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

A metal wire of length $$2500 \mathrm{~m}$$ is kept in east-west direction, at a height of $$10 \mathrm{~m}$$ from the ground. If it falls freely on the ground then the current induced in the wire is (Resistance of wire $$=25 \sqrt{2} \Omega, \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$$ and Earth's horizontal component of magnetic field $$\left.\mathrm{B}_{\mathrm{H}}=2 \times 10^{-5} \mathrm{~T}\right)$$

A
0.2 A
B
0.02 A
C
0.01 A
D
2 A
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A body is projected from earth's surface with thrice the escape velocity from the surface of the earth. What will be its velocity when it will escape the gravitational pull?

A
$$2 \mathrm{~V}_{\mathrm{e}}$$
B
$$4 \mathrm{~V}_{\mathrm{e}}$$
C
$$2 \sqrt{2} \mathrm{~V}_{\mathrm{e}}$$
D
$$\frac{\mathrm{V}_{\mathrm{e}}}{2}$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The depth at which acceleration due to gravity becomes $$\frac{\mathrm{g}}{\mathrm{n}}$$ is [ $$\mathrm{R}$$ = radius of earth, $$\mathrm{g}=$$ acceleration due to gravity, $$\mathrm{n}=$$ integer $$]$$

A
$$\frac{\mathrm{R}(\mathrm{n}-1)}{\mathrm{n}}$$
B
$$\frac{(\mathrm{n}-1)}{\mathrm{nR}}$$
C
$$\frac{\mathrm{Rn}}{(\mathrm{n}-1)}$$
D
$$\frac{\mathrm{n}}{\mathrm{R}(\mathrm{n}-1)}$$
4
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
$$500 \Omega$$
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