1
JEE Main 2025 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A coil of area A and N turns is rotating with angular velocity $\omega$ in a uniform magnetic field $\vec{B}$ about an axis perpendicular to $\vec{B}$. Magnetic flux $\varphi$ and induced emf $\varepsilon$ across it, at an instant when $\vec{B}$ is parallel to the plane of coil, are :

A

φ = AB, φ = NABω

B

φ = AB, φ = 0

C

φ = 0, ε = 0

D

φ = 0, ε = NABω

2
JEE Main 2025 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Consider I1 and I2 are the currents flowing simultaneously in two nearby coils 1 & 2, respectively. If L1 = self inductance of coil 1, M12 = mutual inductance of coil 1 with respect to coil 2, then the value of induced emf in coil 1 will be :

A

e1 = -L1$\frac{dI_2}{dt}$ - M12$\frac{dI_1}{dt}$

B

e1 = -L1$\frac{dI_1}{dt}$ + M12$\frac{dI_2}{dt}$

C

e1 = -L1$\frac{dI_1}{dt}$ - M12$\frac{dI_1}{dt}$

D

e1 = -L1$\frac{dI_1}{dt}$ - M12$\frac{dI_2}{dt}$

3
JEE Main 2025 (Online) 28th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in radius. The disc is having a uniform angular velocity of 10 $ \pi $ rad s-1 about an axis through its centre and perpendicular to the disc. What is the potential difference developed between the axis of the disc and the rim? $(\pi=3.14)$

A

0.5024 V

B

0.0628 V

C

0.2512 V

D

0.1256 V

4
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Regarding self-inductance:

A. The self-inductance of the coil depends on its geometry.

B. Self-inductance does not depend on the permeability of the medium.

C. Self-induced e.m.f. opposes any change in the current in a circuit.

D. Self-inductance is electromagnetic analogue of mass in mechanics.

E. Work needs to be done against self-induced e.m.f. in establishing the current.

Choose the correct answer from the options given below:

A
A, B, C, E only
B
A, B, C, D only
C
A, C, D, E only
D
B, C, D, E only
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