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By the use of dimensions, show that ener...

By the use of dimensions, show that energy per unit volume is equal to pressure.

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SL ARORA-PHYSICAL WORLD AND MEASUREMENTS-problem for self practice
  1. Deduce dimensional formulae for (i) angle (ii) angular velocity (iii)...

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  2. Obtain dimensions of (i) impulse (ii) power (iii) surface energy (iv) ...

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  3. By the use of dimensions, show that energy per unit volume is equal to...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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