JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
A gas molecule of mass \(M\) at the surface of the Earth has kinetic energy equivalent to \(0\,^oC\). If it were to go up straight without colliding with any other molecules, how high it would rise? Assume that the height attained is much less than radius of the earth. (\(k_B\) is Boltzmann constant)
- A \(0\)
- B \(\frac{{273{k_B}}}{{2Mg}}\)
- C \(\frac{{546{k_B}}}{{3Mg}}\)
- D \(\frac{{819{k_B}}}{{2Mg}}\)
Answer & Solution
Correct Answer
(D) \(\frac{{819{k_B}}}{{2Mg}}\)
Step-by-step Solution
Detailed explanation
Kinetic energy of each molecule, \(\mathrm{K} \mathrm{E}=\frac{3}{2} \mathrm{K}_{\mathrm{B}} \mathrm{T}\) In the given problem, Temperature, \(\mathrm{T}=0^{\circ} \mathrm{C}=273 \mathrm{K}\) Height attained by the gas molecule, \(h=?\)…
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
- A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x -direction in 0.3 sec. The crest \(P\) is at \(x=0\) at \(t=0 \mathrm{sec}\) and maximum displacement of the wave is 2 cm. Which equation correctly represents this wave ?JEE Mains 2025 Easy
- The de-Broglie wavelength of an electron is the same as that of a photon. If velocity of electron is \(25 \%\) of the velocity of light, then the ratio of \(K.E.\) of electron and \(K.E.\) of photon will be:JEE Mains 2024 Hard
- Two plane mirrors are inclined to each other such that a ray of light incident to the first mirror \((M_1)\) and parallel to the second mirror \((M_2)\) is finally reflected from the second mirror \((M_2)\) parallel to the first mirror \((M_1).\) The angle between the two mirrors will be......\(^o\)JEE Mains 2019 Medium
- Two small spheres each of mass \(10 \,mg\) are suspended from a point by threads \(0.5 \,m\) long. They are equally charged and repel each other to a distance of \(0.20 \,m\). The charge on each of the sphere is \(\frac{ a }{21} \times 10^{-8} \, C\). The value of \(a\) will be ...... . \(\left[\right.\) Given \(\left.g=10 \,ms ^{-2}\right]\)JEE Mains 2021 Hard
- One mole of an ideal gas is taken through an adiabatic process where the temperature rises from \(27^{\circ} {C}\) to \(37^{\circ} {C}\). If the ideal gas is composed of polyatomic molecule that has \(4\) vibrational modes which of the following is true?JEE Mains 2021 Medium
- A hoop of radius \(r\) and mass \(m\) rotating with an angular velocity \(\omega_0\) is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?JEE Mains 2013 Medium
More PYQs from JEE Mains
- Choose the correct statement about two circles whose equations are given below \(x^{2}+y^{2}-10 x-10 y+41=0\) \(x^{2}+y^{2}-22 x-10 y+137=0\)JEE Mains 2021 Medium
- A physical quantity \(P\) is given as \(P=\frac{a^2 b^3}{c \sqrt{d}}\) The percentage error in the measurement of \(a, b, c\) and \(d\) are \(1 \%, 2 \%, 3 \%\) and \(4 \%\) respectively. The percentage error in the measurement of quantity \(P\) will be \(.......\%\)JEE Mains 2023 Easy
- Two tangents are drawn from the point \(\mathrm{P}(-1,1)\) to the circle \(\mathrm{x}^{2}+\mathrm{y}^{2}-2 \mathrm{x}-6 \mathrm{y}+6=0\). If these tangents touch the circle at points \(A\) and \(B\), and if \(D\) is a point on the circle such that length of the segments \(A B\) and \(A D\) are equal, then the area of the triangle \(A B D\) is eqaul to:JEE Mains 2021 Medium
- In an experiment with photoelectric effect, the stopping potential,JEE Mains 2025 Medium
- Which one of the following is not a measurable quantity ?JEE Mains 2026 Medium
- From a sphere of mass \(M\) and radius \(R\), a smaller sphere of radius \(\frac{R}{2}\) is carved out such that the cavity made in the original sphere is between its centre and the periphery (See figure) . For the configuration in the figure where the distance between the centre of the original sphere and the removed sphere is \(3R\), the gravitational force between the two sphere is
JEE Mains 2014 Hard