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Find the dimensions of the following qua...

Find the dimensions of the following quantities :
(i)velocity, (ii)acceleration, (iii)force, (iv)angle, (v)angular velocity, (vi)density , (vii)pressure, (viii)kinetic energy, (ix)couple, (x)constant of gravitation, (xi)coefficient of viscosity, and (xii)permeability of a medium.

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NN GHOSH-UNITS AND DIMENSION-EXERCISE
  1. Find the dimensions of the following quantities : (i)velocity, (ii)a...

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  2. Obtain the dimensions of the following physical quantities : (i)mome...

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  3. Acceleration due to gravity in the fps system is 32.2. What is its val...

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  4. The value of coefficient of viscosity in the cgs system is 12. What is...

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  5. Surface tension of water in the CGS units is 72 dyne/cm . What is its ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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