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For the following diagram the galvanomet...

For the following diagram the galvanometer shows zero deflection then what is the value of R?

A

(1/2,1/2,1/2

B

(1/3,1/3,1/3)

C

(3/4,3/4,3/4)

D

(1/2,3/4,1/2)

Text Solution

Verified by Experts

The correct Answer is:
(C )

First we find the centre of mass of each cube. It is located by symmetry: `(0.5, 0.5, 0.5), (1.5, 0.5, 0.5), (0.5, 1.5, 0.5), (0.5, 0.5, 1.5)`. Now we find the centre of mass by treating the COM of each cube as a point particle:
`x_(COM) = (0.5 + 1.5 + 0.5 + 0.5)/(4) = 0.75 , y_(COM) = (0.5 + 0.5 + 1.5 + 0.5)/(4) = 0.75`
`z_(COM) = (0.5 + 0.5 + 0.5 + 1.5)/(4) = 0.75`
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