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Solution


Q.

Given below are two statements:

Statement I: If the number of turns in the coil of a moving coil galvanometer is doubled, then the current sensitivity becomes double.

Statement II: Increasing current sensitivity of a moving coil galvanometer by only increasing the number of turns in the coil will also increase its voltage sensitivity in the same ratio.

In the light of the above statements, choose the correct answer from the options given below:                     [2023]
1 Statement I is false but Statement II is true  
2 Both Statement I and Statement II are true  
3 Both Statement I and Statement II are false  
4 Statement I is true but Statement II is false  

Ans.

(4)

For a moving coil galvanometer

BiNA=kθ

θ=(BNAk)i;  current sensitivity=BNAk

So, if N is doubled then current sensitivity is doubled.

Voltage sensitivity

BVRNA=kθ

V=BNARkθ as N is doubled R is also doubled.

So, no change in voltage sensitivity.

Hence, option (4) is right.