A uniform constant magnetic field `B` is directed at an angle of `45^()` to the `x axis` in the ...

Question From – Cengage BM Sharma MAGNETISM AND ELECTROMAGNETIC INDUCTION MAGNETIC FIELD AND MAGNETIC FORCES JEE Main, JEE Advanced, NEET, KVPY, AIIMS, CBSE, RBSE, UP, MP, BIHAR BOARD

QUESTION TEXT:-
A uniform constant magnetic field `B` is directed at an angle of `45^()` to the `x axis` in the ` xy`- plane . ` PQRS` is a rigid, square wire frame carrying a steady current `I_(0)`, with its centre at the origin `O`. At time ` t = 0`, the frame is at rest in the position as shown in figure , with its sides parallel to the ` x and y` axis. Each side of the frame is of mass `M` and length `L`. (a) What is the torque `tau` about `O` acting on the frame due to the magnetic field? (b) Find the angle by which the frame rotates under the action of this torque in a short interval of time `Deltat`, and the axis about this rotation occurs .`( Deltat is so short that any variation in the torque during this interval may be neglected .) Given : the moment of interia of the frame about an axis through its centre perpendicular to its about an axis through its centre perpendicular to its plane is `(4)/(3) ML^(2)`.
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