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Question: A magnet freely suspended in a vibration magnetometer makes 10 oscillations per minute at a place *A...

A magnet freely suspended in a vibration magnetometer makes 10 oscillations per minute at a place A and 40 oscillations per minute at a place B. If the horizontal component of earth's magnetic field at A is then its value at B is

A

36×10−6T36 \times 10 ^ { - 6 } T

B

72×10−6T72 \times 10 ^ { - 6 } T

C

144×10−6T144 \times 10 ^ { - 6 } T

D

288×10−6T288 \times 10 ^ { - 6 } T

Answer

144×10−6T144 \times 10 ^ { - 6 } T

Explanation

Solution

By using T=2πIMBH⇒T∝1BHT = 2 \pi \sqrt { \frac { I } { M B _ { H } } } \Rightarrow T \propto \frac { 1 } { \sqrt { B _ { H } } }