>
Exams
>
Physics
>
Thermodynamics terms
>
which equation is valid for adiabatic process
Question:
Which equation is valid for adiabatic process?
Show Hint
Always remember two key adiabatic forms: \(pV^\gamma\) and \(TV^{\gamma-1}\).
MET - 2020
MET
Updated On:
Apr 16, 2026
\(TV^{\gamma-1} = \text{constant}\)
\(pV^{\gamma} = \text{constant}\)
\(T^{\gamma}V^{\gamma-1} = \text{constant}\)
\(\frac{p^{1-\gamma}}{T^{\gamma}} = \text{constant}\)
Show Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
Concept:
For adiabatic process: \[ pV^\gamma = \text{constant} \]
Step 1:
Derived relation
Using ideal gas law: \[ TV^{\gamma-1} = \text{constant} \]
Step 2:
Check options
• (A) correct form
• (B) also correct but not asked in required form
• (C) incorrect
• (D) incorrect representation
Download Solution in PDF
Was this answer helpful?
0
0
Top MET Physics Questions
The wave number of the shortest wavelength of absorption spectrum of hydrogen atom is_ _ _ _
(Rydberg constant = \(109700\,\mathrm{cm^{-1}}\)).
MET - 2024
Physics
atom structure models
View Solution
In the circuit shown, diode has \(20\Omega\) forward resistance. When \(V_i\) increases from \(8V\) to \(12V\), change in current is \(x\,mA\). Find \(x\).
MET - 2024
Physics
applications of diode
View Solution
When a lens is cut into two halves along \(XOX'\), then focal length of each half lens:
MET - 2024
Physics
Ray optics and optical instruments
View Solution
When \(100\,V\) DC is applied across a solenoid, current is \(1\,A\). When \(100\,V\) AC is applied, current is \(0.5\,A\). Frequency \(=50\,Hz\). Find inductance \(= x\,mH\).
MET - 2024
Physics
LCR Circuit
View Solution
An electric dipole shown in the figure. Work done to move a charge particle of \(1\mu C\) from point Q to P is \(x \times 10^{-7} J\), then the value of \(x\) is:
MET - 2024
Physics
Electric charges and fields
View Solution
View More Questions
Top MET Thermodynamics terms Questions
During an adiabatic process, the pressure P of a fixed mass of an ideal gas changes by \( \Delta P \) and its volume V changes by \( \Delta V \). If \( \gamma = C_P/C_V \), then \( \Delta V/V \) is given by:
MET - 2021
Physics
Thermodynamics terms
View Solution
An engine has an efficiency of \( \frac{1}{3} \). The amount of work this engine can perform per kcal of heat input is :
MET - 2021
Physics
Thermodynamics terms
View Solution
In the indicator diagram, AB is an isotherm and BC is an adiabat, because :
MET - 2021
Physics
Thermodynamics terms
View Solution
Internal energy of a gas remains unchanged in:
I. an isothermal process
II. an adiabatic process
III. a reversible process
IV. a cyclic process
MET - 2020
Physics
Thermodynamics terms
View Solution
IUPAC name of \( (CH_{3})_{3}CCl \) is
MET - 2009
Physics
Thermodynamics terms
View Solution
View More Questions
Top MET Questions
Let \( f:\mathbb{N} \to \mathbb{N} \) be defined as \[ f(n)= \begin{cases} \frac{n+1}{2}, & \text{if } n \text{ is odd} \\ \frac{n}{2}, & \text{if } n \text{ is even} \end{cases} \] Then \( f \) is:
MET - 2024
types of functions
View Solution
Given vectors \(\vec{a}, \vec{b}, \vec{c}\) are non-collinear and \((\vec{a}+\vec{b})\) is collinear with \((\vec{b}+\vec{c})\) which is collinear with \(\vec{a}\), and \(|\vec{a}|=|\vec{b}|=|\vec{c}|=\sqrt{2}\), find \(|\vec{a}+\vec{b}+\vec{c}|\).
MET - 2024
Addition of Vectors
View Solution
Given \(\frac{dy}{dx} + 2y\tan x = \sin x\), \(y=0\) at \(x=\frac{\pi}{3}\). If maximum value of \(y\) is \(1/k\), find \(k\).
MET - 2024
Differential equations
View Solution
Let \( f(x) \) be a polynomial such that \( f(x) + f(1/x) = f(x)f(1/x) \), \( x > 0 \). If \( \int f(x)\,dx = g(x) + c \) and \( g(1) = \frac{4}{3} \), \( f(3) = 10 \), then \( g(3) \) is:
MET - 2024
Definite Integral
View Solution
A real differentiable function \(f\) satisfies \(f(x)+f(y)+2xy=f(x+y)\). Given \(f''(0)=0\), then \[ \int_0^{\pi/2} f(\sin x)\,dx = \]
MET - 2024
Definite Integral
View Solution
View More Questions