JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
At room temperature a diatomic gas is found to have an \(r.m.s.\) speed of \(1930\,ms^{-1}\). The gas is
- A \(H_2\)
- B \(Cl_2\)
- C \(O_2\)
- D \(F_2\)
Answer & Solution
Correct Answer
(A) \(H_2\)
Step-by-step Solution
Detailed explanation
\(\because \quad \mathrm{C}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}\) \((1930^2)=\frac{3 \times 8.314 \times 300}{M}\) \(\mathrm{M}=\frac{3 \times 8.314 \times 300}{1930 \times 1930} \approx 2 \times 10^{-3} \mathrm{kg}\) The gas is \(\mathrm{H}_{2}\)
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 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
- A \(1 \mathrm{~kg}\) mass is suspended from the ceiling by a rope of length \(4 \mathrm{~m}\). A horizontal force ' \(F\) ' is applied at the mid point of the rope so that the rope makes an angle of \(45^{\circ}\) with respect to the vertical axis as shown in figure. The magnitude of \(F\) is _______.
JEE Mains 2024 Hard - If three moles of monoatomic gas \(\left(\gamma=\frac{5}{3}\right)\) is mixed with two moles of a diatomic gas \(\left(\gamma=\frac{7}{5}\right)\), the value of adiabatic exponent \(\gamma\) for the mixture is _______.JEE Mains 2024 Hard
- If \(x\) and \(y\) coordinates of a projectile as a function of time \((t)\) are given as \(24t\) and \(43.6t-4.9t^2\), respectively, then the angle (in degrees) made by the projectile with horizontal when \(t=2\) s is ______.JEE Mains 2026 Medium
- Let \(\vec A\, = \,(\hat i\, + \,\hat j)\,\) and \(\vec B\, = \,(2\hat i\, - \,\hat j)\,.\) The magnitude of a coplanar vector \(\vec C\) such that \(\vec A\cdot \vec C\, = \,\vec B\cdot \vec C\, = \vec A\cdot \vec B\) is given byJEE Mains 2018 Hard
- In the following \(p-V\) diagram the equation of state along the curved path is given by \((V-2)^2=4\) ap where \(a\) is a constant. The total work done in the closed path is
JEE Mains 2026 Medium
More PYQs from JEE Mains
- If the matrix \(A=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 2 & 0 \\ 3 & 0 & -1\end{array}\right]\) satisfies the equation \(A ^{20}+\alpha A ^{19}+\beta A =\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 1\end{array}\right]\) for some real numbers \(\alpha\) and \(\beta\), then \(\beta-\alpha\) is equal to ........ .JEE Mains 2021 Hard
- In the given circuit- the value of current \(I _{ L }\) will be \(mA\). (When \(R _{ L }=1 \,k\, \Omega\) )
JEE Mains 2022 Easy - Let \( I(x)=\int\frac{3dx}{(4x+6)(\sqrt{4x^{2}+8x+3})} \) and \( I(0)=\frac{\sqrt{3}}{4}+20 \). If \( I(\frac{1}{2})=\frac{a\sqrt{2}}{b}+c \), where \( a, b, c \in N \) and \( gcd(a,b)=1 \), then \( a+b+c \) is equal to:JEE Mains 2026 Easy
- Let \(y=y(x)\) be the solution of the differential equation \(\left(3 y^2-5 x^2\right) y d x+2 x\left(x^2-y^2\right) d y=0\) such that \(y(1)=1\). then \(\left|(y(2))^3-12 y(2)\right|\) is equal to:JEE Mains 2023 Hard
- \(\mathop {\lim }\limits_{n \to \infty } \left( {\frac{{{{\left( {n + 1} \right)}^{1/3}}}}{{{n^{4/3}}}} + \frac{{{{\left( {n + 2} \right)}^{1/3}}}}{{{n^{4/3}}}} + .... + \frac{{{{\left( {2n} \right)}^{1/3}}}}{{{n^{4/3}}}}} \right)\) is equal toJEE Mains 2019 Hard
- When radiation of wavelength \(\lambda \) is incident on a metallic surface, the stopping potential is \(4.8\) volts. If the same surface is illuminated with radiation of double the wavelength, then the stopping potential becomes \(1.6\) volts. Then the threshold wavelength for the surface isJEE Mains 2021 Hard