MHT CET · Physics · Kinetic Theory of Gases
The average force applied on the wall of a closed container depends as \(\mathrm{T}^{\mathrm{X}}\) where T is the temperature of an ideal gas. The value of \(x\) is
- A 0.5
- B 1
- C 2
- D 1.5
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\(\begin{aligned}
& P=\frac{F}{A} \\
\therefore \quad & P \propto F...(i)
\end{aligned}\)
From ideal gas equation,
\(\mathrm{P}=\frac{\mathrm{nRT}}{\mathrm{~V}}\)
When V remains constant,
\(P \propto T...(ii)\)
From (i) and (ii)
\(\begin{aligned}
& F \propto \mathrm{~T}^{\mathrm{x}} \\
\therefore \quad & \mathrm{x}=1
\end{aligned}\)
& P=\frac{F}{A} \\
\therefore \quad & P \propto F...(i)
\end{aligned}\)
From ideal gas equation,
\(\mathrm{P}=\frac{\mathrm{nRT}}{\mathrm{~V}}\)
When V remains constant,
\(P \propto T...(ii)\)
From (i) and (ii)
\(\begin{aligned}
& F \propto \mathrm{~T}^{\mathrm{x}} \\
\therefore \quad & \mathrm{x}=1
\end{aligned}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The Brewster's angle for the glass-air interface is \((54 \cdot 74)^{\circ} .\) If a ray of light passing
from air to glass strikes at an angle of incidence \(45^{\circ}\), then the angle of refraction is
\(\left[\tan (54 \cdot 74)^{\circ}=\sqrt{2}, \quad \sin 45^{\circ}=\frac{1}{\sqrt{2}}\right]\)MHT CET 2020 Medium - A single slit diffraction pattern is formed with white light. For what wavelength of light, the \(3^{\text {rd }}\) secondary maximum in diffraction pattern coincides with the \(2^{\text {nd }}\) secondary maximum in the pattern of red light of wavelength \(6000 Å\) ?MHT CET 2021 Medium
- A charged spherical conductor of radius ' \(R\) ' is connected momentarily to another uncharged spherical conductor of radius ' \(r\) ' by means of a thin conducting wire, then the ratio of the surface charge density of the first to the second conductor isMHT CET 2023 Medium
- \(\mathrm{A}\) and \(\mathrm{B}\) are two interfering sources where \(\mathrm{A}\) is ahead in phase by \(54^{\circ}\) relative to \(B\). The observation is taken from point \(\mathrm{P}\) such that \(\mathrm{PB}-\mathrm{PA}=2.5 \lambda\). Then the phase difference between the waves from \(A\) and \(B\) reaching point \(\mathrm{P}\) is (in rad)MHT CET 2023 Hard
- In semiconductors at room temperature,MHT CET 2023 Easy
- A light bulb connected in series with a capacitor and an a.c. source is glowing with a certain brightness. On reducing the capacity of capacitance and frequency of source, the brightness of the lamp (respectively)MHT CET 2024 Easy
More PYQs from MHT CET
- The short repeating sequences of base pairs, which are used for DNA-profiling, are known as __________ .MHT CET 2023 Hard
- The differential equation whose solution is \(y=e^{a x}\) isMHT CET 2020 Easy
- A metal sphere of radius \(R\), density \(\rho_1\) moves with terminal velocity \(V_1\) through a liquid of density \(\sigma\). Another sphere of same radius but density \(\rho_2\) - moves through same liquid. Its terminal velocity is \(\mathrm{V}_2\). The ratio \(\mathrm{V}_1: \mathrm{V}_2\) isMHT CET 2024 Easy
- If then then at x =1 is ….MHT CET 2019 Easy
- Let \(\mathrm{f}:[-1,3] \rightarrow \mathbb{R}\) be defined as
\(|x|+[x], -1 \leqslant x \lt 1 \ x+|x|, 1 \leqslant x \lt 2 \ x+[x],\) \(2 \leqslant x \leqslant 3\)
where \([t]\) denotes the greatest integer function.
Then f is discontinuous atMHT CET 2024 Hard - The equation of a line, whose perpendicular distance from the origin is 7 units and the angle, which the perpendicular to the line from the origin makes, is \(120^{\circ}\) with positive \(\mathrm{X}\)-axis, isMHT CET 2023 Easy