The period of oscillation of a magnet in a vibration magnetometer is 2 sec. The period of oscillation of a magnet whose magnetic moment is four times that of the first magnet is

Question

The period of oscillation of a magnet in a vibration magnetometer is 2 sec. The period of oscillation of a magnet whose magnetic moment is four times that of the first magnet is (A) 1 sec (B) 5 sec (C) 8 sec (D) 0.5 sec

Tardigrade Admin · Accepted Answer

T =2 π √((I/M BH)) T'=2 π √((I/4 M BH)) =(1/2)[2 π √(I/(M BH))] =(1/2) × 2=1 second

Q. The period of oscillation of a magnet in a vibration magnetometer is $2 sec$ . The period of oscillation of a magnet whose magnetic moment is four times that of the first magnet is

$1 sec$

$5 sec$

$8 sec$

$0.5 sec$

$T = 2 π (\frac{I}{M B _{H}})$
$T^{'} = 2 π (\frac{I}{4 M B _{H}})$
$= \frac{1}{2} [2 π \frac{I}{( M B _{H} )}]$
$= \frac{1}{2} \times 2 = 1$ second

Q. The period of oscillation of a magnet in a vibration magnetometer is 2sec. The period of oscillation of a magnet whose magnetic moment is four times that of the first magnet is

1sec

5sec

8sec

0.5sec