JEE Mains · Physics · STD 11 - 11. thermodynamics
A heat engine is involved with exchange of heat of \(1915\, J,\) \(-40\, J ,+125\, J\) and \(-Q\,J\), during one cycle achieving an efficiency of \(50.0 \%\). The value of \(Q\) is.......\(J\)
- A \(640\)
- B \(400\)
- C \(980\)
- D \(40\)
Answer & Solution
Correct Answer
(C) \(980\)
Step-by-step Solution
Detailed explanation
\(\eta=\frac{\text { Work done }}{\text { Heat supplied }}\) \(\frac{1}{2}=\eta=\frac{1915-40+125- Q }{1915+125}\) \(\frac{1}{2}=\frac{2000- Q }{2040}\) \(2040=4000-2 Q\) \(2 Q =1960\) \(Q =980 J\)
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
- In the wave equation \(y =0.5 \sin \frac{2 \pi}{\lambda}(400 t - x )\,m\) the velocity of the wave will be ......... \(m / s\)JEE Mains 2022 Easy
- For a body projected at an angle with the horizontal from the ground, choose the correct statement.JEE Mains 2023 Medium
- A force \(\overrightarrow{\mathrm{F}}=2 \hat{i}+\mathrm{b} \hat{j}+\hat{k}\) is applied on a particle and it undergoes a displacement \(\hat{i}-2 \hat{j}-\hat{k}\). What will be the value of \(b\), if work done on the particle is zero.JEE Mains 2025 Easy
- A direct current of \(4\,A\) and an alternating current of peak value \(4\,A\) flow through resistance of \(3\,\Omega\) and \(2\,\Omega\) respectively. The ratio of heat produced in the two resistances in same interval of time will be.JEE Mains 2022 Medium
- The mean intensity of radiation on the surface of the Sun is about \(10^{8}\,W/m^2.\) The \(rms\) value of the corresponding magnetic field is closet toJEE Mains 2019 Medium
- A circular coil of \(1000 \,\,turns\) each with area \(1\, m ^{2}\) is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of \(0.07 \,T\). The maximum voltage generation will be......... \(V\).JEE Mains 2022 Easy
More PYQs from JEE Mains
- Let \(p , q \in R\) and \((1-\sqrt{3} i )^{200}=2^{199}( p + iq )\), \(i =\sqrt{-1}\) Then \(p + q + q ^2\) and \(p - q + q ^2\) are roots of the equation.JEE Mains 2023 Hard
- Three infinitely long wires with linear charge density \(\lambda\) are placed along the \(x-a x i s, y\)-axis and \(z-\) axis respectively. Which of the following denotes an equipotential surface?JEE Mains 2025 Hard
- A vessel contains \(0.15\) m\(^3\) of a gas at pressure \(8\) bar and temperature \(140°\)C with \(c_p = 3R\) and \(c_v = 2R\). It is expanded adiabatically till pressure falls to \(1\) bar. The work done during this process is _______ kJ. (\(R\) is gas constant)JEE Mains 2026 Hard
- If \(\Delta=\left|\begin{array}{ccc}x-2 & 2 x-3 & 3 x-4 \\ 2 x-3 & 3 x-4 & 4 x-5 \\ 3 x-5 & 5 x-8 & 10 x-17\end{array}\right|=\) \(Ax ^{3}+ Bx ^{2}+ Cx + D ,\) then \(B + C\) is equal toJEE Mains 2020 Hard
- When a gas filled in a closed vessel is heated by raising the temperature by \(1^{\circ} C\), its pressure increase by \(0.4 \%\). The initial temperature of the gas is ..........\(K\)JEE Mains 2022 Medium
- Consider a gas of triatomic molecules. The molecules are assumed to the triangular and made of massless rigid rods whose vertices are occupied by atoms. The internal energy of a mole of the gas at temperature \(T\) is \(......RT\)
JEE Mains 2020 Medium