1
MHT CET (PCB) 2025 9th April Evening Shift
MCQ (Single Correct Answer)
+1
-0

A rod of circular cross-sectional area A and length $L$ is wound uniformly with $n$ turns of an insulated wire. If current flowing through the windings is I, the total magnetic flux produced inside windings is $\phi$. The relative permeability of the rod is ( $\mathrm{N}=$ number of turns per unit length) $\left(\mu_0=\right.$ permeability of vacuum $)$

A

$\frac{\phi \mathrm{L}}{\mu_0 \mathrm{NIA}}$

B

$\frac{\phi}{\mu_0 \text { INAL }}$

C

$\frac{\mu_0 \mathrm{IAN}}{\phi \mathrm{L}}$

D

$\frac{\mu_0 \mathrm{NA}}{\phi \mathrm{LI}}$

2
MHT CET (PCB) 2025 9th April Evening Shift
MCQ (Single Correct Answer)
+1
-0

Magnetic field at the centre of a circular loop of area ' $A$ ' is ' $B$ '. The magnetic moment of the loop is ' $x B$ '. The value of ' $x$ ' is ( $\mu_0=$ permeability of vacuum or free space)

A

$\frac{\sqrt{A^3}}{\mu_0 \pi}$

B

$\frac{2 \sqrt{A}}{\mu_0 \pi}$

C

$\frac{2}{\mu_0} \sqrt{\frac{\mathrm{~A}^3}{\pi}}$

D

$\frac{2}{\mu_0} \sqrt{\frac{\mathrm{~A}}{\pi}}$

3
MHT CET (PCB) 2025 9th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A straight wire of mass ' M ' and length 2 m is placed in a magnetic field of 2 T which is acting perpendicular to the length of the wire. When a current of 1 A flows through the wire, the wire experiences an upthrust and leviates in a magnetic field. The mass ' $M$ ' of the wire is (acceleration due to gravity $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )

A

0.4 gram

B

40 gram

C

400 gram

D

0.04 gram

4
MHT CET (PCB) 2025 9th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment of the coil is $x$ times $\left(2 B / \mu_0\right)$. The value of $x$ is ( $\mu_0=$ permeability of free space)

A

$\left(\frac{\mathrm{A}}{\pi^2}\right)^{\frac{1}{3}}$

B

$\left(\frac{\pi^3}{A^3}\right)^{\frac{1}{2}}$

C

$\left(\frac{\pi^2}{\mathrm{~A}^2}\right)^{\frac{1}{3}}$

D

$\left(\frac{A^3}{\pi}\right)^{\frac{1}{2}}$

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