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Calculate the dimensions of linear momen...

Calculate the dimensions of linear momentum and surface tension in terms of velocity `(upsilon),` density `(rho)` and frequency (V) as fundamental units.

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The correct Answer is:
`pv^(4)v^(-3),pv^(3)v^(-1)`
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SL ARORA-PHYSICAL WORLD AND MEASUREMENTS-problem for self practice
  1. If force (F), length(L) and time (T) as chosen as the fundamental quan...

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  2. Calculate the dimensions of ther force and impulse taking velocity, de...

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  3. Calculate the dimensions of linear momentum and surface tension in ter...

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  4. If E , M , J , and G , respectively , denote energy , mass , angular m...

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  5. If 'slap' times speed equals power, what is the dimensional formula fo...

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  6. By the method of dimensions, show that 1 N=10^(5) dynes .

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  7. The value of acceleration due to gravity at a place is 9.8ms^(-2). Fin...

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  8. Suppose the acceleration due to gravity at a place is 10 m/s^2. Find i...

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  9. A body has a uniform acceleration of 5 kmh^(-2). Express it in CGS u...

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  10. The density of mercury is 13.6 g cm^(-3) in CGS system. Find its value...

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  11. The surface tension of water is 72 dyne/cm. Express is in SI units.

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  12. An electriv bulb has a power of 500 W. Express it in CGS units.

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  13. If the value of atmospheric pressure is 10^(6) dyne cm^(-2), find its ...

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  14. The value of Stefan's constant is sigma =5.76xx 10^(-8) J s^(-1) m^(-2...

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  15. Find the value of 100 J on a system which has 20 cm, 250g and half min...

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  16. If the unit of force energy and velocity are 20 N, 200J and 5m//s, fin...

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  17. When 1m, 1kg and 1min. Are taken as the fundamental units, the magnitu...

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

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  19. If velocity of light is taken as the unit of velocity and an year is t...

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  20. Test the dimensional consistency of the following equations : (i)v=u...

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