1
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The magnitude of the magnetic induction at a point on the axis at a large distance ( $r$ ) from the centre of a circular coil of ' $n$ ' turns and area ' $A$ ' carrying current ( $I$ ) is given by

A
$B_{\text {axis }}=\frac{\mu_0}{4 \pi} \cdot \frac{n A}{1 r^3}$
B
$B_{\text {axis }}=\frac{\mu_0}{4 \pi} \cdot \frac{2 n l A}{r^3}$
C
$B_{\text {axis }}=\frac{\mu_0}{4 \pi} \cdot \frac{2 n l}{A r^3}$
D
$B_{\text {axis }}=\frac{\mu_0}{4 \pi} \cdot \frac{n l A}{r^3}$
2
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A metal sphere of radius ' $R$ ' and density ' $\rho_1$ ' is dropped in a liquid of density ' $\sigma$ ' moves with terminal velocity ' $v$ '. Another metal sphere of same radius and density ' $\rho_2$ ' is dropped in the same liquid, its terminal velocity will be

A
$\left.v\left[\rho_2+\sigma\right) /\left(\rho_1+\sigma\right)\right]$
B
$\left.v\left[\rho_1+\sigma\right) /\left(\rho_2+\sigma\right)\right]$
C
$v\left[\rho_2-\sigma) /\left(\rho_1-\sigma\right)\right]$
D
$\left.v\left[\rho_1-\sigma\right) /\left(\rho_2-\sigma\right)\right]$
3
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\alpha$ is the coefficient of performance of a refrigerator and ' $Q$ ' is heat released to the hot reservoir, then the heat extracted from the cold reservoir ' $Q_2$ ' is

A
$\frac{\alpha Q_1}{\alpha-1}$
B
$\frac{\alpha-1}{\alpha} Q_1$
C
$\frac{\alpha Q_1}{1+\alpha}$
D
$\frac{1+\alpha}{\alpha} Q_1$
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The real force ' $F$ ' acting on a particle of mass $m$ ' performing circular motion acts along the radius of circle ' $r$ ' and is directed towards the centre of circle. The square root of magnitude of such force is ( $T=$ periodic time)

A
$\frac{2 \pi}{T} \sqrt{m r}$
B
$\frac{T m r}{4 \pi}$
C
$\frac{2 \pi T}{\sqrt{m r}}$
D
$\frac{T^2 m r}{4 \pi}$
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