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Q.

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as reason (R). 

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a

Both (A) and (R) are true and (R) is the correct explanation of (A)

b

Both (A) and (R) are true but (R) is not the correct explanation of (A)

c

(A) is true but (R) is false

d

Both (A) and (R) are false

answer is A.

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Detailed Solution

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As the number of turns increases, length of the coil wire also increases, which increases the resistance of the coil.

Current sensitivity:

Si=θI=NABC 

Voltage sensitivity:

Sv=θV=NABGC

Where G is resistance of galvanometer.

SvSi=1GSV=1GSi

Clearly the voltage sensitivity depends on current sensitivity and the resistance of galvanometer. If we increase current sensitivity, then it is not certain that voltage sensitivity will be increased because the resistance also increases. Thus, the increase of current sensitivity does not imply the increases of voltage sensitivity.

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