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The velocity v of a particle at time t i...

The velocity v of a particle at time t is given by `v = a t + \frac { b } { t + c }` where a, b and c are constant. The dimensions of a, b and c respectively are

A

`[L^2, T and LT^2]`

B

`[LT^2, LT and L]`

C

`[L, LT and T^2]`

D

`[LT^-2, L and T]`

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The correct Answer is:
D
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PREMIERS PUBLISHERS-NATURE OF PHYSICAL WORLD AND MEASUREMENT-OTHER IMPORTANT QUESTIONS & ANSWERS (VI. Conceptual Questions.)
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  2. Explain the principle of homogeneity of dimensions. What are its uses?...

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  3. The velocity v of a particle at time t is given by v = a t + \frac { b...

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  4. The dimensions of Planck's constant are same as

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  5. The dimensional formula for energy is

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  6. The dimensional formula for velocity is

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  7. State any three physical quantities having same dimensions and their ...

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  8. The dimensional formula for acceleration is

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  9. How many light years are there in one meter?

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  10. The dimensional formula for force is

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  11. Is the measure of an angle dependent upon the unit of length?

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  12. What is the basis of the principle of homogeneity of dimensions?

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  13. Can a quantity have dimensions but still has no units?

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  14. Can a quantity have units but still be dimensionless?

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  15. Why have scientists and engineers all over the world agreed to use SI ...

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  16. While deriving the relationship between physical quantities by dimensi...

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  17. State any three physical quantities having same dimensions and their ...

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  18. What is the estimated radius of the universe?

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  19. How many light years are there in one meter?

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  20. The period of oscillation of a simple pendulum is given by T=2pi sqrt(...

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