MHT CET · Physics · Kinetic Theory of Gases
For a gas, \(\frac{\mathrm{R}}{\mathrm{C}_{\mathrm{V}}}=0 \cdot 4\) where 'R' is universal gas constant and \(\mathrm{C}_{\mathrm{V}}\) is the molar specific heat at constant volume. The gas is made up of molecules which are
- A polyatomic.
- B rigida diatonilc.
- C non-rigidd diatamịC.
- D monnatonic.
Answer & Solution
Correct Answer
(B) rigida diatonilc.
Step-by-step Solution
Detailed explanation
\(
\begin{array}{l}
\frac{\mathrm{R}}{\mathrm{C}_{\mathrm{v}}}=0.4 \\
\mathrm{R}=0.4 \mathrm{C}_{\mathrm{v}} \\
\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{v}}=\mathrm{R} \\
\mathrm{C}_{\mathrm{p}}=\mathrm{R}+\mathrm{C}_{\mathrm{v}}=(0.4+1) \mathrm{C}_{\mathrm{v}}=1.4 \mathrm{C}_{\mathrm{v}} \\
\therefore \frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=1.4=\mathrm{v}
\end{array}
\)
\(\therefore\) gas is made up of rigid diatomic molecules.
\begin{array}{l}
\frac{\mathrm{R}}{\mathrm{C}_{\mathrm{v}}}=0.4 \\
\mathrm{R}=0.4 \mathrm{C}_{\mathrm{v}} \\
\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{v}}=\mathrm{R} \\
\mathrm{C}_{\mathrm{p}}=\mathrm{R}+\mathrm{C}_{\mathrm{v}}=(0.4+1) \mathrm{C}_{\mathrm{v}}=1.4 \mathrm{C}_{\mathrm{v}} \\
\therefore \frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=1.4=\mathrm{v}
\end{array}
\)
\(\therefore\) gas is made up of rigid diatomic molecules.
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 toroidal solenoid with air core has an average radius ' \(\mathrm{R}^{\prime}\), number of turns ' \(\mathrm{N}^{\prime}\) and
area of cross-section 'A'. The self-inductance of the solenoid is (Neglect the field variation across the cross-section of the toroid)MHT CET 2020 Easy - The magnetic moments associated with two closely wound circular coils A and B of radius \(r_A=10 \mathrm{~cm}\) and \(r_B=20 \mathrm{~cm}\) respectively are equal if \(\left(\mathrm{N}_A, \mathrm{I}_A\right.\) and \(\mathrm{N}_{\mathrm{B}}, \mathrm{I}_{\mathrm{B}}\) are number of turns and current of A and B respectively)MHT CET 2024 Easy
- Which of the following instruments is 'NOT' a direct reading instrument?MHT CET 2020 Easy
- A series LCR circuit containing a resistance 'R' has angular frequency ' \(\omega\) '. At resonance the voltage across resistance and inductor are ' \(\mathrm{V}_{\mathrm{R}}\) ' and ' \(\mathrm{V}_{\mathrm{L}}\) ' respectively, then value of inductance 'L' will beMHT CET 2024 Easy
- A moving body is covering distances which are proportional to square of the time. Then the acceleration of the body isMHT CET 2020 Easy
- Two parallel plate air capacitors of same capacity ' C ' are connected in series to a battery of emf ' \(E\) '. Then one of the capacitors is completely filled with dielectric material of constant ' \(K\) '. The change in the effective capacity of the series combination isMHT CET 2024 Medium
More PYQs from MHT CET
- Let C be a curve given by \(y(x)=1+\sqrt{4 x-3}\), \(x\gt\frac{3}{4}\). If P is a point on C , such that the tangent at P has slope \(\frac{2}{3}\), then a point through which the normal at P passes, isMHT CET 2024 Medium
- Which among the following is NOT an example of one-dimensional nanostructure?MHT CET 2021 Medium
- \(\int_{0}^{\pi} \frac{x d x}{1+\cos \alpha \sin x},(0 < \alpha < \pi)\) is equal toMHT CET 2011 Hard
- A body of mass 'M' moving with velocity 'V' explodes into two equal parts. If one part comes to rest and the other part moves with velocity ' \(\mathrm{v}_{0}\) ', what would be the value of \(^{\prime} \mathrm{V}_{0}\) '?MHT CET 2020 Medium
- Seven capacitors each of capacitance \(2 \mu F\) are to be connected to obtain equivalent
capacitance of \(\left(\frac{10}{11}\right) \mu \mathrm{F}\). Which of the following combination is possible?MHT CET 2020 Medium - A coin is tossed three times. If \(\mathrm{X}\) denote the absolute difference between the number of heads and the number of tails, then, \(\mathrm{P}(\mathrm{X}=1)=\)MHT CET 2021 Easy