1
JEE Advanced 2018 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Change Language
One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the $$PV$$-diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the processes mentioned in List-I with the corresponding statements in List-II.

JEE Advanced 2018 Paper 2 Offline Physics - Heat and Thermodynamics Question 49 English

LIST - I LIST - II
P. In process I 1. Work done by the gas is zero
Q. In process II 2. Temperature of the gas remains
unchanged
R. In process III 3. No heat is exchanged between
the gas and its surroundings
S. In process IV 4. Work done by the gas is 6P0V0
A
$$P \to 4;Q \to 3;R \to 1;S \to 2$$
B
$$P \to 1;Q \to 3;R \to 2;S \to 4$$
C
$$P \to 3;Q \to 4;R \to 1;S \to 2$$
D
$$P \to 3;Q \to 4;R \to 2;S \to $$
2
JEE Advanced 2018 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
Change Language
In the List-$${\rm I}$$ below, four different paths of a particle are given as functions of time. In these functions, $$\alpha $$ and $$\beta $$ are positive constants of appropriate dimensions and $$\alpha \ne \beta $$ In each case, the force acting on the particle is either zero or conservative. In List-$${\rm I}{\rm I}$$, five physical quantities of the particle are mentioned $$\overrightarrow p $$ is the linear momentum, $$\overrightarrow L $$ is the angular momentum about the origin, $$K$$ is the kinetic energy, $$U$$ is the potential energy and $$E$$ is the total energy. Match each path in List-$${\rm I}$$ with those quantities in List-$${\rm II}$$, which are conserved for that path.

LIST - I LIST - II
P. $$\overrightarrow r $$(t)=$$\alpha $$ $$t\,\widehat i + \beta t\widehat j$$ 1. $$\overrightarrow p $$
Q. $$\overrightarrow r \left( t \right) = \alpha \cos \,\omega t\,\widehat i + \beta \sin \omega t\,\widehat j$$ 2. $$\overrightarrow L $$
R. $$\overrightarrow r \left( t \right) = \alpha \left( {\cos \omega t\,\widehat i + \sin \omega t\widehat j} \right)$$ 3. K
S. $$\overrightarrow r \left( t \right) = \alpha t\,\widehat i + {\beta \over 2}{t^2}\widehat j$$ 4. U
5. E
A
$$P \to 1,2,3,4,5;\,Q \to 2,5;R \to 2,3,4,5;S \to 5$$
B
$$P \to 1,2,3,4,5;{\mkern 1mu} Q \to 3,5;R \to 2,3,4,5;S \to 2,5$$
C
$$P \to 2,3,4;{\mkern 1mu} Q \to 5;R \to 1,2,4;S \to 2,5$$
D
$$P \to 1,2,3,4,5;{\mkern 1mu} Q \to 2,5;R \to 2,3,4,5;S \to 2,5$$
3
JEE Advanced 2018 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
Change Language
A particle of mass $$m$$ is initially at rest at the origin. It is subjected to a force and starts moving along the $$x$$-axis. Its kinetic energy $$K$$ changes with time as $$dK/dt = \gamma t,$$ where $$\gamma $$ is a positive constant of appropriate dimensions. Which of a positive constant of appropriate dimensions. Which of the following statement is (are) true?
A
The force applied on the particle is constant
B
The speed of the particle is proportional to time
C
The distance of the particle from the origin increases linearly with time
D
The force is conservative
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