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Force is given by the expression F = A c...

Force is given by the expression F = A cos (Bx) + C cos (Dt), where x is displacement and t is time. The dimension of `(D)/(B )` is same as that of

A

velocity `[L T^-1]`

B

angular velocity `[T^-1]`

C

angular momentum `[M L^2 T^-1]`

D

velocity gradient `[T^-1]`

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SL ARORA-Units and Measurements-Exercise
  1. Which of the following pairs does not have similar dimensions ?

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  2. If the energy, E = G^p h^q c^r, where G is the universal gravitational...

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  3. Force is given by the expression F = A cos (Bx) + C cos (Dt), where x ...

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  4. The pressure on a square plate is measured by measuring the force on t...

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  5. Suppose a quantilty x can be dimensionally represented in terms of M,L...

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  6. Write the dimensions of a//b in the relation F = a sqrtx + bt^2 where ...

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  7. The mass of a box measured by a grocer's balance is 2.300kg. Two gold ...

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  8. A physical quantity X is given by X=(2k^(3)l^(2))/(msqrt(n)) The p...

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  9. The percentage error in measuring M, L and T are 1%, 1.5 % and 3 % res...

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  10. The dimensions of impulse are equal to that of

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  11. The dimensions of Planck's constant are

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  12. The ratio of the dimensions of Planck's constant and that of moment of...

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  13. The dimensions of RC is equal to :

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  14. Which of the following dimensions will be the same as that of time?

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  15. The unit of permittivity of free space epsilon(0) is:

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  16. The dimensional formula for magnetic flux is

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  17. The dimensional formula for permeability of free space, mu(0) is

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  18. Which pair do not have equal dimensions?

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  19. Of the following quantities , which one has the dimensions different f...

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  20. If x=at+bt^(2), where x is the distance travelled by the body in kilom...

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