnitude of the resultant gravitational potential in terms of gravitational constant G at the origin (x = 0) is

Question:

Infinite number of masses, each 1 kg, are placed along the x- axis at x=±1m, ± 2m, ± 4m, ±8m,±16m…………. The magnitude of the resultant gravitational potential in terms of gravitational constant G at the origin (x = 0) is

Options :

(a) G/2
(b) G
(c) 2G
(d) 4G
(e) 8G

Answer :

(d) 4G

Answer Steps :

step 1

step 2

step 3

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