Verified Solution • 2025–26 Session moderate

QNEET-2016-Ph-1090: NEET 2016 Physics - Class 11 NEET-2016-Ph-1090 Solution: The molecules of a given mass of a gas have r.m.s. velocity of…

The molecules of a given mass of a gas have r.m.s. velocity of

2000\ \text{m s}^{-1}

27^\circ C

and

1.0 \times 10^5\ \text{N m}^{-2}

pressure. When the temperature and pressure of the gas are respectively

127^\circ C

and

0.05 \times 10^5\ \text{N m}^{-2}

the r.m.s. velocity of its molecules in

\text{m s}^{-1}

100\sqrt{2}

\frac{100\sqrt{2}}{3}

\frac{400}{\sqrt{3}}

\frac{100}{3}

Multiple Choice Options

A ${{100\sqrt 2 } \over 3}$ 3 100 2 _ _
B ${{100} \over 3}$ 3 100 _
C $100\sqrt 2$ 100 2 _
D ${{400} \over {\sqrt 3 }}$ 3 _ 400 _

Step-by-Step Verified Solution

It is observed that the rms velocity of molecule is directly proportional to temperature, so v r m s _ T _ v r m s _ = v r m s T _ T Hence, v r m s _ = 200 _ 400 300 = 400 / 3

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