NEETPhysicsMagnetic Properties of Matter
A student performs an experiment to determine the magnetic moment of a bar magnet of moment of inertia I . She suspends the magnet in a uniform magnetic field B and measures its time period of oscillation T . She then plots a graph with the square of the time period ( T^2 ) on the y-axis and the reciprocal of the magnetic field ( 1/B ) on the x-axis. The resulting graph is a straight line passing through the origin w
Options
- A4 ^2 I S
- B4 ^2 S I
- C2 I S
- D4 ^2 I S
Correct answer
A. 4 ^2 I S
Step-by-step solution
The time period of a magnetic dipole oscillating in a uniform magnetic field is given by: T = 2 I MB Squaring both sides, we get: T^2 = 4 ^2 I M ( 1 B ) Comparing this with the equation of a straight line passing through the origin, y = Sx , where y = T^2 and x = 1 B , the slope S is: S = 4 ^2 I M Rearranging the expression to solve for the magnetic moment M : M = 4 ^2 I S Answer: 4 ^2 I S