Magnetic dipole X is fixed and magnetic dipole Y is free to move. Dipole Y will initially: A. Move toward X but not rotate
B. Move away from X but not rotate
C. Move toward X and rotate Move away from X and rotate
D. Rotate but not translate

The correct option is A.

Move toward X but not rotate

Explanation:

This is because from the question, X is fixed and y is free to move. Since magnetic dipole of X is fixed, that is it can't move and that of y is free to move, therefore y will move toward x because it's forces of attraction is linear and not rotational and besides X and Y are on a linear path, therefore Y will move towards X that is fixed and it will not rotate since it's linear.

diagram is missing, but i will try to explain your doubt.

answer:

amplitude is the maximum displacement or distance moved on a point of a vibrating body or wave measured from its equilibrium position.it is equal to half the length of vibration path.

the answer would be c. motion and direction

i hope this : )