When a bar magnet is bent at its midpoint by 90 degrees to form the English alphabet 'L', the magnetic dipole moment of the resulting configuration can be calculated as follows:
Let's assume that the original bar magnet has a magnetic dipole moment 'M' and the length of each arm of the 'L' shape is 'L'. When the magnet is bent at 90 degrees, the new magnetic dipole moment 'M_new' can be calculated as:
M_new = M × (length of one arm of the 'L').
The length of one arm of the 'L' is L/√2, because it forms a right-angled triangle with the original length 'L' as the hypotenuse and the shorter side being L/√2.
So,
M_new = M × (L/√2).
Now, we can simplify this expression:
M_new = M/√2.
So, the new magnetic dipole moment 'M_new' of the bent magnet is equal to 'M/√2'.
Therefore, the correct option is:
B. M/√2