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MHT CET 2024 (2 May, Shift 1) · Vibration Magnetometer

Vibration Magnetometer question from MHT CET 2024 (2 May, Shift 1)

Q7MHT CET 2024 · 2 MAY · SHIFT 1Medium

Vibration Magnetometer

At certain place a magnet makes 30 oscillations per minute. At another place if the magnetic induction is increased by two times the magnetic induction at first place, then the time period of same magnet will be

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Answer: (a)

30 oscillations per minute: $T_1 = \frac{60}{30} = 2$ s.
Field increased by two times the original: $B_2 = B + 2B = 3B$ .
$T \propto \frac{1}{\sqrt{B}} \Rightarrow T_2 = \frac{2}{\sqrt{3}}\ \text{s}$
So the answer is (a) $\frac{2}{\sqrt{3}}$ s.

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