JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
An ideal gas is enclosed in a cylinder at pressure of \(2\,atm\) and temperature, \(300\,K.\) The mean time between two successive collisions is \(6 \times 10^{-8}\, s.\) If the pressure is doubled and temperature is increased to \(500\,K,\) the mean time between two successive collisions will be close to
- A \(2\times 10^{-7}\,s\)
- B \(4\times 10^{-8}\,s\)
- C \(0.5\times 10^{-8}\,s\)
- D \(3\times 10^{-6}\,s\)
Answer & Solution
Correct Answer
(B) \(4\times 10^{-8}\,s\)
Step-by-step Solution
Detailed explanation
\({\text { The mean time between two collision } \propto \frac{P}{\sqrt{T}}} \) \({\qquad \frac{\Delta t_{1}}{\Delta t_{2}}=\frac{P_{1}}{P_{2}} \times \frac{\sqrt{T_{2}}}{\sqrt{T_{1}}}} \)…
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
- In thermodynamics, heat and work areJEE Mains 2021 Medium
- Match the List-I with List-II
List - I List - II (A) Triatomic rigid gas (I) \(\frac{C_P}{C_V} = \frac{5}{3}\) (B) Diatomic non-rigid gas (II) \(\frac{C_P}{C_V} = \frac{7}{5}\) (C) Monoatomic gas (III) \(\frac{C_P}{C_V} = \frac{4}{3}\) (D) Diatomic rigid ga (IV) \(\frac{C_P}{C_V} = \frac{9}{7}\)
Choose the correct answer from the options given below :JEE Mains 2025 Medium - A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is \(6.4\) m. The speed of the bullets from the gun is ______ m/s.
(take \(g=10\) m/s\(^2\))JEE Mains 2026 Easy - A particle \(A\) of mass \(‘m’\) and charge \(‘q’\) is accelerated by a potential difference of \(50\, V\). Another particle \(B\) of mass \(‘4\, m’\) and charge \(‘q’\) is accelerated by a potential difference of \(2500\, V\). The ratio of de-Broglie wavelength \(\frac{{{\lambda _A}}}{{{\lambda _B}}}\) is close toJEE Mains 2019 Medium
- A Young's doublc\(-\)slit experiment is performed using monochromatic light of wavelength \(\lambda\). The intensity of light at a point on the screen, where the path difference is \(\lambda,\) is \(K\) units. The intensity of light at a point where the path difference is A \(\frac{\lambda}{6}\) is given by \(\frac{n K}{12},\) where \(n\) is an integer. The value of \(n\) is\(......\)JEE Mains 2020 Medium
- In a Young’s double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is \(1/8^{th}\) of wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe is close toJEE Mains 2019 Medium
More PYQs from JEE Mains
- In a metallic conductor, under the effect of applied electric field, the free electrons of the conductorJEE Mains 2023 Medium
- The radius of gyration of a uniform rod of length \(l,\) about an axis passing through a point \(\frac{l}{4}\) away from the centre of the rod, and perpendicular to it, isJEE Mains 2020 Medium
-
Choose the correct answer from the options given below:List - I List - II (A) Heat capacity of body \(\text{(I) } \mathrm{J} \mathrm{kg}^{-1}\) (B) Specific heat capacity of body \(\text{(II) } \mathrm{JK}^{-1}\) (C) Latent heat \(\text{(III) } \mathrm{J} \mathrm{kg}^{-1} \mathrm{~K}^{-1}\) (D) Thermal conductivity \(\text{(IV) } \mathrm{Jm}^{-1} \mathrm{~K}^{-1} \mathrm{~s}^{-1}\) JEE Mains 2025 Hard - Given below are two statements : one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A :\) For a simple microscope, the angular size of the object equals the angular size of the image. Reason \(R\) : Magnification is achieved as the small object can be kept much closer to the eye than \(25\, cm\) and hence it subtends a large angle. In the light of the above statements, choose the most appropriate answer from the options given below:JEE Mains 2021 Hard
- A particle of mass \(m\) moves in a circular orbit in a central potential field \(U\left( r \right) = \frac{1}{2}k{r^2}\). If Bohr’s quantization conditions are applied, radii of possible orbits and energy levels vary with quantum number \(n\) asJEE Mains 2019 Hard
- A bob of mass \(m\) is suspended at a point \(O\) by a light string of length \(l\) and left to perform vertical motion (circular) as shown in figure. Initially, by applying horizontal velocity \(v_0\) at the point ' A ', the string becomes slack when, the bob reaches at the point ' D '. The ratio of the kinetic energy of the bob at the points \(B\) and \(C\) is ______ -.
JEE Mains 2025 Medium