1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

An inductive coil has a resistance of $$100 ~\Omega$$. When an a.c. signal of frequency $$1000 \mathrm{~Hz}$$ is applied to the coil the voltage leads the current by $$45^{\circ}$$. The inductance of the coil is $$\left(\tan 45^{\circ}=1\right.$$)

A
$$\frac{0.25}{2 \pi} \mathrm{H}$$
B
$$\frac{0.05}{\pi} \mathrm{H}$$
C
$$\frac{0.25}{\pi} \mathrm{H}$$
D
$$\frac{0.5}{\pi} \mathrm{H}$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

In an ideal step down transformer, out of the following quantities, which quantity increases in the secondary coil?

A
Power
B
Voltage
C
Current
D
Frequency
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A series LCR circuit with resistance (R) $$500 ~\mathrm{ohm}$$ is connected to an a.c. source of $$250 \mathrm{~V}$$. When only the capacitance is removed, the current lags behind the voltage by $$60^{\circ}$$. When only the inductance is removed, the current leads the voltage by $$60^{\circ}$$. The impedance of the circuit is $$\left(\tan \frac{\pi}{3}=\sqrt{3}\right)$$

A
$$\frac{500}{\sqrt{3}} \Omega$$
B
$$500 \sqrt{3} \Omega$$
C
$$250 \Omega$$
D
$$500 \Omega$$
4
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

When a d.c. voltage of $$200 \mathrm{~V}$$ is applied to a coil of self-inductance $$\left(\frac{2 \sqrt{3}}{\pi}\right) \mathrm{H}$$, a current of $$1 \mathrm{~A}$$ flows through it. But by replacing d.c. source with a.c. source of $$200 \mathrm{~V}$$, the current in the coil is reduced to $$0.5 \mathrm{~A}$$. Then the frequency of a.c. supply is

A
100 Hz
B
60 Hz
C
75 Hz
D
50 Hz
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