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Gaurav Seth 6 years ago
The centripetal force F acting on a particle moving uniformly in a circle may depend
upon mass (m), velocity (v), and radius (r) of the circle.
Derivation of the formula for 'F' using the method of dimensions is based on the principle of comparing the dimesions of the
Fundamental unit and the derived formula.
We assign a coffeicient of proportionality 'k' and compare the powers of the similar base (physical quantity)
After getting the values of the powers of the derived formula, we obtain the formula in terms of the mentioned physical quantitites.

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Gaurav Seth 6 years ago
As per first law of thermodynamics, conservation of energy is dq = du + pdV, where dq = thermal energy of gas du = change in internal energy of gas pdV = work done by gas in expanding due to change in volume dV If T = const., dT = 0 and d(pV) = 0 as pressure and If T = const., dT = 0 and d(pV) = 0 as pressure and volume are inversely proportional. Also, dq = pdV, which shows that there is no change in internal energy.Read more on Sarthaks.com - https://www.sarthaks.com/217713/an-ideal-gas-compressed-constant-temperature-will-its-internal-energy-increase-decrease
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Sid Siddharth 6 years ago
1Thank You