Force F is given in terms of time t and distance x by F = A…

Physics Units, Dimensions and Measurement General MCQ (Single Correct)

Force F is given in terms of time t and distance x by

F = A sin C t + B cos D x

Then the dimensions of and are given by

MLT –2 , M 0 L 0 T –1

MLT –2 , M 0 L –1 T 0

M 0 L 0 T 0 , M 0 L 1 T –1

M 0 L 1 T –1 , M 0 L 0 T 0

Text Solution

Verified by Experts

The correct answer is:

All the terms in the equation must have the dimension of force

∴ [A sin C t] = MLT –2

⇒ [A] [M 0 L 0 T 0 ] = MLT –2

⇒ [A] = MLT –2

Similarly, [B] = MLT –2 ∴ = M

0 L 0 T 0

Again [Ct] = M 0 L 0 T 0 ⇒ [C] = T –1

[Dx] = M 0 L 0 T 0 ⇒ [D] = L –1

⇒ = M 0 L 1 T –1 .

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