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If the units of length and force be incr...

If the units of length and force be increased three times, show that the unit of energy is increased nine times.

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NN GHOSH-UNITS AND DIMENSION-EXERCISE
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  2. The velocity of sound in a gas depends on its pressure and density . O...

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  3. The viscous force on a spherical body, when it moves through a viscous...

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  4. The rate of volume flow of water through a canal is found to be a func...

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  5. Show that the following are the dimensions of energy. (i)mc^2 where ...

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  6. Show that RC, where R is the resistance and C is the capacitance, is o...

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  7. Using force (F), length (L) and time (T) as base quantities , find the...

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  8. If the units of length and force be increased three times, show that t...

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  9. A gas bubble, from an explosion under water, oscillates with a period ...

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  10. If the time period (T)of vibration of a liquid drop depends on surface...

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  11. In the formula X = 3YZ^(2),X and Z have dimensions of capacitance and ...

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  12. If the velocity of light c, the gravitational constant G and Planck co...

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  13. The viscosity eta of a gas is determined by its density rho, molecular...

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  14. Assuming that the vibration frequency of atoms in a crystal depends on...

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  15. If the resistance experienced by a spherical body moving through a liq...

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  16. The critical angular velocity omegac of a cylinder inside another cyli...

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  17. Find the physical quantity whose value depends on the velocity of ligh...

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  18. The force of attraction between two points 1 kg masses Im apart propos...

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  19. Find dimensionally the relation between reverberation period t of a ro...

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  20. The resistance R to the motion of a ship depends on the velocity v of ...

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