1
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If current of 4 A produces magnetic flux of $3 \times 10^{-3} \mathrm{~Wb}$ through a coil of 400 turns, the energy stored in the coil will be

A
1.2 J
B
2.4 J
C
24 J
D
240 J
2
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two bodies A and B have their moments of inertia $I_1$ and $I_2$ respectively about their axis of rotation. If their kinetic energies of rotation are equal and their angular momenta $\mathrm{L}_1$ and $\mathrm{L}_2$ respectively are in the ratio $1: \sqrt{3}$, then $I_2$ will be

A
$\frac{1}{3} \mathrm{I}_1$
B
$\sqrt{3} I_1$
C
$2 \mathrm{I}_1$
D
$\mathrm{3 I_1}$
3
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A body starts from rest from a distance $\mathrm{R}_0$ from the centre of the earth. The velocity acquired by the body when it reaches the surface of the earth will be ( $R=$ radius of earth, $M=$ mass of earth)

A
$2 \mathrm{GM}\left(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{R}_0}\right)$
B
$\sqrt{2 \mathrm{GM}\left(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{R}_0}\right)}$
C
$\mathrm{GM}\left(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{R}_0}\right)$
D
$2 \mathrm{GM} \sqrt{\left(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{R}_0}\right)}$
4
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two metal spheres are falling through a liquid of density $2.5 \times 10^3 \mathrm{~kg} / \mathrm{m}^3$ with the same uniform speed. The density of material of first sphere and second sphere is $11.5 \times 10^3 \mathrm{~kg} / \mathrm{m}^3$ and $8.5 \times 10^3 \mathrm{~kg} / \mathrm{m}^3$ respectively. The ratio of the radius of first sphere to that of second sphere is

A
$\frac{2}{3}$
B
$\sqrt{\frac{2}{3}}$
C
$\frac{3}{2}$
D
$\sqrt{\frac{3}{2}}$
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