1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A horizontal wire of mass '$$m$$', length '$$l$$' and resistance '$$R$$' is sliding on the vertical rails on which uniform magnetic field '$$B$$' is directed perpendicular. The terminal speed of the wire as it falls under the force of gravity is ( $$\mathrm{g}=$$ acceleration due to gravity)

A
$$\frac{\mathrm{mg} l}{\mathrm{BR}}$$
B
$$\frac{\mathrm{B}^2 l^2}{\mathrm{mgR}}$$
C
$$\frac{\mathrm{mgR}}{\mathrm{Bl}}$$
D
$$\frac{\mathrm{mgR}}{\mathrm{B}^2 l^2}$$
2
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg's constant (R) and velocity of light (c) is

A
$$4 \mathrm{Rc}$$
B
$$\frac{4}{\mathrm{Rc}}$$
C
$$\mathrm{Rc}$$
D
$$\frac{\mathrm{Rc}}{4}$$
3
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A string is stretched between two rigid supports separated by $$75 \mathrm{~cm}$$. There are no resonant frequencies between $$420 \mathrm{~Hz}$$ and $$315 \mathrm{~Hz}$$. The lowest resonant frequency for the string is

A
$$210 \mathrm{~Hz}$$
B
$$180 \mathrm{~Hz}$$
C
$$105 \mathrm{~Hz}$$
D
$$1050 \mathrm{~Hz}$$
4
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A straight wire carrying a current (I) is turned into a circular loop. If the magnitude of the magnetic moment associated with it is '$$M$$', then the length of the wire will be

A
$$\frac{\mathrm{M} \pi}{4 \mathrm{I}}$$
B
$$\left[\frac{4 \pi I}{M}\right]^{\frac{1}{2}}$$
C
$$\left[\frac{4 \mathrm{M} \pi}{\mathrm{I}}\right]^{\frac{1}{2}}$$
D
$$4 \pi \mathrm{MI}$$
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