AIIMS Entrance Exam Solved Paper - 2015 | AIIMS Mock Tests & Previous Year Question Papers - NEET PDF Download

 Page 1


AIIMS
Physics
1. A particle is projected with an angle of projection 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x
The angle of projection can be given by
(a) 
2 2
1
P PQ Q
tan
PQ
-
? ?
+ +
? ?
? ?
? ?
(b) 
2 2
1
P Q PQ
tan
PQ
-
? ?
+ -
? ?
? ?
? ?
(c) 
2 2
1
P Q
tan
2PQ
-
? ?
+
? ?
? ?
? ?
  
(d) 
2 2
1
P Q PQ
sin
2PQ
-
? ?
+ +
? ?
? ?
? ?
Ans: (a) 
2. Determine the height above the dashed line XX
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30
(a) 10 m 
(b) 7.1 m 
(c) 5 m 
(d) 3.2 m 
Ans: (d) 
3. If the magnetizing field on a ferromagnetic material is increased, its 
permeability 
AIIMS MBBS Entrance Exam 2015 
Physics (Solved Paper) 
A particle is projected with an angle of projection ? to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x-axis and y-axis respectively). 
The angle of projection can be given by 
2 2
P PQ Q
PQ
? ?
+ +
? ?
? ?
? ?
  
P Q PQ
PQ
? ?
? ?
? ?
? ?
  
P Q PQ
2PQ
? ?
? ?
? ?
? ?
  
Determine the height above the dashed line XX' attained by the wate
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30°. 
 
If the magnetizing field on a ferromagnetic material is increased, its 
to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
' attained by the water stream 
coming out through the hole is situated at point B in the diagram given below. 
If the magnetizing field on a ferromagnetic material is increased, its 
Page 2


AIIMS
Physics
1. A particle is projected with an angle of projection 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x
The angle of projection can be given by
(a) 
2 2
1
P PQ Q
tan
PQ
-
? ?
+ +
? ?
? ?
? ?
(b) 
2 2
1
P Q PQ
tan
PQ
-
? ?
+ -
? ?
? ?
? ?
(c) 
2 2
1
P Q
tan
2PQ
-
? ?
+
? ?
? ?
? ?
  
(d) 
2 2
1
P Q PQ
sin
2PQ
-
? ?
+ +
? ?
? ?
? ?
Ans: (a) 
2. Determine the height above the dashed line XX
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30
(a) 10 m 
(b) 7.1 m 
(c) 5 m 
(d) 3.2 m 
Ans: (d) 
3. If the magnetizing field on a ferromagnetic material is increased, its 
permeability 
AIIMS MBBS Entrance Exam 2015 
Physics (Solved Paper) 
A particle is projected with an angle of projection ? to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x-axis and y-axis respectively). 
The angle of projection can be given by 
2 2
P PQ Q
PQ
? ?
+ +
? ?
? ?
? ?
  
P Q PQ
PQ
? ?
? ?
? ?
? ?
  
P Q PQ
2PQ
? ?
? ?
? ?
? ?
  
Determine the height above the dashed line XX' attained by the wate
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30°. 
 
If the magnetizing field on a ferromagnetic material is increased, its 
to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
' attained by the water stream 
coming out through the hole is situated at point B in the diagram given below. 
If the magnetizing field on a ferromagnetic material is increased, its 
(a) decreased 
(b) increased 
(c) is unaffected 
(d) may be increased or decreased 
Ans: (a) 
4. A ball is dropped from a bridge 122.5 m above a river. After the ball has been 
falling for 2s, a second  ball is thrown straight down after it. What must the 
initial velocity of the second ball be so that  both hit the water at the same 
time? 
(a) 40 m/s 
(b) 55.5 m/s 
(c) 26.1 m/s 
(d) 9.6 m/s 
Ans: (c) 
5. A body of mass 40 kg resting on rough horizontal surface is subjected to a 
force P which is just enough to start the motion of the body. If µ
s
 = 5,µx = 0.4, 
g = 10 m/s
2
 and the force P is continuously applied on the body, then the 
acceleration of the body is 
(a) zero  
(b) 
2
1 m / s  
(c) 
2
2 m / s  
(d) 
2
2.4 m / s  
Ans: (b) 
6. The self inductance of a coil having 500 turns is 50 mH. The magnetic flux 
through the cross-sectional area of the coil while current through it is 8 mA is 
found to be 
(a) 
4
4 10 Wb
-
×  
(b) 0.04 Wb 
(c) 4 µWb 
(d) 40 mWb 
Ans: (a) 
7. A uniform metallic rod rotates about its perpendicular bisector with constant 
angular speed. If it is heated  uniformly to raise its temperature slightly, then 
Page 3


AIIMS
Physics
1. A particle is projected with an angle of projection 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x
The angle of projection can be given by
(a) 
2 2
1
P PQ Q
tan
PQ
-
? ?
+ +
? ?
? ?
? ?
(b) 
2 2
1
P Q PQ
tan
PQ
-
? ?
+ -
? ?
? ?
? ?
(c) 
2 2
1
P Q
tan
2PQ
-
? ?
+
? ?
? ?
? ?
  
(d) 
2 2
1
P Q PQ
sin
2PQ
-
? ?
+ +
? ?
? ?
? ?
Ans: (a) 
2. Determine the height above the dashed line XX
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30
(a) 10 m 
(b) 7.1 m 
(c) 5 m 
(d) 3.2 m 
Ans: (d) 
3. If the magnetizing field on a ferromagnetic material is increased, its 
permeability 
AIIMS MBBS Entrance Exam 2015 
Physics (Solved Paper) 
A particle is projected with an angle of projection ? to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x-axis and y-axis respectively). 
The angle of projection can be given by 
2 2
P PQ Q
PQ
? ?
+ +
? ?
? ?
? ?
  
P Q PQ
PQ
? ?
? ?
? ?
? ?
  
P Q PQ
2PQ
? ?
? ?
? ?
? ?
  
Determine the height above the dashed line XX' attained by the wate
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30°. 
 
If the magnetizing field on a ferromagnetic material is increased, its 
to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
' attained by the water stream 
coming out through the hole is situated at point B in the diagram given below. 
If the magnetizing field on a ferromagnetic material is increased, its 
(a) decreased 
(b) increased 
(c) is unaffected 
(d) may be increased or decreased 
Ans: (a) 
4. A ball is dropped from a bridge 122.5 m above a river. After the ball has been 
falling for 2s, a second  ball is thrown straight down after it. What must the 
initial velocity of the second ball be so that  both hit the water at the same 
time? 
(a) 40 m/s 
(b) 55.5 m/s 
(c) 26.1 m/s 
(d) 9.6 m/s 
Ans: (c) 
5. A body of mass 40 kg resting on rough horizontal surface is subjected to a 
force P which is just enough to start the motion of the body. If µ
s
 = 5,µx = 0.4, 
g = 10 m/s
2
 and the force P is continuously applied on the body, then the 
acceleration of the body is 
(a) zero  
(b) 
2
1 m / s  
(c) 
2
2 m / s  
(d) 
2
2.4 m / s  
Ans: (b) 
6. The self inductance of a coil having 500 turns is 50 mH. The magnetic flux 
through the cross-sectional area of the coil while current through it is 8 mA is 
found to be 
(a) 
4
4 10 Wb
-
×  
(b) 0.04 Wb 
(c) 4 µWb 
(d) 40 mWb 
Ans: (a) 
7. A uniform metallic rod rotates about its perpendicular bisector with constant 
angular speed. If it is heated  uniformly to raise its temperature slightly, then 
(a) its speed of rotation increases
(b) its speed of rotation decreases
(c) its speed of rotation remains same
(d) its speed increases because its moment of inertia increases
Ans: (b) 
8. A uniform disc is acted by two equal forces of magnitude F. One of them, acts 
tangentially to the disc, while other one is acting at the central point of the 
disc. The friction between disc surface and ground surface is nF. If r be the 
radius of the disc, then the value of n would be (in N)
(a) 0 
(b) 1.2 
(c) 2.0 
(d) 3.2 
Ans: (a) 
9. While keeping area of cross
and length of solenoid one  both doubled. The self inductance of the coil will 
be 
(a) halved 
(b) doubled 
(c) 1/4times the original value
(d) unaffected 
Ans: (b) 
10. Consider the circular loop having current i and with central point O. The 
magnetic field at the centra
(a) 
0
2 i
actingdownward
3 R
µ
p
its speed of rotation increases 
its speed of rotation decreases 
of rotation remains same 
its speed increases because its moment of inertia increases 
A uniform disc is acted by two equal forces of magnitude F. One of them, acts 
tangentially to the disc, while other one is acting at the central point of the 
disc. The friction between disc surface and ground surface is nF. If r be the 
radius of the disc, then the value of n would be (in N) 
While keeping area of cross-section of a solenoid same, the number of turns 
gth of solenoid one  both doubled. The self inductance of the coil will 
1/4times the original value 
Consider the circular loop having current i and with central point O. The 
magnetic field at the central point O is 
 
actingdownward  
 
A uniform disc is acted by two equal forces of magnitude F. One of them, acts 
tangentially to the disc, while other one is acting at the central point of the 
disc. The friction between disc surface and ground surface is nF. If r be the 
section of a solenoid same, the number of turns 
gth of solenoid one  both doubled. The self inductance of the coil will 
Consider the circular loop having current i and with central point O. The 
Page 4


AIIMS
Physics
1. A particle is projected with an angle of projection 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x
The angle of projection can be given by
(a) 
2 2
1
P PQ Q
tan
PQ
-
? ?
+ +
? ?
? ?
? ?
(b) 
2 2
1
P Q PQ
tan
PQ
-
? ?
+ -
? ?
? ?
? ?
(c) 
2 2
1
P Q
tan
2PQ
-
? ?
+
? ?
? ?
? ?
  
(d) 
2 2
1
P Q PQ
sin
2PQ
-
? ?
+ +
? ?
? ?
? ?
Ans: (a) 
2. Determine the height above the dashed line XX
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30
(a) 10 m 
(b) 7.1 m 
(c) 5 m 
(d) 3.2 m 
Ans: (d) 
3. If the magnetizing field on a ferromagnetic material is increased, its 
permeability 
AIIMS MBBS Entrance Exam 2015 
Physics (Solved Paper) 
A particle is projected with an angle of projection ? to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x-axis and y-axis respectively). 
The angle of projection can be given by 
2 2
P PQ Q
PQ
? ?
+ +
? ?
? ?
? ?
  
P Q PQ
PQ
? ?
? ?
? ?
? ?
  
P Q PQ
2PQ
? ?
? ?
? ?
? ?
  
Determine the height above the dashed line XX' attained by the wate
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30°. 
 
If the magnetizing field on a ferromagnetic material is increased, its 
to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
' attained by the water stream 
coming out through the hole is situated at point B in the diagram given below. 
If the magnetizing field on a ferromagnetic material is increased, its 
(a) decreased 
(b) increased 
(c) is unaffected 
(d) may be increased or decreased 
Ans: (a) 
4. A ball is dropped from a bridge 122.5 m above a river. After the ball has been 
falling for 2s, a second  ball is thrown straight down after it. What must the 
initial velocity of the second ball be so that  both hit the water at the same 
time? 
(a) 40 m/s 
(b) 55.5 m/s 
(c) 26.1 m/s 
(d) 9.6 m/s 
Ans: (c) 
5. A body of mass 40 kg resting on rough horizontal surface is subjected to a 
force P which is just enough to start the motion of the body. If µ
s
 = 5,µx = 0.4, 
g = 10 m/s
2
 and the force P is continuously applied on the body, then the 
acceleration of the body is 
(a) zero  
(b) 
2
1 m / s  
(c) 
2
2 m / s  
(d) 
2
2.4 m / s  
Ans: (b) 
6. The self inductance of a coil having 500 turns is 50 mH. The magnetic flux 
through the cross-sectional area of the coil while current through it is 8 mA is 
found to be 
(a) 
4
4 10 Wb
-
×  
(b) 0.04 Wb 
(c) 4 µWb 
(d) 40 mWb 
Ans: (a) 
7. A uniform metallic rod rotates about its perpendicular bisector with constant 
angular speed. If it is heated  uniformly to raise its temperature slightly, then 
(a) its speed of rotation increases
(b) its speed of rotation decreases
(c) its speed of rotation remains same
(d) its speed increases because its moment of inertia increases
Ans: (b) 
8. A uniform disc is acted by two equal forces of magnitude F. One of them, acts 
tangentially to the disc, while other one is acting at the central point of the 
disc. The friction between disc surface and ground surface is nF. If r be the 
radius of the disc, then the value of n would be (in N)
(a) 0 
(b) 1.2 
(c) 2.0 
(d) 3.2 
Ans: (a) 
9. While keeping area of cross
and length of solenoid one  both doubled. The self inductance of the coil will 
be 
(a) halved 
(b) doubled 
(c) 1/4times the original value
(d) unaffected 
Ans: (b) 
10. Consider the circular loop having current i and with central point O. The 
magnetic field at the centra
(a) 
0
2 i
actingdownward
3 R
µ
p
its speed of rotation increases 
its speed of rotation decreases 
of rotation remains same 
its speed increases because its moment of inertia increases 
A uniform disc is acted by two equal forces of magnitude F. One of them, acts 
tangentially to the disc, while other one is acting at the central point of the 
disc. The friction between disc surface and ground surface is nF. If r be the 
radius of the disc, then the value of n would be (in N) 
While keeping area of cross-section of a solenoid same, the number of turns 
gth of solenoid one  both doubled. The self inductance of the coil will 
1/4times the original value 
Consider the circular loop having current i and with central point O. The 
magnetic field at the central point O is 
 
actingdownward  
 
A uniform disc is acted by two equal forces of magnitude F. One of them, acts 
tangentially to the disc, while other one is acting at the central point of the 
disc. The friction between disc surface and ground surface is nF. If r be the 
section of a solenoid same, the number of turns 
gth of solenoid one  both doubled. The self inductance of the coil will 
Consider the circular loop having current i and with central point O. The 
(b) 
0
5 i
actingdownward
12R
µ
(c) 
0
6 i
actingdownward
11R
µ
(d) 
0
3 i
acting upward
7R
µ
Ans: (b) 
11. The Boolean expression 
circuit, represents 
(a) AND gate 
(b) NAND gate 
(c) NOT gate 
(d) OR gate 
Ans: (d) 
12. Consider the diagram shown below.
A voltmeter of resistance 150 
drop across B and C measured by voltmeter is
(a) 29 V 
(b) 27 V 
(c) 31 V 
(d) 30 V 
Ans: (c) 
13. Two spherical nuclei have mass numbers 216 and 64 with their radii R
R
2
 respectively. The ratio, 
(a) 3 : 2 
(b) 1 : 3 
(c) 1 : 2 
(d) 2 : 3 
actingdownward  
actingdownward  
acting upward  
The Boolean expression P PQ, + where P and Q are the inputs of the logic 
Consider the diagram shown below. 
 
A voltmeter of resistance 150 O is connected across A and B. The potential 
drop across B and C measured by voltmeter is 
Two spherical nuclei have mass numbers 216 and 64 with their radii R
respectively. The ratio, 
1
2
R
R
 is equal to 
where P and Q are the inputs of the logic 
is connected across A and B. The potential 
Two spherical nuclei have mass numbers 216 and 64 with their radii R
1
 and 
Page 5


AIIMS
Physics
1. A particle is projected with an angle of projection 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x
The angle of projection can be given by
(a) 
2 2
1
P PQ Q
tan
PQ
-
? ?
+ +
? ?
? ?
? ?
(b) 
2 2
1
P Q PQ
tan
PQ
-
? ?
+ -
? ?
? ?
? ?
(c) 
2 2
1
P Q
tan
2PQ
-
? ?
+
? ?
? ?
? ?
  
(d) 
2 2
1
P Q PQ
sin
2PQ
-
? ?
+ +
? ?
? ?
? ?
Ans: (a) 
2. Determine the height above the dashed line XX
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30
(a) 10 m 
(b) 7.1 m 
(c) 5 m 
(d) 3.2 m 
Ans: (d) 
3. If the magnetizing field on a ferromagnetic material is increased, its 
permeability 
AIIMS MBBS Entrance Exam 2015 
Physics (Solved Paper) 
A particle is projected with an angle of projection ? to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
axes (can be treated as x-axis and y-axis respectively). 
The angle of projection can be given by 
2 2
P PQ Q
PQ
? ?
+ +
? ?
? ?
? ?
  
P Q PQ
PQ
? ?
? ?
? ?
? ?
  
P Q PQ
2PQ
? ?
? ?
? ?
? ?
  
Determine the height above the dashed line XX' attained by the wate
coming out through the hole is situated at point B in the diagram given below. 
Given that h = 10 m, L = 2 m and d = 30°. 
 
If the magnetizing field on a ferromagnetic material is increased, its 
to the horizontal line 
passing through the points (P, Q) and (Q, P) referred to horizontal and vertical 
' attained by the water stream 
coming out through the hole is situated at point B in the diagram given below. 
If the magnetizing field on a ferromagnetic material is increased, its 
(a) decreased 
(b) increased 
(c) is unaffected 
(d) may be increased or decreased 
Ans: (a) 
4. A ball is dropped from a bridge 122.5 m above a river. After the ball has been 
falling for 2s, a second  ball is thrown straight down after it. What must the 
initial velocity of the second ball be so that  both hit the water at the same 
time? 
(a) 40 m/s 
(b) 55.5 m/s 
(c) 26.1 m/s 
(d) 9.6 m/s 
Ans: (c) 
5. A body of mass 40 kg resting on rough horizontal surface is subjected to a 
force P which is just enough to start the motion of the body. If µ
s
 = 5,µx = 0.4, 
g = 10 m/s
2
 and the force P is continuously applied on the body, then the 
acceleration of the body is 
(a) zero  
(b) 
2
1 m / s  
(c) 
2
2 m / s  
(d) 
2
2.4 m / s  
Ans: (b) 
6. The self inductance of a coil having 500 turns is 50 mH. The magnetic flux 
through the cross-sectional area of the coil while current through it is 8 mA is 
found to be 
(a) 
4
4 10 Wb
-
×  
(b) 0.04 Wb 
(c) 4 µWb 
(d) 40 mWb 
Ans: (a) 
7. A uniform metallic rod rotates about its perpendicular bisector with constant 
angular speed. If it is heated  uniformly to raise its temperature slightly, then 
(a) its speed of rotation increases
(b) its speed of rotation decreases
(c) its speed of rotation remains same
(d) its speed increases because its moment of inertia increases
Ans: (b) 
8. A uniform disc is acted by two equal forces of magnitude F. One of them, acts 
tangentially to the disc, while other one is acting at the central point of the 
disc. The friction between disc surface and ground surface is nF. If r be the 
radius of the disc, then the value of n would be (in N)
(a) 0 
(b) 1.2 
(c) 2.0 
(d) 3.2 
Ans: (a) 
9. While keeping area of cross
and length of solenoid one  both doubled. The self inductance of the coil will 
be 
(a) halved 
(b) doubled 
(c) 1/4times the original value
(d) unaffected 
Ans: (b) 
10. Consider the circular loop having current i and with central point O. The 
magnetic field at the centra
(a) 
0
2 i
actingdownward
3 R
µ
p
its speed of rotation increases 
its speed of rotation decreases 
of rotation remains same 
its speed increases because its moment of inertia increases 
A uniform disc is acted by two equal forces of magnitude F. One of them, acts 
tangentially to the disc, while other one is acting at the central point of the 
disc. The friction between disc surface and ground surface is nF. If r be the 
radius of the disc, then the value of n would be (in N) 
While keeping area of cross-section of a solenoid same, the number of turns 
gth of solenoid one  both doubled. The self inductance of the coil will 
1/4times the original value 
Consider the circular loop having current i and with central point O. The 
magnetic field at the central point O is 
 
actingdownward  
 
A uniform disc is acted by two equal forces of magnitude F. One of them, acts 
tangentially to the disc, while other one is acting at the central point of the 
disc. The friction between disc surface and ground surface is nF. If r be the 
section of a solenoid same, the number of turns 
gth of solenoid one  both doubled. The self inductance of the coil will 
Consider the circular loop having current i and with central point O. The 
(b) 
0
5 i
actingdownward
12R
µ
(c) 
0
6 i
actingdownward
11R
µ
(d) 
0
3 i
acting upward
7R
µ
Ans: (b) 
11. The Boolean expression 
circuit, represents 
(a) AND gate 
(b) NAND gate 
(c) NOT gate 
(d) OR gate 
Ans: (d) 
12. Consider the diagram shown below.
A voltmeter of resistance 150 
drop across B and C measured by voltmeter is
(a) 29 V 
(b) 27 V 
(c) 31 V 
(d) 30 V 
Ans: (c) 
13. Two spherical nuclei have mass numbers 216 and 64 with their radii R
R
2
 respectively. The ratio, 
(a) 3 : 2 
(b) 1 : 3 
(c) 1 : 2 
(d) 2 : 3 
actingdownward  
actingdownward  
acting upward  
The Boolean expression P PQ, + where P and Q are the inputs of the logic 
Consider the diagram shown below. 
 
A voltmeter of resistance 150 O is connected across A and B. The potential 
drop across B and C measured by voltmeter is 
Two spherical nuclei have mass numbers 216 and 64 with their radii R
respectively. The ratio, 
1
2
R
R
 is equal to 
where P and Q are the inputs of the logic 
is connected across A and B. The potential 
Two spherical nuclei have mass numbers 216 and 64 with their radii R
1
 and 
Ans: (a) 
14. A massless rod S having length 2l has equal point masses attached to its two 
ends as shown in figure. The rod is rotating about an axis passing through its 
centre and making angle 
momentum of rod i.e. 
dL
 
(a) 
3 2
2 m I sin cos ? ?· ?
(b) 
2 2
mI sin 2 ? ?  
(c) 
2
mI sin 2?  
(d) 
1/2 1/2
m I sin cos ? ?· ?
Ans: (b) 
15. A semiconductor having el
if its intrinsic carrier density is n
concentration P for which the conductivity will be minimum at a given 
temperature? 
(a) 
n
i
p
n
µ
µ
  
A massless rod S having length 2l has equal point masses attached to its two 
ends as shown in figure. The rod is rotating about an axis passing through its 
centre and making angle a with the axis. The magnitude of change of 
dL
dt
 equals 
2 m I sin cos ? ?· ?  
m I sin cos ? ?· ?  
A semiconductor having electron and hole motilities µ
n
 and µ
p
 respectively.
if its intrinsic carrier density is n
i
, then what will be the value of hole 
concentration P for which the conductivity will be minimum at a given 
A massless rod S having length 2l has equal point masses attached to its two 
ends as shown in figure. The rod is rotating about an axis passing through its 
the axis. The magnitude of change of 
respectively. 
, then what will be the value of hole 
concentration P for which the conductivity will be minimum at a given