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Question: A bar magnet is oscillating in the earth's magnetic field with time period T. If its mass is increas...

A bar magnet is oscillating in the earth's magnetic field with time period T. If its mass is increased four times then its time period will be

A

4 T

B

2 T

C

T

D

T/2

Answer

2 T

Explanation

Solution

T=2πIMBHT = 2 \pi \sqrt { \frac { I } { M B _ { H } } } ; Where I=w(L2+b2)12I = \frac { \mathrm { w } \left( L ^ { 2 } + b ^ { 2 } \right) } { 12 }

(w =Mass of magnet)

Tw\Rightarrow T \propto \sqrt { \mathrm { w } } If TT \rightarrowTwo times