Testseries IITJEE Thermodynamics -I

Mulitiple Choice questions with Single answer
1. A rod of length L having coefficent of Linear expansion α is lying freely on the floor.it is heated so that temperature changes by ΔT .Find the longitidunal strain developed in the rod
a. 0
b. αΔT
c. -αΔT
d. none of the above

2.if a is coefficent of Linear expansion,b coefficent of areal expansion,c coefficent of Volume expansion.Which of the following is true
a. b=2a
b. c=3a
c. b=3a
d. a=2b

3. There are two statement
A. Equal volumes of all gases at the same temperature T and pressure P contain an equal no of Molecules
B.the no of molecules in one mole of any gas is 6.0255 * 10²².
which one of the following is correct
a. A and B both
b. A only
c B only
d. A and B both are incorrect

4.There are two statement about Ideal gases
A. The V_rms of gas molecules depends on the mass of the gas molecule and the temperature
B. The V_rms is same for all the gases at the same temperature
which one of the following is correct
a. A and B both
b. A only
c B only
d. A and B both are incorrect

5. Consider the following two statement
A.If heat is added to the system,it temperature must increase
B.If dW >0 then dV >0
a A & B both are correct
b A is correct only
c. B is correct only
d A &B both are wrong

Mulitiple Choice questions with More than one answer
6.which of the following is correct
a. Molar heat capacity is 0 for PV^y=Constant
b. Molar heat capacity is infinity in adiabatic process
c. Internal energy does not change in Isothermal Process
d. All the above

7.An ideal gas is taken from state A(P₁,V₁) to state B(P₂,V₂) by two method X & Y..which of the following is correct
a.ΔQ₁-ΔW₁=ΔQ₂-ΔW₂
b.ΔU₁=ΔU₂
c. ΔQ₁+ΔW₁=ΔQ₂+ΔW₂
d. None of the above

8 what is true for black body
a e=a=1
b emit radiation and absorb radiation
c. refract radiation
d none of the above

Assertion and Reason
a) Statement I is true ,statement II is true ,statement II is correct explanation for statement I
b) Statement I is true ,statement II is true ,statement II is not a correct explanation for statement I
c) Statement I is true,Statement II is false
d) Statement I is False,Statement II is True
9. STATEMENT 1:The molar specfic heat capacity of the ideal gas in adiabatic process is zero
STATEMENT 2: Heat transfer is zero in the adiabatic process

10.STATEMENT 1:The internal energy between two state is independent of the process path
STATEMENT 2: Internal enerby is intrinsic property of the system

11.STATEMENT 1:Gases behave like ideal gas at high temperature
STATEMENT 2:Intermolecular forces are neglibible at high temperature



Matrix Match type
12. A gas has five molecules having velocities v,2v,3v,4v,5v.Match the column I to column II
column I
P. (V_rms)²
Q. (V_mean)²
R (V²)_mean
S. (V²)_mean - (V_rms)²

column II
W. 9v²
X. 11v²
Y. 10v²
Z. 0

13. Match the column I to column II
column I
P Adiabatic expansion
Q Isothermal compression
C Constant Presure expansion
D.Constant Volume with increase in pressure

column II
W. ΔW>0
X. ΔQ>0
Y. ΔW<0
Z. ΔQ<0

Linked Comphrension type
A cylindrical vessel with its axis vertical,contains one mole of a molecular gas at
thermodynamic equilibrium.The upper base of the cylinder can be displaced freely.It is made of glass plate.Atmospheric pressure is P₀ and Temperature of the gas is T₀.mass of the glass plate is m.There is no heat transfer through the wall of the vessel.The gas is heated through radiation through the glass plate for some time such that the upper plate gets displaced by Δh.The radius of the cylinder is r.Find the following

1. Final temperature of the gas when it get displaced by Δh
a.T₀ +Δh(P₀πr²+mg)/R
b.T₀ -Δh(P₀πr²+mg)/R
c. Δh(P₀πr²+mg)/R
d. None of the above

2. Find out the workdone by the gas
a.Δh(P₀πr²+mg)
b.mgΔh
c. Δh(P₀πr²-mg)
d. none of the above


3.Find the total heat gained by the gas
a.Δh(P₀πr²+mg)(C_V/R +1)
b.Δh(P₀πr²-mg)(C_V/R +1)
c.Δhmg(C_V/R +1)
d.none of the above