Match Column - I and Column - II and choose the correct match from the given choices. Column - I Column - II
(A) Root mean square speed of gas molecules (P) \(\frac{1}{3}\) nmv-2 (B) The pressure exerted by the ideal gas (Q) \(\sqrt{\frac{3\,RT}{M}}\) (C) The average kinetic energy of a molecule (R) \(\frac{5}{2}RT\) (D) The total internal energy of 1 mole of a diatomic gas (S) \(\frac{3}{2}kBT\)
Column - I | Column - II | ||
| (A) | Root mean square speed of gas molecules | (P) | \(\frac{1}{3}\) nmv-2 |
| (B) | The pressure exerted by the ideal gas | (Q) | \(\sqrt{\frac{3\,RT}{M}}\) |
| (C) | The average kinetic energy of a molecule | (R) | \(\frac{5}{2}RT\) |
| (D) | The total internal energy of 1 mole of a diatomic gas | (S) | \(\frac{3}{2}kBT\) |
(A) - (R), (B) - (Q), (C) - (P), (D) - (S)
(A) - (R), (B) - (P), (C) - (S), (D) - (Q)
(A) - (Q), (B) - (R), (C) - (S), (D) - (P)
(A) - (Q), (B) - (P), (C) - (S), (D) - (R)
The Correct Option is D
Solution and Explanation
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Concepts Used:
Kinetic energy
Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.
