1
JEE Main 2025 (Online) 2nd April Evening Shift
MCQ (Single Correct Answer)
+4
-1

In a moving coil galvanometer, two moving coils $\mathrm{M}_1$ and $\mathrm{M}_2$ have the following particulars :

$$ \begin{aligned} & \mathrm{R}_1=5 \Omega, \mathrm{~N}_1=15, \mathrm{~A}_1=3.6 \times 10^{-3} \mathrm{~m}^2, \mathrm{~B}_1=0.25 \mathrm{~T} \\ & \mathrm{R}_2=7 \Omega, \mathrm{~N}_2=21, \mathrm{~A}_2=1.8 \times 10^{-3} \mathrm{~m}^2, \mathrm{~B}_2=0.50 \mathrm{~T} \end{aligned} $$

Assuming that torsional constant of the springs are same for both coils, what will be the ratio of voltage sensitivity of $M_1$ and $M_2$ ?

A
$1: 1$
B
$1: 3$
C
$1: 2$
D
$1: 4$
2
JEE Main 2025 (Online) 2nd April Evening Shift
MCQ (Single Correct Answer)
+4
-1

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Net dipole moment of a polar linear isotropic dielectric substance is not zero even in the absence of an external electric field.

Reason (R) : In absence of an external electric field, the different permanent dipoles of a polar dielectric substance are oriented in random directions.

In the light of the above statements, choose the most appropriate answer from the options given below :

A
Both (A) and (R) are correct and (R) is the correct explanation of (A) 2.
B
Both (A) and (R) are correct but (R) is not the correct explanation of (A)
C
(A) is not correct but (R) is correct
D
(A) is correct but (R) is not correct
3
JEE Main 2025 (Online) 2nd April Evening Shift
MCQ (Single Correct Answer)
+4
-1
If $\mu_0$ and $\epsilon_0$ are the permeability and permittivity of free space, respectively, then the dimension of $\left(\frac{1}{\mu_0 \epsilon_0}\right)$ is :
A
$\mathrm{T}^2 / \mathrm{L}$
B
$\mathrm{L}^2 / \mathrm{T}^2$
C
$\mathrm{T}^2 / \mathrm{L}^2$
D
$\mathrm{L} / \mathrm{T}^2$
4
JEE Main 2025 (Online) 2nd April Evening Shift
MCQ (Single Correct Answer)
+4
-1
A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the $x$-direction in 0.3 sec . The crest P is at $x=0$ at $\mathrm{t}=0 \mathrm{sec}$ and maximum displacement of the wave is 2 cm . Which equation correctly represents this wave?
A
$y=2 \cos (0.83 x-3.35 t) \mathrm{cm}$
B
$y=2 \sin (0.83 x-3.5 \mathrm{t}) \mathrm{cm}$
C
$y=2 \cos (0.13 x-0.5 t) \mathrm{cm}$
D
$y=2 \cos (3.35 x-0.83 \mathrm{t}) \mathrm{cm}$
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