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Q.

The force between the two poles is reduced to 'x'  newton, when their separation  is increased to n times. From this value, it increases by ‘y’ newtons when their separation made 1nthof their original value. The relation between x and y  is

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a

x=y(n4−1)

b

x=n4y

c

y=(1-n4)x

d

y=(n4−1)x

answer is D.

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Detailed Solution

We know, F=μ04πm1m2r2 ⇒F ∝1r2Initially, x∝1n2  .......(1); Finally , x+y∝11n2......(2);Dividing, (1)(2) ⇒xx+y=1n4⇒x+y=(n4)x ⇒y=n4x−x=x(n4−1)
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