1
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

An inductance coil has a resistance of $80 \Omega$. When on AC signal of frequency 480 Hz is applied to the coil, the voltage leads the current by $45^{\circ}$. The inductance of the coil in henry is $\left[\sin 45^{\circ}=\cos 45^{\circ}=1 / \sqrt{2}\right]$

A
$\frac{1}{24 \pi}$
B
$\frac{\pi}{20}$
C
$\frac{\pi}{40}$
D
$\frac{1}{12 \pi}$
2
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The displacement of a wave is given by $y=0.002 \sin (100 t+x)$ where ' $x$ 'and ' $y$ ' are in metre and ' $t$ ' is in second. This represents a wave

A
of wavelength one metre
B
travelling with a velocity of $100 \mathrm{~m} / \mathrm{s}$ in the negative $x$-direction
C
of frequency $\left(\frac{100}{\pi}\right) \mathrm{Hz}$
D
travelling with a velocity of $\left(\frac{50}{\pi}\right) \mathrm{m} / \mathrm{s}$ in the positive x -direction
3
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A current of 5 A flows through a toroid having a core of mean radius 20 cm . If 4000 turns of the conducting wire are wound on the core, then the magnetic field inside the core of the toroid is [permeability of free space $=4 \pi \times 10^{-7}$ SI units]

A
$8 \times 10^{-2} \mathrm{~Wb} / \mathrm{m}^2$
B
$6 \times 10^{-2} \mathrm{~Wb} / \mathrm{m}^2$
C
$5 \times 10^{-2} \mathrm{~Wb} / \mathrm{m}^2$
D
$2 \times 10^{-2} \mathrm{~Wb} / \mathrm{m}^2$
4
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A metal ball of radius $9 \times 10^{-4} \mathrm{~m}$ and density $10^4 \mathrm{~kg} / \mathrm{m}^3$ falls freely under gravity through a distance ' h ' and enters a tank of water. Considering that the metal ball has constant velocity, the value of $h$ is [coefficient of viscosity of water $=8.1 \times 10^{-4} \mathrm{pa}-\mathrm{s}, \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ density of water $\left.=10^3 \mathrm{~kg} / \mathrm{m}^3\right]$

A
20 m
B
18 m
C
15 m
D
12 m
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