JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
Two moles of helium are mixed with \(n\) with moles of hydrogen. If \(\frac{{{C_P}}}{{{C_V}}}\, = \,\frac{3}{2}\) for the mixture, then the value of \(n\) is
- A \(1.5\)
- B \(2\)
- C \(1\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
Using formula, \({\gamma _{mixture}} = {\left( {\frac{{{C_p}}}{{{C_V}}}} \right)_{mix}} = \frac{{\frac{{{n_1}{\gamma _1}}}{{{\gamma _1} - 1}} + \frac{{{n_2}{\gamma _2}}}{{{\gamma _2} - 1}}}}{{\frac{{{n_1}}}{{{\gamma _1} - 1}} + \frac{{{n_2}}}{{{\gamma _2} - 1}}}}\) Putting the…
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 bowl filled with very hot soup cools from \(98^{\circ}\,C\) to \(86^{\circ}\,C\) in \(2\) minutes when the room temperature is \(22^{\circ}\,C\). \(..........\,minutes\) long it will take to cool from \(75^{\circ}\,C\) to \(69^{\circ}\,C\) ?JEE Mains 2023 Medium
- In Young's double slit experiment, carried out with light of wavelength \(5000\) \(A\), the distance between the slits is \(0.3 \mathrm{~mm}\) and the screen is at \(200 \mathrm{~cm}\) from the slits. The central maximum is at \(x=0 \mathrm{~cm}\). The value of \(\mathrm{x}\) for third maxima is _______ \(\mathrm{mm}\).JEE Mains 2024 Hard
- A capacitor \(C _{1}\) of capacitance \(5\,\mu F\) is charged to a potential of \(30\,V\) using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor \(C _{2}\) of capacitance \(10\,\mu F\) as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor \(C _{2}\) is________ \(\mu C\)
JEE Mains 2022 Hard - The material filled between the plates of a parallel plate capacitor has resistivity \(200 \Omega \, {m}\). The value of capacitance of the capacitor is \(2\, {pF}\). If a potential difference of \(40 \,{V}\) is applied across the plates of the capacitor, then the value of leakage current flowing out of the capacitor is (given the value of relative permitivity of material is \(50\) )JEE Mains 2021 Hard
- In a radioactive decay chain, the initial nucleus is \({}_{90}^{232}Th\). At the end there are \(6\,\,\alpha -\) particles and \(4\,\,\beta -\) particles with are emitted. If the end nucleus is \({}_Z^AX\,,\,A\) and \(Z\) are given byJEE Mains 2019 Medium
- The light of two different frequencies whose photons have energies \(3.8 \,eV\) and \(1.4 \,eV\) respectively, illuminate a metallic surface whose work function is \(0.6 \,eV\) successively. The ratio of maximum speeds of emitted electrons for the two frequencies respectivly will beJEE Mains 2022 Medium
More PYQs from JEE Mains
- In a set of \(2n\) distinct observations, each of the observations below the median of all the observations is increased by \(5\) and each of the remaining observations is decreased by \(3\). Then the mean of the new set of observationsJEE Mains 2014 Hard
- The area of the region \(\left\{(x, y): y^2 \leq 4 x, x<4, \frac{x y(x-1)(x-2)}{(x-3)(x-4)}>0, x \neq 3\right\}\) isJEE Mains 2024 Hard
- A \(dc\) source of \(emf \,E_1 = 100\,V\) and internal resistance \(r = 0.5\,\Omega ,\) a storage battery of emf \(E_2 = 90\,V\) and an external resistance \(R\) are connected as shown in figure. For what value of \(R\) no current will pass through the battery ? ................ \(\Omega\)
JEE Mains 2013 Medium - Two charges of \(-4 \ \mu \mathrm{C}\) and \(+4\ \mu \mathrm{C}\) are placed at the points \(A(1,0,4) \mathrm{m}\) and \(B(2,-1,5) \mathrm{m}\) located in an electric field \(\vec{E}=0.20 \hat{\mathrm{i}} \mathrm{V} / \mathrm{cm}\). The magnitude of the torque acting on the dipole is \(8 \sqrt{\alpha} \times 10^{-3} \mathrm{Nm}\), Where \(\alpha=\)___________JEE Mains 2024 Hard
- Following statements related to radioactivity are given below \((A)\) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions. \((B)\) The number of un-decayed nuclei in the radioactive sample decays exponentially with time. \((C)\) Slope of the graph of \(\log _{e}\) (no. of undecayed nuclei) \(Vs\). time represents the reciprocal of mean life time \((\tau)\). \((D)\) Product of decay constant ( \(\lambda\) ) and half-life time \(\left(T_{1 / 2}\right)\) is not constant. Choose the most appropriate answer from the options given belowJEE Mains 2022 Hard
- A thermometer graduated according to a linear scale reads a value \(x_0\) when in contact with boiling water, and \(x_0/3\) when in contact with ice. What is the temperature of an object in \({}^oC\), if this thermometer in the contact with the object reads \(x_0/2\) ?JEE Mains 2019 Hard