Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

solve
question image
Asked by adjacentcalliber10 | 10 May, 2019, 12:00: PM
answered-by-expert Expert Answer
for adiabatic process, we have     PV γ = K  ...................(1)
 
where P is pressure, V is volume, γ is ratio of specific heat of constant volume and constant pressure and K is a constant.
 
by taking logarithm on both sides of eqn.(1), we have   ln(P) + γ ln(V) = ln(K)
 
Hence  we have,    ln(P) = ln(K) - γ ln(V) ..............................(2)
 
Eqn.(2) shows the linear relationship between ln(P) and ln(V) as shown in graphs of figure given in question with negative slope.
 
Hence slope of each graph equals the ratio of specific heat of constant volume and constant pressure.
 
slope of graph-X that represent gas-1 is greater than slope of graph-Y that represent gas-2.
 
Hence ratio of specific heats of gas-1 is graeter than that of gas-2
 
γ1 > γ2   ;
 
   begin mathsize 12px style C subscript P 1 end subscript over C subscript V 1 end subscript space greater than space fraction numerator begin display style C subscript P 2 end subscript end style over denominator begin display style C subscript V 2 end subscript end style end fraction space space space space space semicolon space space space space space space space fraction numerator C subscript V 1 end subscript space plus space R over denominator C subscript V 1 end subscript end fraction space greater than space fraction numerator begin display style C subscript V 2 end subscript space plus space R end style over denominator begin display style C subscript V 2 end subscript end style end fraction space space space semicolon space space space space 1 space plus space R over C subscript V 1 end subscript space greater than space 1 space plus space fraction numerator begin display style R end style over denominator begin display style C subscript V 2 end subscript end style end fraction space space space space space space fraction numerator begin display style R end style over denominator begin display style C subscript V 1 end subscript end style end fraction space greater than space space fraction numerator begin display style R end style over denominator begin display style C subscript V 2 end subscript end style end fraction space space space semicolon space space space space space C subscript V 2 end subscript space space greater than space C subscript V 1 end subscript end style
 
 
Specific heat is directly prportional to degrees of freedom f .  Since we have CV2 > CV1 ,  then  f2 > f1
Answered by Thiyagarajan K | 12 May, 2019, 17:24: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Physics
a marble block of mass 2 kg lying on ice when a given velocity of 6 ms–1 is stopped by friction in 10 seconds then co efficient of friction is
Asked by sumalathamadarapu9 | 23 Oct, 2024, 22:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
show that the frequency of oscillations remain unchanged whether a mass attached to a spring is made to oscillate in the vertical or in the horizontal direction
Asked by py309649 | 13 Oct, 2024, 13:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Square of the time period of revolution of a planet is proportional to the cube of the mean distance between sun and planet. If mean distance is increased by 2% then percentage change in its time period is
Asked by coolskrish | 13 Oct, 2024, 12:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
two particles of mass m and 4m are initially actress the sad moving towards each other due to mutual gravitational force at an instantly of m is vî then at this instant the velocity of mass 4m is
Asked by midnightmoon3355 | 09 Oct, 2024, 09:09: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
what is the second law of thermodynamics
Asked by rambabunaidu4455 | 03 Oct, 2024, 16:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
what is the relation between drift velocity and mobility
Asked by ratchanavalli07 | 17 Sep, 2024, 07:46: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
A ball of mass m approaches a moving wall of infinite mass with speed v along the normal to the wall. The speed of the ball is u towards the ball. The speed of the ball after elastic collision with the wall is
Asked by yayashvadutta45 | 15 Sep, 2024, 19:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
a current of 2a is flowing through a conductor of length 22m bent in arc radius 5cm
Asked by adithireddy999 | 03 Sep, 2024, 09:35: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
two vectors vector a and vector B lie in one plane vector c lie in the different plane then vector a + vector b + vector c is
Asked by vaishalinirmal739 | 29 Aug, 2024, 18:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
What is impulse?
Asked by vradhysyam | 26 Aug, 2024, 17:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt