Question Detail

PHY 101 Physical Quantities And Units Objective Question

Question

The position of a mass at the end of a spring is found as a function of time to be A sin(ωt). Select the dimensions of A and ω.
Options
A L & T
B L & dimensionless
C sin(L) & T⁻¹
D L & T⁻¹
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

The argument of sine must be dimensionless. ωt is dimensionless, so ω has dimension T⁻¹. A is the amplitude of displacement, so it has dimension L.

Hint

The sine function's argument is dimensionless. Amplitude has the dimension of the oscillating quantity.

Question Info