The frequency of oscillation of a small magnet in a magnetic field of induction 'B' is ' n '. If the frequency of oscillations of the same magnet in a field of induction 'X' falls to ( n 3 ) , the value of 'X' is

Step-by-step solution

The frequency of oscillation of a magnet in a magnetic field is given by n = 1 2 MB I Since the same magnet is used, M and I are constant. Thus, n B , which implies B n^2 . Given n₁ = n at B₁ = B , and n₂ = n 3 at B₂ = X . B₁ B₂ = ( n₁ n₂ )^2 B X = ( n n/3 )^2 = 3^2 = 9 X = B 9 Answer: B 9