1
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Two circular coils X (smaller) and Y (bigger), each having a single turn, carry equal currents in the same direction and subtend the same angle at point 'O' along the axis of the coil. The distances of the centers of coil to point 'O' are $d$ and $\left(\dfrac{d}{2}\right)$ for coil Y and X respectively. The radii of coils Y and X are $(2r)$ and $(r)$ respectively. The magnetic induction due to the bigger coil at point 'O' is $B_y$ and that due to smaller coil X at point 'O' is $B_x$. ($d \gg r$) The relation between $B_x$ and $B_y$ is
A
$B_y = B_x$
B
$B_y = 2B_x$
C
$B_x = 2B_y$
D
$B_x = 4B_y$
2
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Two thin long parallel wires, $W_1$ and $W_2$ separated by distance '$a$', carry currents $i$ and $3i$ respectively in the same direction. The magnitude of the force per unit length exerted by wire $W_1$ on wire $W_2$ is
A
$\dfrac{\mu_0\, i^2}{2\pi\, a}$
B
$\dfrac{\mu_0\, i^2}{\pi\, a}$
C
$\dfrac{3\mu_0\, i^2}{2\pi\, a}$
D
$\dfrac{2\mu_0\, i^2}{3\pi\, a}$
3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A wire of length ' $L$ ' carries a current ' $I$ '. If the wire is turned into a square coil of single turn, the maximum magnitude of the torque in a given magnetic field $(\overrightarrow{\mathrm{B}})$ is

A

$\frac{\mathrm{IBL}}{16}$

B

$\frac{\mathrm{IBL}}{8}$

C

$\frac{\mathrm{IBL}^2}{8}$

D

$\frac{\mathrm{IBL}^2}{16}$

4
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A circular coil carrying current has radius ' $R$ '. The distance from the centre of the coil on the axis where the magnetic induction will be $\frac{1}{27}$ th of its value at the centre of the coil is

A

$3 \sqrt{2} \mathrm{R}$

B

$3 R$

C

$2 \sqrt{2} \mathrm{R}$

D

$2 R$

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