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The dimension of ((1)/(2))epsilon(0)E^(2...

The dimension of `((1)/(2))epsilon_(0)E^(2)` (`epsilon_(0)` : permittivity of free space, E electric field

A

`[MLT^(1)]`

B

`[ML^(2) T^(2)]`

C

`[ML^(-1) T^(-2)]`

D

`[ML^(2) T^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
C

(3) `(1)/(2) epsilon_(0) E^(2)` is `en ergy//volume`
`(ML^(2) T^(-2))/(L^(3)) = [ML^(-1) T^(-2)]`
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CP SINGH-UNITS, DIMENIONS AND MEASUREMENTS-Exercises
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  2. The dimensions of permittivity epsilon(0) are

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  3. The dimension of ((1)/(2))epsilon(0)E^(2) (epsilon(0) : permittivity o...

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  4. ML^(3) T^(-1) Q^(-2) is dimension of

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  5. The dimension of magnetic field in M,L,T and C (coulomb) is given as

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  6. Dimensional formula of magentic flux is

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  7. Dimensions of permeability are

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  8. Inductance L can be dimensional represented as

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  9. Which of the followin combinations have the dimensions of time? L, C, ...

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  10. The dimensions of mobility are

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  13. The measured mass and volume of a body are 22.42 g and 4. cm^(3), resp...

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  14. A wire has a mass 0.3+-0.003g, radius 0.5+-0.005mm and length 6+-0.06c...

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  15. An experiment measures quantites a, b, c and X is calculated from the ...

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  16. A student measures that distance traversed in free fall of a body, ini...

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  17. The heat generated in a circuit is given by Q = I^(2) Rt , where I is ...

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  18. The period of oscillation of a simple pendulum is given by T=2pisqrt((...

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  19. A student performs an experiment for determination of g [ = ( 4 pi^(2...

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