A bar magnet A of magnetic moment `M_(A)` is found to oscillate at a frequency twice that of magnet B of magnetic moment `M_(B)` when placed in a vibration magnetometer. `M_(A) and M_(B)` are related as

Options

A. `M_(A)=2M_(B)`
B. `M_(A)=8M_(B)`
C. `M_(A)=4M_(B)`
D. `M_(A)=(1)/(8)M_(B)`

Answer

C

Explanation

`(T_(A))/(T_(B))=sqrt((M_(B))/(M_(A)))rArr ("Freq. of B")/("Freq. of A")=(1)/(2), :. M_(A)=4M_(B)`