Question:
A fixed mass of gas at constant pressure occupies a volume ' \(V\) '. The gas undergoes a rise in temperature so that the r.m.s. velocity of the molecule is doubled. The new volume will be
A fixed mass of gas at constant pressure occupies a volume ' \(V\) '. The gas undergoes a rise in temperature so that the r.m.s. velocity of the molecule is doubled. The new volume will be
Show Hint
Key relation:
$v_{rms} \propto \sqrt{T}$
Updated On: May 8, 2026
- \(\frac{V}{2}\)
- \(\frac{V}{\sqrt{2}}\)
- \(2 V\)
- \(4 V\)
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept: \[ v_{rms} \propto \sqrt{T} \]
Step 1: Given doubling of velocity. \[ 2 = \sqrt{\frac{T_2}{T_1}} \Rightarrow T_2 = 4T_1 \]
Step 2: At constant pressure. \[ V \propto T \] \[ V_2 = 4V \] Final Answer: Option (D)
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET kinetic theory Questions
- $ KE $ per unit volume is $ E $ . The pressure exerted by the gas is given by
- The gases carbon-monoxide $ (CO) $ and nitrogen at the same temperature have kinetic energies $ E_1 $ and $ E_2 $ respectively. Then
- If $'C_p'$ and $'C_v'$ are molar specific heats of an ideal gas at constant pressure and volume respectively. If $'\lambda'$ is the ratio of two specific heats and $'R'$ is universal gas constant then $'C_p'$ is equal to
- At constant pressure, which of the following is true ?
- Assuming the expression for the pressure exerted by the gas on the walls of the container, it can be shown that pressure is
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions