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The equation of a wave is given by Y=A s...

The equation of a wave is given by Y=A `sin omega ((x)/(v)-k)` where `omega` is the angular velocity and v is the linear velocity. The dimension of k is

A

`[LT]`

B

`[T]`

C

`[T^(-1)]`

D

`[T^(2)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Dimensionally `k= (x)/(v) = ([L])/([LT^(-1)]) = [T^(1)]`
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ALLEN -PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT -EXERCISE-I DIMENSIONS
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  2. Which of the following does not have the dimensions of force?

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  3. Which of the following is incorrect statement

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  4. A dimensionless quantity

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  5. Which one of the following is unitless quantity ?

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  6. Which of the following is incorrect ?

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  7. Two physical quantities of which one is a vector and the other is a sc...

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  8. The equation of a wave is given by Y=A sin omega ((x)/(v)-k) where ome...

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  9. The time dependence of a physical quantity P is given by P=P(0) exp (-...

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  10. The dimensional formula of angular velocity is

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  11. The equation of state of a real gas is given by (P+a/V^(2)) (V-b)=RT ...

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  12. A force F is given by F=at+bt^(2), where t is time. The dimension of a...

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  13. If the enrgy E=G^(p) h^(q) C^(r) where G is the universal gravitationa...

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  14. Match list I with II and select the correct answer :

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  15. Which of the following paris does not have similar dimensions ?

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  16. The dimension of torque are

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  17. Using mass (M), length (L) time (T) and current (A) as fundamental qua...

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  18. Dimensions of relative density is

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  19. The dimensions of universal gravitational constant are :-

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  20. If dimensions of A and B are different, then which of the following op...

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