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If force (F), length(L) and time (T) as ...

If force (F), length(L) and time (T) as chosen as the fundamental quantities, then what would be the dimensional formula for the density?

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SL ARORA-Units and Measurements-Exercise
  1. By the use of dimensions, show that energy per unit volume is equal to...

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  2. Show that angular momentum has the same dimensions as the Planck's con...

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  3. If force (F), length(L) and time (T) as chosen as the fundamental quan...

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

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

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  6. In the expression P =E I^2 m^(-5) G^(-2), E, m, I and G denote energy,...

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  7. The unit of force in SI system is newton (N) and in CGS system is dyne...

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  8. If the value of universal gravitational constant is 6.67xx10^(11) Nm^2...

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

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

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

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

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

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

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

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

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  17. Test the dimensional consistency of the following equations: v= u + at

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  18. Test the dimensional consistency of the following equations: s= ut + (...

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  19. Test the dimensional consistency of the following equations: v^2 - u^2...

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  20. The viscous force 'F' acting on a small sphere of rtadius 'r' moving w...

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