The best formula to use for this question is
Power = (voltage)² / R
So Original power = (voltage)² / (original R)
and
New power = (same voltage)² / (2 x original R)
That's equal to (1/2) (voltage)² / (original R)
which is equal to (1/2) (original power) .
So I guess the power decreases by half, and that's choice-B .