Consider a moving coil galvanometer (MCG) : A : The torsional constant in moving coil galvanometer has dimensions [ ML 2 T -2 ] B : Increasing the current sensitivity may not necessarily increase the voltage sensitivity. C : If we increase number of turns ( N ) to its double (2 N ) , then the voltage sensitivity doubles. D : MCG can be converted into an ammeter by introducing a shunt resistance of large value in parallel with galvanometer. E: Current sensitivity of MCG depends inversely on number of turns of coil. Choose the correct answer from the options given below :

Physics · Units, Dimensions & Error Analysis

JEE Main 2025 — 23 January, Morning Shift — Question 58

Consider a moving coil galvanometer (MCG) :

A : The torsional constant in moving coil galvanometer has dimensions [ $\mathrm{ML}^{2} \mathrm{~T}^{-2}$ ]

B : Increasing the current sensitivity may not necessarily increase the voltage sensitivity.

C : If we increase number of turns $(\mathrm{N})$ to its double $(2 \mathrm{~N})$ , then the voltage sensitivity doubles.

D : MCG can be converted into an ammeter by introducing a shunt resistance of large value in parallel with galvanometer.

E: Current sensitivity of MCG depends inversely on number of turns of coil.

Choose the correct answer from the options given below :

(A) $\tau=\mathrm{C} \theta \Rightarrow\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]=[\mathrm{C}][1]$

(B) $\mathbf{C} . \boldsymbol{S}=\frac{\theta}{\mathrm{I}}=\frac{\mathrm{BNA}}{\mathrm{C}}$ ;

V.S. $=\frac{\mathrm{BNA}}{\mathrm{RC}}[\mathrm{R}$ also depends on ' N ']

(D) False [Theory][0pt]

(E) E [False]

$C . S \propto N$

$\Rightarrow \because$ C.S. $=\frac{\mathrm{NAB}}{\mathrm{C}}$

Answer key and solution verified before publishing.

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