NEET2016Physics-Kinetic Theory of Gases

NEET 2016 Physics RMS Velocity MCQ Question

Type: MCQ-numerical-Hard-Class 11

The molecules of a given mass of a gas have r.m.s velocity of 200 m s⁻¹ at 27°C and 1.0 × 10⁵ Nm⁻² pressure. When the temperature and pressure of the gas are respectively, 127°C and 0.05 × 10⁵ Nm⁻², the r.m.s. velocity of its molecules in m s⁻¹ is

A

100√2/3

B

100/3

C

100√2

D

400/√3

Correct Answer

Option D

Detailed Explanation

The r.m.s velocity is proportional to the square root of temperature and inversely proportional to the square root of pressure. Using the formula v_rms = √(3kT/m), the new velocity is calculated.

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