JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
If the root mean square velocity of hydrogen molecule at a given temperature and pressure is \(2 \mathrm{~km} / \mathrm{s}\), the root mean square velocity of oxygen at the same condition in \(\mathrm{km} / \mathrm{s}\) is _______.
- A \(2.0\)
- B \(0.5\)
- C \(1.5\)
- D \(1.0\)
Answer & Solution
Correct Answer
(B) \(0.5\)
Step-by-step Solution
Detailed explanation
\(V_{1 \mathrm{~ms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}\) \(\frac{\mathrm{V}_1}{\mathrm{~V}_2}=\sqrt{\frac{\mathrm{M}_2}{\mathrm{M}_1}} \Rightarrow \frac{2}{\mathrm{~V}_2}=\sqrt{\frac{32}{2}}\) \(\mathrm{~V}_2=0.5 \mathrm{~km} / \mathrm{s}\)
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 particle of mass \(250\,g\) executes a simple harmonic motion under a periodic force \(F =(-25\,x) N\). The particle attains a maximum speed of \(4\,m / s\) during its oscillation. The amplitude of the motion is \(...........cm\).JEE Mains 2023 Medium
- A point charge of \(+\,12 \,\mu C\) is at a distance \(6 \,cm\) vertically above the centre of a square of side \(12\, cm\) as shown in figure. The magnitude of the electric flux through the square will be ....... \(\times 10^{3} \,Nm ^{2} / C\)
JEE Mains 2021 Medium - The current density in a cylindrical wire of radius \(r=4.0 \,mm\) is \(1.0 \times 10^{6} \,A / m ^{2}\). The current through the outer portion of the wire between radial distances \(r / 2\) and \(r\) is \(x \pi A\); where \(x\) is ..........JEE Mains 2022 Hard
- If \(\rho\) is the density and \(\eta\) is coefficient of viscosity of fluid which flows with a speed \(v\) in the pipe of diameter \(d\), the correct formula for Reynolds number \(R _{ e }\) is ..............JEE Mains 2022 Easy
- An object ' \(o\) ' is placed at a distance of \(100\,cm\) in front of a concave mirror of radius of curvature \(200\,cm\) as shown in the figure. The object starts moving towards the mirror at a speed \(2\,cm / s\). The position of the image from the mirror after \(10\,s\) will be at ...... \(cm\).
JEE Mains 2022 Hard - Moment of inertia of a body about a given axis is \(1.5\, kg\, m^2\) Initially the body is at rest. In order to produce a rotational kinetic energy of \(1200\, J\), the angular acceleration of \(20\, rad/s^2\) must be applied about the axis of rotation for a duration of ......... \(\sec\).JEE Mains 2019 Medium
More PYQs from JEE Mains
- A square loop of side \(2a\) and carrying current I is kept in \(xz\) plane with its centre at origin. A long wire carrying the same current I is placed parallel to \(z-\)axis and passing through point \((0, b , 0),( b >> a ) .\) The magnitude of torque on the loop about \(z-\)ax is will beJEE Mains 2020 Hard
- Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match, is \(840\), then the total numbers of persons, who participated in the tournament, is \(........\).JEE Mains 2023 Medium
- The frequency of a car horn encountered a change from \(400\, {Hz}\) to \(500\, {Hz}\), when the car approaches a vertical wall. If the speed of sound is \(330\, {m} / {s}\). Then the speed of car is \(.....\,{km} / {h} .\)JEE Mains 2021 Easy
- Let \(f : R \rightarrow R\) be a continuous function such that \(f(3 x)-f(x)=x\). If \(f(8)=7\), then \(f(14)\) is equal to.JEE Mains 2022 Hard
- If the acceleration due to gravity experienced by a point mass at a height \(h\) above the surface of earth is same as that of the acceleration due to gravity at a depth a depth \(\alpha\) h \(\left(h \ll R_{e}\right)\) from the earth surface. The value of \(\alpha\) will be\(....\)(use \(R _{ e }=6400\,km\) )JEE Mains 2022 Medium
- A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of \(100 \mathrm{~cm}^2\) with hinged door is fitted at a depth of 3 m in the partition wall. One part of the vessel is filled completely with water and the other side is filled with the liquid having density \(1.5 \times 10^3 \mathrm{~kg} / \mathrm{m}^3\). What force one needs to apply on the hinged door so that it does not get opened ?
(Acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^2\))JEE Mains 2025 Easy