AIIMS Entrance Exam Solved Paper-2018 | AIIMS Mock Tests & Previous Year Question Papers - NEET PDF Download

 Page 1


Physics 
Single correct answer type: 
1. A wooden wedge of mass ?? and inclination angle (?? ) rest on a smooth floor. A block of mass ?? is
kept on wedge. A force ?? is applied on the wedge as shown in the figure such that block remains 
stationary with respect to wedge. So, magnitude of force ?? is  
(A) (??+?? )??tan?? 
(B) ??tan?? 
(C) ???? cos?? 
(D) (??+?? )??cosec?? 
Solution: (A) 
Since, ??= (??+?? )?? …(i) 
So, apply pseudo force on the block by observing, it from the wedge. 
Now, as in free body diagram of block, we get 
???? cos??= ???? sin?? 
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Page 2


Physics 
Single correct answer type: 
1. A wooden wedge of mass ?? and inclination angle (?? ) rest on a smooth floor. A block of mass ?? is
kept on wedge. A force ?? is applied on the wedge as shown in the figure such that block remains 
stationary with respect to wedge. So, magnitude of force ?? is  
(A) (??+?? )??tan?? 
(B) ??tan?? 
(C) ???? cos?? 
(D) (??+?? )??cosec?? 
Solution: (A) 
Since, ??= (??+?? )?? …(i) 
So, apply pseudo force on the block by observing, it from the wedge. 
Now, as in free body diagram of block, we get 
???? cos??= ???? sin?? 
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???=?? sin?? cos?? ???=??tan?? …(ii) 
Now, from equations (i) and (ii), we get 
??= (??+?? )??tan?? 
2. A piece of ice slides down a rough inclined plane at 45
?? inclination in twice the time that it takes to
slide down an identical but frictionless inclined plane. What is the coefficient of friction between ice and 
incline? 
(A) 
3
7cot?? (B) 
4
7cot?? (C) 
3
4cot?? (D) 
7
9cot?? Solution: (C) 
Given, ??= 45
?? ,?? 1
=?? 2
,??=0
On the rough incline, ?? 1
=?? (sin??-??cos?? ) 
?? 1
= time taken 
On the frictionless incline, ?? 2
=?? sin?? 
?? 2
= time taken, ?? 1
=2?? 2
 
??= ???? +
1
2
???? 2
 
?? 1
=0+
1
2
?? (sin??-??cos?? )?? 1
2
?? 2
=0+
1
2
?? sin???? 2
2
As ?? 1
=?? 2
, 
1
2
?? (sin??-??cos?? )?? 1
2
=
1
2
?? sin???? 2
2
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Page 3


Physics 
Single correct answer type: 
1. A wooden wedge of mass ?? and inclination angle (?? ) rest on a smooth floor. A block of mass ?? is
kept on wedge. A force ?? is applied on the wedge as shown in the figure such that block remains 
stationary with respect to wedge. So, magnitude of force ?? is  
(A) (??+?? )??tan?? 
(B) ??tan?? 
(C) ???? cos?? 
(D) (??+?? )??cosec?? 
Solution: (A) 
Since, ??= (??+?? )?? …(i) 
So, apply pseudo force on the block by observing, it from the wedge. 
Now, as in free body diagram of block, we get 
???? cos??= ???? sin?? 
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???=?? sin?? cos?? ???=??tan?? …(ii) 
Now, from equations (i) and (ii), we get 
??= (??+?? )??tan?? 
2. A piece of ice slides down a rough inclined plane at 45
?? inclination in twice the time that it takes to
slide down an identical but frictionless inclined plane. What is the coefficient of friction between ice and 
incline? 
(A) 
3
7cot?? (B) 
4
7cot?? (C) 
3
4cot?? (D) 
7
9cot?? Solution: (C) 
Given, ??= 45
?? ,?? 1
=?? 2
,??=0
On the rough incline, ?? 1
=?? (sin??-??cos?? ) 
?? 1
= time taken 
On the frictionless incline, ?? 2
=?? sin?? 
?? 2
= time taken, ?? 1
=2?? 2
 
??= ???? +
1
2
???? 2
 
?? 1
=0+
1
2
?? (sin??-??cos?? )?? 1
2
?? 2
=0+
1
2
?? sin???? 2
2
As ?? 1
=?? 2
, 
1
2
?? (sin??-??cos?? )?? 1
2
=
1
2
?? sin???? 2
2
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sin??-??cos?? sin?? =
?? 2
2
?? 1
2
?1-??cot??=
?? 2
2
(2?? 2
)
2
?1-??cot??=
1
4
???cot??=1-
1
4
=
3
4
???=
3
4 cot?? 3. A body of mass 5 kg is suspended by a spring balance on an inclined plane as shown in figure.
So, force applied on spring balance is 
(A) 50 ?? 
(B) 25 ?? 
(C) 500 ?? 
(D) 10 ?? 
Solution: (B) 
Acceleration of the body down the rough inclined plane =??sin?? 
? Force applied on spring balance 
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Page 4


Physics 
Single correct answer type: 
1. A wooden wedge of mass ?? and inclination angle (?? ) rest on a smooth floor. A block of mass ?? is
kept on wedge. A force ?? is applied on the wedge as shown in the figure such that block remains 
stationary with respect to wedge. So, magnitude of force ?? is  
(A) (??+?? )??tan?? 
(B) ??tan?? 
(C) ???? cos?? 
(D) (??+?? )??cosec?? 
Solution: (A) 
Since, ??= (??+?? )?? …(i) 
So, apply pseudo force on the block by observing, it from the wedge. 
Now, as in free body diagram of block, we get 
???? cos??= ???? sin?? 
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???=?? sin?? cos?? ???=??tan?? …(ii) 
Now, from equations (i) and (ii), we get 
??= (??+?? )??tan?? 
2. A piece of ice slides down a rough inclined plane at 45
?? inclination in twice the time that it takes to
slide down an identical but frictionless inclined plane. What is the coefficient of friction between ice and 
incline? 
(A) 
3
7cot?? (B) 
4
7cot?? (C) 
3
4cot?? (D) 
7
9cot?? Solution: (C) 
Given, ??= 45
?? ,?? 1
=?? 2
,??=0
On the rough incline, ?? 1
=?? (sin??-??cos?? ) 
?? 1
= time taken 
On the frictionless incline, ?? 2
=?? sin?? 
?? 2
= time taken, ?? 1
=2?? 2
 
??= ???? +
1
2
???? 2
 
?? 1
=0+
1
2
?? (sin??-??cos?? )?? 1
2
?? 2
=0+
1
2
?? sin???? 2
2
As ?? 1
=?? 2
, 
1
2
?? (sin??-??cos?? )?? 1
2
=
1
2
?? sin???? 2
2
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sin??-??cos?? sin?? =
?? 2
2
?? 1
2
?1-??cot??=
?? 2
2
(2?? 2
)
2
?1-??cot??=
1
4
???cot??=1-
1
4
=
3
4
???=
3
4 cot?? 3. A body of mass 5 kg is suspended by a spring balance on an inclined plane as shown in figure.
So, force applied on spring balance is 
(A) 50 ?? 
(B) 25 ?? 
(C) 500 ?? 
(D) 10 ?? 
Solution: (B) 
Acceleration of the body down the rough inclined plane =??sin?? 
? Force applied on spring balance 
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=???? sin??=5× 10×sin30
?? 
=5×10×
1
2
=25 ?? 
4. In the figure, blocks ?? and ?? of masses 2?? and ?? are connected with a string and system is hanged
vertically with the help of a spring. Spring has negligible mass. Find out magnitude of acceleration of 
masses 2?? and ??  just after the instant when the string is cut 
(A) ??,?? 
(B) ??,
?? 2
(C) 
?? 2
,?? 
(D) 
?? 2
,
?? 2
Solution: (C) 
When the system is in equilibrium, then the spring force is 3 ???? .  When the string is cut, then net force 
on block ?? 
=3 ???? -2 ???? =???? 
Hence, acceleration of block ?? at that instant 
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Page 5


Physics 
Single correct answer type: 
1. A wooden wedge of mass ?? and inclination angle (?? ) rest on a smooth floor. A block of mass ?? is
kept on wedge. A force ?? is applied on the wedge as shown in the figure such that block remains 
stationary with respect to wedge. So, magnitude of force ?? is  
(A) (??+?? )??tan?? 
(B) ??tan?? 
(C) ???? cos?? 
(D) (??+?? )??cosec?? 
Solution: (A) 
Since, ??= (??+?? )?? …(i) 
So, apply pseudo force on the block by observing, it from the wedge. 
Now, as in free body diagram of block, we get 
???? cos??= ???? sin?? 
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???=?? sin?? cos?? ???=??tan?? …(ii) 
Now, from equations (i) and (ii), we get 
??= (??+?? )??tan?? 
2. A piece of ice slides down a rough inclined plane at 45
?? inclination in twice the time that it takes to
slide down an identical but frictionless inclined plane. What is the coefficient of friction between ice and 
incline? 
(A) 
3
7cot?? (B) 
4
7cot?? (C) 
3
4cot?? (D) 
7
9cot?? Solution: (C) 
Given, ??= 45
?? ,?? 1
=?? 2
,??=0
On the rough incline, ?? 1
=?? (sin??-??cos?? ) 
?? 1
= time taken 
On the frictionless incline, ?? 2
=?? sin?? 
?? 2
= time taken, ?? 1
=2?? 2
 
??= ???? +
1
2
???? 2
 
?? 1
=0+
1
2
?? (sin??-??cos?? )?? 1
2
?? 2
=0+
1
2
?? sin???? 2
2
As ?? 1
=?? 2
, 
1
2
?? (sin??-??cos?? )?? 1
2
=
1
2
?? sin???? 2
2
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sin??-??cos?? sin?? =
?? 2
2
?? 1
2
?1-??cot??=
?? 2
2
(2?? 2
)
2
?1-??cot??=
1
4
???cot??=1-
1
4
=
3
4
???=
3
4 cot?? 3. A body of mass 5 kg is suspended by a spring balance on an inclined plane as shown in figure.
So, force applied on spring balance is 
(A) 50 ?? 
(B) 25 ?? 
(C) 500 ?? 
(D) 10 ?? 
Solution: (B) 
Acceleration of the body down the rough inclined plane =??sin?? 
? Force applied on spring balance 
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=???? sin??=5× 10×sin30
?? 
=5×10×
1
2
=25 ?? 
4. In the figure, blocks ?? and ?? of masses 2?? and ?? are connected with a string and system is hanged
vertically with the help of a spring. Spring has negligible mass. Find out magnitude of acceleration of 
masses 2?? and ??  just after the instant when the string is cut 
(A) ??,?? 
(B) ??,
?? 2
(C) 
?? 2
,?? 
(D) 
?? 2
,
?? 2
Solution: (C) 
When the system is in equilibrium, then the spring force is 3 ???? .  When the string is cut, then net force 
on block ?? 
=3 ???? -2 ???? =???? 
Hence, acceleration of block ?? at that instant 
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??=
force on block ?? mass of block ?? =
????
2 ?? =
?? 2
When string is cut, then block ?? falls freely with an acceleration equal to ?? . 
5. If the formula, ??=3???? 2
,?? and ?? have dimensions of capacitance and magnetic induction. The
dimensions of ?? in ???????? system are 
(A) [?? -3
?? -2
?? 4
?? 4
]  
(B) [????
2
?? 8
?? 4
] 
(C) [?? -2
?? -3
?? 2
?? 4
]  
(D) [?? -2
?? -2
???? 2
] 
Solution: (A) 
According to question, [?? ]=[?? ]=[?? -1
?? -2
?? 2
?? 2
] and [?? ]=[?? ]=[???? -1
?? -1
] 
?[?? ]=
[?? ]
[?? 2
]
[?? ]=
[?? -1
?? -2
?? 2
?? 2
]
[?? 2
?? -2
?? -2
]
=[?? -3
?? -2
?? 4
?? 4
] 
6. The figure shows a mass ?? on a frictionless surface. It is connected to rigid wall by the mean of a
massless spring of its constant ?? . Initially, the spring is at its natural position. If a force of constant 
magnitude starts acting on the block towards right, then the speed of the block when the deformation in 
spring is ?? , will be 
(A) v
2?? ?? -???? 2
?? (B) v
?? ?? -???? 2
?? (C) v
?? (??-?? )
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