Shortcut Methods
Typical Numericals on Equipartition of Energy Shortcut Methods and Tricks
JEE Main
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Numerical on Translational Kinetic Energy of Gas Molecules:
- Shortcut: The average translational kinetic energy of molecules is directly proportional to the temperature and independent of the molar mass of the gas. (Assuming ideal gas behavior)
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Numerical on Motion on a Horizontal Surface with Friction:
- Trick: Use the work-energy theorem to relate the initial kinetic energy of the object to the work done by friction.
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Numerical on Potential Energy in a Spring:
- Shortcut: The potential energy stored in a spring is equal to the work done in stretching the spring, which can be calculated using the formula:
$$PE = \frac{1}{2}kx^2$$ where (k) is the spring constant and (x) is the displacement.
CBSE Board Exams Similar shortcut methods and tricks can be applied for CBSE board exam numericals on equipartition of energy.