Thermal Properties of Matter: JEE Mains Previous Year Questions (2021-2024) | Physics for JEE Main & Advanced PDF Download

 Page 1


 
2024 
 
Q1 - 2024 (30 Jan Shift 2) 
A block of ice at -10
°
C is slowly heated and converted to steam at 100
°
C. Which of the 
following curves represent the phenomenon qualitatively: 
(1) 
 
(2) 
 
(3) 
Page 2


 
2024 
 
Q1 - 2024 (30 Jan Shift 2) 
A block of ice at -10
°
C is slowly heated and converted to steam at 100
°
C. Which of the 
following curves represent the phenomenon qualitatively: 
(1) 
 
(2) 
 
(3) 
 
(4) 
 
Q2 - 2024 (31 Jan Shift 1) 
Two conductors have the same resistances at 0
°
C but their temperature coefficients of 
resistance are ?? 1
 and ?? 2
. The respective temperature coefficients for their series and 
parallel combinations are : 
(1) ?? 1
+ ?? 2
,
?? 1
+?? 2
2
 
(2) 
?? 1
+?? 2
2
,
?? 1
+?? 2
2
 
(3) ?? 1
+ ?? 2
,
?? 1
?? 2
?? 1
+?? 2
 
(4) 
?? 1
+?? 2
2
,?? 1
+ ?? 2
 
Page 3


 
2024 
 
Q1 - 2024 (30 Jan Shift 2) 
A block of ice at -10
°
C is slowly heated and converted to steam at 100
°
C. Which of the 
following curves represent the phenomenon qualitatively: 
(1) 
 
(2) 
 
(3) 
 
(4) 
 
Q2 - 2024 (31 Jan Shift 1) 
Two conductors have the same resistances at 0
°
C but their temperature coefficients of 
resistance are ?? 1
 and ?? 2
. The respective temperature coefficients for their series and 
parallel combinations are : 
(1) ?? 1
+ ?? 2
,
?? 1
+?? 2
2
 
(2) 
?? 1
+?? 2
2
,
?? 1
+?? 2
2
 
(3) ?? 1
+ ?? 2
,
?? 1
?? 2
?? 1
+?? 2
 
(4) 
?? 1
+?? 2
2
,?? 1
+ ?? 2
 
Answer Key 
Q1 (4) 
Q2 (2) 
 
Solutions 
Q1 
Most of the students will think no option is correct but we will give the benefit of doubt to 
NTA since no coordinates are mentioned. In transition we should have two horizontal 
lines and they assumed the starting point is -10. 
 
Q2 
Series: 
R
eq
=R
1
+R
2
 
2R 1+ ?? eq
??? =R 1+ ?? 1
??? +R 1+ ?? 2
???  
2R 1+ ?? eq 
??? =2R+ ?? 1
+ ?? 2
 R??? 
Parallel: 
1
?? eq
=
1
?? 1
+
1
?? 2
 
Page 4


 
2024 
 
Q1 - 2024 (30 Jan Shift 2) 
A block of ice at -10
°
C is slowly heated and converted to steam at 100
°
C. Which of the 
following curves represent the phenomenon qualitatively: 
(1) 
 
(2) 
 
(3) 
 
(4) 
 
Q2 - 2024 (31 Jan Shift 1) 
Two conductors have the same resistances at 0
°
C but their temperature coefficients of 
resistance are ?? 1
 and ?? 2
. The respective temperature coefficients for their series and 
parallel combinations are : 
(1) ?? 1
+ ?? 2
,
?? 1
+?? 2
2
 
(2) 
?? 1
+?? 2
2
,
?? 1
+?? 2
2
 
(3) ?? 1
+ ?? 2
,
?? 1
?? 2
?? 1
+?? 2
 
(4) 
?? 1
+?? 2
2
,?? 1
+ ?? 2
 
Answer Key 
Q1 (4) 
Q2 (2) 
 
Solutions 
Q1 
Most of the students will think no option is correct but we will give the benefit of doubt to 
NTA since no coordinates are mentioned. In transition we should have two horizontal 
lines and they assumed the starting point is -10. 
 
Q2 
Series: 
R
eq
=R
1
+R
2
 
2R 1+ ?? eq
??? =R 1+ ?? 1
??? +R 1+ ?? 2
???  
2R 1+ ?? eq 
??? =2R+ ?? 1
+ ?? 2
 R??? 
Parallel: 
1
?? eq
=
1
?? 1
+
1
?? 2
 
1
?? 2
 1+ ?? eq
??? 
=
1
R 1+ ?? 1
??? 
+
1
R 1+ ?? 2
??? 
 
2  1+ ?? 1
???  1+ ?? 2
???   
= 2+ ?? 1
+ ?? 2
 ???  1+ ?? eq
???  
2 1+ ?? 1
??? + ?? 2
??? + ?? 1
?? 2
???  
= 2+2?? eq 
??? + ?? 1
+ ?? 2
 ??? + ?? eq 
 ?? 1
+ ?? 2
 ??? 2
 
Neglecting small terms 
2+2 ?? 1
+ ?? 2
 ??? =2+2?? eq 
??? + ?? 1
+ ?? 2
 ??? 
 ?? 1
+ ?? 2
 ??? =2?? eq
??? 
?? eq 
=
?? 1
+ ?? 2
2
 
Page 5


 
2024 
 
Q1 - 2024 (30 Jan Shift 2) 
A block of ice at -10
°
C is slowly heated and converted to steam at 100
°
C. Which of the 
following curves represent the phenomenon qualitatively: 
(1) 
 
(2) 
 
(3) 
 
(4) 
 
Q2 - 2024 (31 Jan Shift 1) 
Two conductors have the same resistances at 0
°
C but their temperature coefficients of 
resistance are ?? 1
 and ?? 2
. The respective temperature coefficients for their series and 
parallel combinations are : 
(1) ?? 1
+ ?? 2
,
?? 1
+?? 2
2
 
(2) 
?? 1
+?? 2
2
,
?? 1
+?? 2
2
 
(3) ?? 1
+ ?? 2
,
?? 1
?? 2
?? 1
+?? 2
 
(4) 
?? 1
+?? 2
2
,?? 1
+ ?? 2
 
Answer Key 
Q1 (4) 
Q2 (2) 
 
Solutions 
Q1 
Most of the students will think no option is correct but we will give the benefit of doubt to 
NTA since no coordinates are mentioned. In transition we should have two horizontal 
lines and they assumed the starting point is -10. 
 
Q2 
Series: 
R
eq
=R
1
+R
2
 
2R 1+ ?? eq
??? =R 1+ ?? 1
??? +R 1+ ?? 2
???  
2R 1+ ?? eq 
??? =2R+ ?? 1
+ ?? 2
 R??? 
Parallel: 
1
?? eq
=
1
?? 1
+
1
?? 2
 
1
?? 2
 1+ ?? eq
??? 
=
1
R 1+ ?? 1
??? 
+
1
R 1+ ?? 2
??? 
 
2  1+ ?? 1
???  1+ ?? 2
???   
= 2+ ?? 1
+ ?? 2
 ???  1+ ?? eq
???  
2 1+ ?? 1
??? + ?? 2
??? + ?? 1
?? 2
???  
= 2+2?? eq 
??? + ?? 1
+ ?? 2
 ??? + ?? eq 
 ?? 1
+ ?? 2
 ??? 2
 
Neglecting small terms 
2+2 ?? 1
+ ?? 2
 ??? =2+2?? eq 
??? + ?? 1
+ ?? 2
 ??? 
 ?? 1
+ ?? 2
 ??? =2?? eq
??? 
?? eq 
=
?? 1
+ ?? 2
2
 
Numerical 
 
20 m stretched through 2 cm is  80 J. The cross-sectional area 
of the wire is __________ mm2. 
JEE Main 2023 (Online) 13th April Morning Shift 
Q.3. Glycerine of density   1.25×103 kg m-3 is fl owing through the 
conical section of pipe The area of cross-section of the pipe at 
its ends are  10 cm2 and  5 cm2 and pressure drop across its 
length is  3 Nm-2. The rate of flo w of glycerin through the pipe 
is   x×10-5 m3 s-1. The value of x is ___________. 
Q.1. There is an air bubble of radius 1.0 mm in a liquid of 
surface tension 0.075 Nm-1 and density   1000 kg m-3 at a 
depth of 10 cm below the free surface. The amount by which 
the pressure inside the bubble is greater than the atmospheric 
pressure is _________   
JEE Main 2023 (Online) 15th April Morning Shift 
Q.2. The elastic potential energy stored in a steel wire of length 
JEE Main 2023 (Online) 12th April Morning Shift 
Q.4. The surface tension of soap solution is  3.5×10-2 Nm-1. 
The amount of work done required to increase the radius of 
soap bubble from 10 cm to  20 cm is _________   × 10-4 J.