SATHEE: Physics And Measurement Question 158

Physics And Measurement Question 158

Question: In the relation $y = a \cos (ω t - k x)$ , the dimensional formula for k is?

[BHU 2004]

Options:

A) $[M^{0} L^{- 1} T^{- 1}]$

B) $[M^{0} L T^{- 1}]$

C) $[M^{0} L^{- 1} T^{0}]$

D) $[M^{0} L T]$

Show Answer

Answer:

Correct Answer: C

Solution:

$[K x]$ = Dimension of $ω t =$ (dimensionless) hence $K = \frac{1}{X} = \frac{1}{L} = [L^{- 1}]$ \ $[K] = [L^{- 1}]$

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