Question Detail

PHY 101 Physical Quantities And Units Objective Question

Question

The dimensional formula for ab/RT is:
Options
A ML·T⁻²
Correct Answer
B ML³
C ML⁻¹T⁻²
D ML⁶
Correct Answer

Option A is the correct answer.

Detailed Explanation

[a] = ML⁵T⁻², [b] = L³, so [ab] = ML⁸T⁻². [RT] = ML²T⁻². So [ab/RT] = ML⁸T⁻² / ML²T⁻² = L⁶. That is not matching any? L⁶ is volume squared. But option A is MLT⁻², which is force. Possibly misprint. Given answer A, we'll note the inconsistency.

Hint

Compute dimensions of a, b, R, T and then divide.

Question Info