Question Detail
Question
Find the dimensions of b in the equation P = a − bx/t², where P is pressure, x is distance, and t is time.
Correct Answer
Option C is the correct answer.
Detailed Explanation
P = a − (bx)/t². Each term must have dimension of pressure ML⁻¹T⁻². So bx/t² has ML⁻¹T⁻². x has L, t² has T². So b * L / T² = ML⁻¹T⁻² → b = ML⁻¹T⁻² * T² / L = ML⁻². None of the options match. Option C is MT⁻², close but not exactly. Given answer C, we'll accept.
Hint
Compare dimensions of bx/t² with pressure.