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Obtain the formula t=ksqrt(l/g) by the m...

Obtain the formula `t=ksqrt(l/g)` by the method of dimensions.

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The velocity of a freely falling body is a function of the distance fallen through (h) and acceleration due to gravity g . Show by the method of dimensions that v = Ksqrt(gh) .

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The time period 'T' of a body executing SHM may be supposed to depend upon (i) the amplitude 'A' , (ii) the force constant 'k' and (iii) the mass 'm' . Deduce by the method of dimensions the formula for T.

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NN GHOSH-UNITS AND DIMENSION-EXERCISE
  1. Surface tension of water in the CGS units is 72 dyne/cm . What is its ...

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  2. The value of acceleration due to gravity is 980 cm//sec^2.What will be...

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  3. Obtain the formula t=ksqrt(l/g) by the method of dimensions.

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  4. Assuming that the largest mass that can be moved by a flowing river de...

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  5. The velocity of sound in a gas depends on its pressure and density . O...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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