1
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
$$\frac{\mathrm{n}}{\mathrm{R}(\mathrm{n}-1)}$$
2
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
$$500 \Omega$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The gyromagnetic ratio of an electron in an hydrogen atom, according to Bohr model is

A
decreases with the quantum number 'n'.
B
independent of which orbit it is in.
C
negative
D
positive
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A body performs S.H.M. under the action of force '$$\mathrm{F}_1$$' with period '$$\mathrm{T}_1$$' second. If the force is changed to '$$\mathrm{F}_2$$' it performs S.H.M. with period '$$\mathrm{T_2}$$' second. If both forces '$$\mathrm{F_1}$$' and '$$\mathrm{F_2}$$' act simultaneously in the same direction on the body, the period in second will be

A
$$\frac{T_1+T_2}{T_1 T_2}$$
B
$$\frac{T_1^2+T_2^2}{T_1 T_2}$$
C
$$\frac{\mathrm{T}_1 \mathrm{~T}_2}{\sqrt{\mathrm{T}_1^2+\mathrm{T}_2^2}}$$
D
$$\frac{T_1 T_2}{T_1+T_2}$$
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