If the rms velocity of a gas is v- then A- v 2 T - constantB- v 2 - T - constantC- vT 2- constantD- v is independent of T

The correct option is B v^2/T= constant nbsp;rms velocity is given by: v=√(3kTm) or v^2=3kTm For a gas, k and m are constants ∴v^2T= constant Hence, the corr ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

RMS and KE Expressions

If the rms ve...

Question

If the rms velocity of a gas is $v$ , then

v^{2} T = constant

No worries! We‘ve got your back. Try BYJU‘S free classes today!

v^{2} / T = constant

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

v T^{2} = constant

No worries! We‘ve got your back. Try BYJU‘S free classes today!

v

is independent of

T

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $v^{2} / T = constant$
rms velocity is given by:
$v = \sqrt{\frac{3 k T}{m}}$ or $v^{2} = \frac{3 k T}{m}$
For a gas, $k$ and $m$ are constants
$∴ \frac{v^{2}}{T} = constant$
Hence, the correct answer is option (b).

Suggest Corrections

Similar questions

Q. The potential field of an electric field

\to E = (y^i + x^j)

Q. If the rms velocity of a gas is

v

, then

Q. If the rms velocity of a gas is

v

, then

Match List I with List II

List-I List-II

a) Dalton's Law e) PV= constant (T = constant)

b) Charle's Law-I f) P/T = constant (V = constant)

c) Charle's Law-II g) V/T= constant (P = constant)

d) Boyle's Law h) P = $P_{1} + P_{2} + . . . . . . P_{\infty}$

Q. A van der Waal's gas obeys the equation of state

(P + \frac{n^{2} a}{V^{2}}) (V - n b) = n R T

. Its internal energy varies as

U = C T - \frac{n^{2} a}{V}

. The equation of a quasistatic adiabat for this gas is given by-

Join BYJU'S Learning Program

If the rms velocity of a gas is v, then

The correct option is B v2/T= constant rms velocity is given by: v=√3kTm or v2=3kTm For a gas, k and m are constants ∴v2T= constant Hence, the correct answer is option (b).

If the rms velocity of a gas is $v$ , then

The correct option is B $v^{2} / T = constant$
rms velocity is given by:
$v = \sqrt{\frac{3 k T}{m}}$ or $v^{2} = \frac{3 k T}{m}$
For a gas, $k$ and $m$ are constants
$∴ \frac{v^{2}}{T} = constant$
Hence, the correct answer is option (b).