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Obtain the dimensions of the following p...

Obtain the dimensions of the following physical quantities :
(i)momentum, (ii)moment, (iii)impulse, (iv)power, (v)power, (vi)frequency, (vi)angular acceleration, (vii)velocity gradient, (viii)surface tension, (ix)moment of inertia, (x)`epsilon` , permittivity of a medium , (xi)thermal conductivity, (xii)stress , (xiii)strain, (xiv)Young's modulus.

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The correct Answer is:
(i)`MLT^(-1)` , (ii)`ML^(2)T^(-2)` , (iii)`MLT^(-1)` , (iv)`ML^(2)T^(-3)`
(v)`T^(-1)` , (vi)`T^(-2)` ,(vii)`T^(-1)` , (viii)`ML^(0)T^(-2)` , (ix)`ML^2`
(x)`M^(-1)L^(-3)T^4 I^2` , (xi)`MLT^(-3)K^(-1)` , (xii)`ML^(-1)T^(-2)`
(xiii)No dimension , (xiv)`ML^(-1)T^(-2)`
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NN GHOSH-UNITS AND DIMENSION-EXERCISE
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  2. Acceleration due to gravity in the fps system is 32.2. What is its val...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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