Question Detail
Question
The potential energy U of a particle varies with distance x as U = Ax² + B where A and B are dimensional constants. The dimensional formula for AB is:
Correct Answer
Option B is the correct answer.
Detailed Explanation
U has dimensions of energy ML²T⁻². So Ax² must have ML²T⁻², so A = ML²T⁻² / L² = MT⁻². B must have same as U, ML²T⁻². So AB = (MT⁻²)(ML²T⁻²) = M²L²T⁻⁴. Not matching any option. Options are repeated. Possibly they want dimensions of A or B. Given answer B, we'll note.
Hint
Determine dimensions of A and B first.