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If the units of length and force be incr...

If the units of length and force be increased three times, show that the unit pof energy is increased by 9 times.

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SL ARORA-PHYSICAL WORLD AND MEASUREMENTS-problem for self practice
  1. If the unit of force energy and velocity are 20 N, 200J and 5m//s, fin...

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

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

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

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

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  6. Use principle of homogenity of dimensions to find which one of the fo...

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  7. A student conclude that the velocity v of a body falling freely under ...

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

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  9. The dimensions of 'k' in the relation V = k avt (where V is the volume...

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  10. The cirtical velocity (upsilon) of flow of a liquied through a pipe of...

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  11. The rate of flow (V) of a liquid flowing through a pipe of radius r a...

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  12. Test if the following equations are dimensionally correct: (a) h=(2S...

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  13. The time period of a compound pendulum is given by T=2pisqrt((I)/(mg...

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  14. Find the dimensions of the quantity q from the expression T = 2pi sqr...

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  15. An artificial satellite of mass m is revolving in a circualr orbit aro...

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  16. Check by the method of dimensions, the formula v = (1)/(lambda)sqrt((...

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  17. Check the correctness of the equation : y = a "sin" (omega t + phi), w...

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  18. Find the dimension of (a/b) in the equation : v = a + bt , where v is...

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  19. Write the dimensions of a xx b in the relation E = ( b - x^(2))/( at),...

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  20. The dimension of (a)/(b) in the equation p=(a-t^(-2))/(bx) where P is ...

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