jee-main

Papers (169)
2025
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2024
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2023
session1_01feb_shift1 24 session1_01feb_shift2 3 session1_24jan_shift1 13 session1_24jan_shift2 12 session1_25jan_shift1 28 session1_25jan_shift2 27 session1_29jan_shift1 29 session1_29jan_shift2 28 session1_30jan_shift1 2 session1_30jan_shift2 29 session1_31jan_shift1 28 session1_31jan_shift2 17 session2_06apr_shift1 5 session2_06apr_shift2 17 session2_08apr_shift1 29 session2_08apr_shift2 14 session2_10apr_shift1 29 session2_10apr_shift2 15 session2_11apr_shift1 5 session2_11apr_shift2 4 session2_12apr_shift1 26 session2_13apr_shift1 25 session2_13apr_shift2 20 session2_15apr_shift1 20
2022
session1_24jun_shift1 20 session1_24jun_shift2 25 session1_25jun_shift1 14 session1_25jun_shift2 17 session1_26jun_shift1 26 session1_26jun_shift2 23 session1_27jun_shift1 4 session1_27jun_shift2 29 session1_28jun_shift1 13 session1_29jun_shift1 20 session1_29jun_shift2 5 session2_25jul_shift1 29 session2_25jul_shift2 22 session2_26jul_shift1 29 session2_26jul_shift2 24 session2_27jul_shift1 26 session2_27jul_shift2 29 session2_28jul_shift1 12 session2_28jul_shift2 29 session2_29jul_shift1 18 session2_29jul_shift2 17
2021
session1_24feb_shift1 10 session1_24feb_shift2 7 session1_25feb_shift1 29 session1_25feb_shift2 29 session1_26feb_shift2 17 session2_16mar_shift1 29 session2_16mar_shift2 15 session2_17mar_shift1 20 session2_17mar_shift2 24 session2_18mar_shift1 12 session2_18mar_shift2 11 session3_20jul_shift1 30 session3_20jul_shift2 29 session3_22jul_shift1 7 session3_25jul_shift1 2 session3_25jul_shift2 15 session3_27jul_shift1 3 session3_27jul_shift2 4 session4_01sep_shift2 11 session4_26aug_shift1 5 session4_26aug_shift2 2 session4_27aug_shift1 3 session4_27aug_shift2 28 session4_31aug_shift1 28 session4_31aug_shift2 4
2020
session1_07jan_shift1 26 session1_07jan_shift2 17 session1_08jan_shift1 5 session1_08jan_shift2 12 session1_09jan_shift1 22 session1_09jan_shift2 18 session2_02sep_shift1 19 session2_02sep_shift2 17 session2_03sep_shift1 21 session2_03sep_shift2 9 session2_04sep_shift1 10 session2_04sep_shift2 24 session2_05sep_shift1 23 session2_05sep_shift2 27 session2_06sep_shift1 13 session2_06sep_shift2 10
2019
session1_09jan_shift1 6 session1_09jan_shift2 29 session1_10jan_shift1 30 session1_10jan_shift2 12 session1_11jan_shift1 6 session1_11jan_shift2 5 session1_12jan_shift1 10 session1_12jan_shift2 20 session2_08apr_shift1 29 session2_08apr_shift2 29 session2_09apr_shift1 29 session2_09apr_shift2 29 session2_10apr_shift1 2 session2_10apr_shift2 3 session2_12apr_shift1 3 session2_12apr_shift2 9
2018
08apr 29 15apr 28 15apr_shift1 28 15apr_shift2 2 16apr 15
2017
02apr 28 08apr 29 09apr 30
2016
03apr 30 09apr 30 10apr 28
2015
04apr 29 10apr 30
2014
06apr 28 09apr 28 11apr 4 12apr 5 19apr 29
2013
07apr 29 09apr 14 22apr 5 23apr 14 25apr 13
2012
07may 18 12may 22 19may 13 26may 17 offline 30
2011
jee-main_2011.pdf 13
2010
jee-main_2010.pdf 1
2009
jee-main_2009.pdf 1
2008
jee-main_2008.pdf 1
2007
jee-main_2007.pdf 38
2005
jee-main_2005.pdf 19
2004
jee-main_2004.pdf 11
2003
jee-main_2003.pdf 9
2002
jee-main_2002.pdf 8
2004 jee-main_2004.pdf

11 maths questions

Q3 Constant acceleration (SUVAT) Free-fall and vertical drop View
A ball is released from the top of a tower of height $h$ metres. It takes $T$ seconds to reach the ground. What is the position of the ball in $\mathrm { T } / 3$ seconds?
(1) $\mathrm { h } / 9$ metres from the ground
(2) $7 \mathrm {~h} / 9$ metres from the ground
(3) $8 \mathrm {~h} / 9$ metres from the ground
(4) $17 \mathrm {~h} / 18$ metres from the ground.
Q4 Constant acceleration (SUVAT) Braking and stopping distance View
An automobile travelling with speed of $60 \mathrm {~km} / \mathrm { h }$, can brake to stop within a distance of 20 cm . If the car is going twice as fast, i.e $120 \mathrm {~km} / \mathrm { h }$, the stopping distance will be
(1) 20 m
(2) 40 m
(3) 60 m
(4) 80 m
Q5 Projectiles Finding Angle of Projection from Given Conditions View
A ball is thrown from a point with a speed $v _ { 0 }$ at an angle of projection $\theta$. From the same point and at the same instant person starts running with a constant speed $v _ { 0 } / 2$ to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?
(1) yes, $60 ^ { \circ }$
(2) yes, $30 ^ { \circ }$
(3) no
(4) yes, $45 ^ { \circ }$
Q6 Projectiles Range and Complementary Angle Relationships View
A projectile can have the same range $R$ for two angles of projection. If $T _ { 1 }$ and $T _ { 2 }$ be the time of flights in the two cases, then the product of the two time of flights is directly proportional to
(1) $1 / R ^ { 2 }$
(2) $1 / R$
(3) R
(4) $R ^ { 2 }$
Q7 Newton's laws and connected particles Force from velocity change (Newton's second law with impulse/momentum) View
If $t _ { 1 }$ and $t _ { 2 }$ are the times of flight of two particles having the same initial velocity $u$ and range R on the horizontal, then $t _ { 1 } ^ { 2 } + t _ { 2 } ^ { 2 }$ is equal to
(1) $\frac { u ^ { 2 } } { g }$
(2) $\frac { 4 u ^ { 2 } } { g ^ { 2 } }$
(3) $\frac { u ^ { 2 } } { 2 g }$
(4) 1
Q8 Pulley systems View
A machine gun fires a bullet of mass 40 g with a velocity $1200 \mathrm {~ms} ^ { - 1 }$. The man holding it can exert a maximum force of 144 N on the gun. How many bullets can he fire per second at the most?
(1) one
(2) four
(3) two
(4) three
Q9 Motion on a slope View
Two masses $m _ { 1 } = 5 \mathrm {~kg}$ and $m _ { 2 } = 4.8 \mathrm {~kg}$ tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift free to move ( $\mathrm { g } = 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 }$ )
(1) $0.2 \mathrm {~m} / \mathrm { s } ^ { 2 }$
(2) $9.8 \mathrm {~m} / \mathrm { s } ^ { 2 }$
(3) $5 \mathrm {~m} / \mathrm { s } ^ { 2 }$
(4) $4.8 \mathrm {~m} / \mathrm { s } ^ { 2 }$
Q10 Work done and energy Energy conservation with friction or dissipative forces View
A block rests on a rough inclined plane making an angle of $30 ^ { \circ }$ with the horizontal. The coefficient of static friction between the block and the plane is 0.8 . If the frictional force on the block is 10 N , the mass of the block (in kg ) is (take $\mathrm { g } = 10 \mathrm {~m} / \mathrm { s } ^ { 2 }$ )
(1) 2.0
(2) 4.0
(3) 1.6
(4) 2.5
Q11 Work done and energy Work-energy theorem: finding speed or kinetic energy from net work View
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to
(1) $x ^ { 3 }$
(2) $e ^ { x }$
(3) $x$
(4) $\log _ { e } x$
Q13 Vectors Introduction & 2D Vector Word Problem / Physical Application View
A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg . What is the work done in pulling the entire chain on the table?
(1) 7.2 J
(2) 3.6 J
(3) 120 J
(4) 1200 J
Q14 Power and driving force View
A force $\vec { F } = ( 5 \hat { i } + 3 \hat { j } + 2 \hat { k } ) N$ is applied over a particle which displaces it from its origin to the point $\vec { r } = ( 2 \hat { i } - \hat { j } ) m$. The work done on the particle in joules is
(1) - 7
(2) + 7
(3) + 10
(4) + 13