MHT CET · Physics · Thermodynamics
The ratio of work done by an ideal rigid diatomic gas to the heat supplied by the gas in an isobaric process is
- A \(\frac{3}{7}\)
- B \(\frac{2}{7}\)
- C \(\frac{4}{7}\)
- D \(\frac{5}{7}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{7}\)
Step-by-step Solution
Detailed explanation
For an isobaric process,
\(\begin{array}{ll}
& \frac{\Delta \mathrm{Q}}{\Delta \mathrm{U}}=\frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=\frac{7}{5} \\
\therefore \quad & \frac{\Delta \mathrm{Q}-\Delta \mathrm{U}}{\Delta \mathrm{Q}}=\frac{7-5}{7} \quad \text { (Applying dividendo) } \\
\therefore \quad & \frac{\mathrm{W}}{\Delta \mathrm{Q}}=\frac{2}{7}
\end{array}\)
\(\begin{array}{ll}
& \frac{\Delta \mathrm{Q}}{\Delta \mathrm{U}}=\frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=\frac{7}{5} \\
\therefore \quad & \frac{\Delta \mathrm{Q}-\Delta \mathrm{U}}{\Delta \mathrm{Q}}=\frac{7-5}{7} \quad \text { (Applying dividendo) } \\
\therefore \quad & \frac{\mathrm{W}}{\Delta \mathrm{Q}}=\frac{2}{7}
\end{array}\)
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 the orbit of a geostationary satellite is (mean radius of the earth is \(\mathrm{R}\),
angular velocity about an axis in \(\omega\) and accleration due to gravity on earth's surface
is g)MHT CET 2020 Medium - If \(\mathrm{p}-\mathrm{n}\) junction diode is in forward bias thenMHT CET 2023 Easy
- Graph shows the variation of de-Broglie wavelength \(\lambda\) versus \(\frac{1}{\sqrt{V}}\) where \(V\) is the accelerating potential for four particles, P, Q, R, S carrying same charge but of mass \(m_1, m_2, m_3, m_4\). Which one represents a particle of smaller mass?
MHT CET 2022 Hard - A sphere ' \(A\) ' of radius ' \(R\) ' has a charge ' \(Q\),' on it. The field at point \(B\) outside the sphere is ' \(E\) '. Now another sphere of radius ' \(2 R\) ' having a charge ' \(-2 Q\) ' is placed at \(B\). The total field at the point midway between A and B due to both the spheres isMHT CET 2024 Medium
- A \(p-n\) photodiode is made of a material with a band gap of \(2.0\) eV. The minimum frequency of the radiation that can be absorbed by the material is nearlyMHT CET 2008 Medium
- In the P-V diagram shown, there are two adiabatic parts of the same gas intersecting two isothermals at \(T_1\) and \(T_2\). The ratio \(\left(\frac{V_b}{V_a}\right)\) is equal to
MHT CET 2022 Hard
More PYQs from MHT CET
- A transparent glass cube of length \(24 \mathrm{~cm}\) has a small air bubble trapped inside. When seen normally through one surface from air outside, its apparent distance is \(10 \mathrm{~cm}\) from the surface. When seen normally from opposite surface, its apparent distance is \(6 \mathrm{~cm}\). The distance of the air bubble from first surface isMHT CET 2023 Medium
- Let X be the number of successes in ‘n’ independent Bernoulli trials with probability of success . The least value of ‘n’ so that is….MHT CET 2019 Hard
- What is the SI unit of conductivity?MHT CET 2017 Easy
- Which of the following salts turns red litmus blue in its aqueous solution?MHT CET 2023 Easy
- Mrs. Rajni deposited Rs. 10,0000 in a bank that pays \(4 \%\) interest compounded continuously then the amount she gets after 10 years is Rs. approximately.
(given \(e^{(0.4)}=1.49182\) )MHT CET 2022 Medium - If \(\tan A=\frac{1}{2}, \tan B=\frac{1}{3}\) then \(\tan (A+2 B)\) has the valueMHT CET 2022 Easy