JEE Mains · Physics · STD 11 - 11. thermodynamics
For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where \(\gamma\) is the ratio of specific heats):
- A \(-\gamma \frac{ dV }{ V }\)
- B \(-\gamma \frac{ V }{ dV }\)
- C \(-\frac{1}{\gamma} \frac{ dV }{ V }\)
- D \(\frac{ d V }{ V }\)
Answer & Solution
Correct Answer
(A) \(-\gamma \frac{ dV }{ V }\)
Step-by-step Solution
Detailed explanation
\(PV ^{\gamma}=\) constant Differentiating \(\frac{ dP }{ dV }=-\frac{\gamma P }{ V }\) \(\frac{ dP }{ P }=-\frac{\gamma dV }{ V }\)
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
- Three identical bars \(A, B\) and \(C\) are made of different magnetic materials. When kept in a uniform magnetic field, the field lines around them look as follows: Make the correspondence of these bars with their material being diamagnetic \((D)\), ferromagnetic \((F)\) and paramagnetic \((P)\)
JEE Mains 2014 Medium - At the centre of a fixed large circular coil of radius \(R\), a much smaller circular coil of radius \(r\) is placed. The two coils are concentric and are in the same plane. The larger coil carries a current \(I\). The smaller coil is set to rotate with a constant angular velocity \(\omega \) about an axis along their common diameter. Calculate the \(emf\) induced in the smaller coil after a time \(t\) of its start of rotationJEE Mains 2018 Hard
- Wax is coated on the inner wall of a capillary tube and the tube is then dipped in water. Then, compared to the unwaxed capillary, the angle of contact \(\theta \) and the height \(h\) upto which water rises change. These changes areJEE Mains 2013 Medium
- A particle moving in a straight line covers half the distance with speed \(6 \mathrm{~m} / \mathrm{s}\). The other half is covered in two equal time intervals with speeds 9 \(\mathrm{m} / \mathrm{s}\) and \(15 \mathrm{~m} / \mathrm{s}\) respectively. The average speed of the particle during the motion is _______.JEE Mains 2024 Hard
- A vector in \(x-y\) plane makes an angle of \(30^{\circ}\) with \(y\)-axis The magnitude of \(y\)-component of vector is \(2 \sqrt{3}\). The magnitude of \(x\)-component of the vector will beJEE Mains 2023 Medium
- The logic gate equivalent to the given circuit diagram is:
JEE Mains 2023 Medium
More PYQs from JEE Mains
- A compound microscope consists of an objective lens of focal length \(1 \,cm\) and an eye piece of focal length \(5 \,cm\) with a separation of \(10 \,cm\) The distance between an object and the objective lens, at which the strain on the eye is minimum is \(\frac{ n }{40}\, cm .\) The value of \(n\) is\(....\)JEE Mains 2020 Medium
- If the center and radius of the circle \(\left|\frac{z-2}{z-3}\right|=2\) are respectively \((\alpha, \beta)\) and \(\gamma\), then \(3(\alpha+\beta+\gamma)\) is equal toJEE Mains 2023 Hard
- The mean and variance of \(7\) observations are \(8\) and \(16\) respectively. If two observations are \(6\) and \(8 ,\) then the variance of the remaining \(5\) observations is:JEE Mains 2021 Medium
- If the value of real number \(a > 0\) for which \(x^2-5 a x\) \(+1=0\) and \(x^2-a x-5=0\) have a common real roots is \(\frac{3}{\sqrt{2 \beta}}\) then \(\beta\) is equal toJEE Mains 2023 Hard
- If \(\frac{1}{2 \cdot 3^{10}}+\frac{1}{2^{2} \cdot 3^{9}}+\ldots \frac{1}{2^{10} \cdot 3}=\frac{K}{2^{10} \cdot 3^{10}}\), then the remainder when \(K\) is divided by \(6\) isJEE Mains 2022 Hard
- In an ideal gas at temperature \(T,\) the average force that a molecule applies on the walls of a closed container depends on \(T\) as \(T^q\) . A good estimate for \(q\) isJEE Mains 2015 Medium