MHT CET 2024 9th May Morning Shift | Electromagnetic Induction Question 23 | Physics

A metal rod of length ' $l$ ' rotates about one of its ends in a plane perpendicular to a magnetic field of induction ' $B$ '. If the e.m.f. induced between the ends of the rod is ' $e$ ', then the number of revolutions made by the rod per second is

$\frac{\mathrm{e}}{\mathrm{B} \pi^2 l}$

$\frac{\mathrm{e}}{\mathrm{B} \pi l^2}$

$\frac{\mathrm{B}^2}{\mathrm{e} \pi l}$

$\frac{\pi l^2}{\mathrm{eB}}$

MHT CET 2024 9th May Morning Shift

MCQ (Single Correct Answer)

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Two coils have a mutual inductance $5 \times 10^{-3} \mathrm{H}$. The current changes in the first coil according to the equation $I_1=I_0 \sin \omega t$ where $I_0=10 \mathrm{~A}$ and $\omega=100 \pi \mathrm{rad} / \mathrm{s}$. What is the value of the maximum e.m.f. in the coil?

$2 \pi \mathrm{~V}$

$3 \pi \mathrm{~V}$

$4 \pi \mathrm{~V}$

$5 \pi \mathrm{~V}$

MHT CET 2024 9th May Morning Shift

MCQ (Single Correct Answer)

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The magnetic flux through a coil of resistance ' $R$ ' changes by an amount ' $\Delta \phi$ ' in time ' $\Delta t$ '. The amount of induced current and induced charge in the coil are respectively

$\left(\frac{\Delta \phi}{\Delta t}\right) R$ and $\frac{R}{\Delta \phi}$

$\frac{\Delta \phi}{\mathrm{R}}$ and $\mathrm{R}\left(\frac{\Delta \mathrm{t}}{\Delta \phi}\right)$

$\frac{\Delta \phi}{\mathrm{R}}+\mathrm{R}$ and $\frac{\Delta \phi}{\Delta \mathrm{t}}$

$\left(\frac{\Delta \phi}{\Delta \mathrm{t}}\right) \times \frac{1}{\mathrm{R}}$ and $\frac{\Delta \phi}{\mathrm{R}}$

MHT CET 2024 4th May Evening Shift

MCQ (Single Correct Answer)

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The planar concentric rings of metal wire having radii $r_1$ and $r_2$ (with $r_1>r_2$ ) are placed in air. The current $I$ is flowing through the coil of larger radius. The mutual inductance between the coils is given by ( $\mu_0=$ permeability of free space)

$\frac{\mu_0 \pi\left(r_1+r_2\right)^2}{2 r_2}$

$\frac{\mu_0 \pi\left(r_1-r_2\right)^2}{2 r_1}$

$\frac{\mu_0 \pi r_1^2}{2 r_2}$

$\frac{\mu_0 \pi r_2^2}{2 r_1}$

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