JEE Mains Previous Years Questions with Solutions Android App

Download our App

JEE Mains Previous Years Questions with Solutions

4.5 
star star star star star
  (100k+ download)
1

AIEEE 2002

MCQ (Single Correct Answer)
Two forces are such that the sum of their magnitudes is $$18$$ $$N$$ and their resultant is $$12$$ $$N$$ which is perpendicular to the smaller force. Then the magnitudes of the forces are
A
$$12N,$$ $$6N$$
B
$$13N,$$ $$5N$$
C
$$10N,$$ $$8N$$
D
$$16N$$, $$2N.$$

Explanation

Let the two forces be $${F_1}$$ and $${F_2}$$ and let $${F_2}$$ is smaller than $$ {F_1} $$ and assume $$R$$ is the resultant force.

Given $${F_1} + {F_2} = 18$$ $$\,\,\,\,\,\,$$ ....$$(i)$$

From the right angle triangle, $$F_2^2 + {R^2} = F_1^2$$

or $$F_1^2 - F_2^2 = {R^2}$$

or $$\left( {{F_1} + {F_2}} \right)$$$$\left( {{F_1} - {F_2}} \right)$$ = $${R^2}$$

or $$\left( {18} \right)\left( {{F_1} - {F_2}} \right)$$ = $${\left( {12} \right)^2}$$ = 144

or $$\left( {{F_1} - {F_2}} \right) = 8$$ $$\,\,\,\,\,\,$$ ....$$(ii)$$

By solving equation $$(i)$$ and $$(ii)$$ we get,

$${{F_1} = 13\,N}$$ and $${{F_2} = 5\,N}$$
2

AIEEE 2002

MCQ (Single Correct Answer)
When forces $${F_1},\,\,{F_2},\,\,{F_3}$$ are acting on a particle of mass $$m$$ such that $${F_2}$$ and $${F_3}$$ are mutually perpendicular, then the particle remains stationary. If the force $${F_1}$$ is now removed then the acceleration of the particle is
A
$${F_1}/m$$
B
$${F_2}{F_3}/m{F_1}$$
C
$$\left( {F{}_2 - {F_3}} \right)/m$$
D
$${F_2}/m$$

Explanation

When $${F_1},{F_2}$$ and $${F_3}$$ are acting on a particle then the particle remains stationary. This means that the resultant of $${F_1},{F_2}$$ and $${F_3}$$ is zero. When $${F_1}$$ is removed then particle will start moving due to the force $${F_2}$$ and $${F_3}$$ in the resultant of $${F_2}$$ and $${F_3}$$ and it should be equal and opposite to $${F_1}.$$
$$i.e.$$ $$\left| {{{\overrightarrow F }_2} + {{\overrightarrow F }_3}} \right| = \left| {{{\overrightarrow F }_1}} \right|$$
$$\therefore$$ $$\,\,\,\,\,a = {{\left| {{{\overrightarrow F }_2} + {{\overrightarrow F }_3}} \right|} \over m} \Rightarrow a = {{{F_1}} \over m}$$
3

AIEEE 2002

MCQ (Single Correct Answer)
A lift is moving down with acceleration $$a.$$ A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively
A
$$g,g$$
B
$$g-a, g-a$$
C
$$g-a, g$$
D
$$a, g$$

Explanation

Let acceleration of ball = $${\overrightarrow a _b}$$ and acceleration of man is = $${\overrightarrow a _m}$$

With respect to the man standing in the lift, the acceleration of the ball

$${\overrightarrow a _{bm}} = {\overrightarrow a _b} - {\overrightarrow a _m}$$

$$ \Rightarrow {a_{bm}} = g - a$$

Where $$a$$ is the acceleration of the man as the acceleration of the lift is $$a$$.

With respect to the man standing on the ground the acceleration of the ball

$${\overrightarrow a _{bm}} = {\overrightarrow a _b} - {\overrightarrow a _m}$$

$$ \Rightarrow {a_{bm}} = g - 0$$

$$ = g$$

Questions Asked from Laws of Motion

On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2021 (Online) 1st September Evening Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 31st August Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 27th August Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 26th August Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 27th July Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 27th July Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 25th July Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 20th July Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 20th July Morning Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 18th March Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 17th March Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 17th March Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 16th March Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 16th March Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 26th February Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 24th February Evening Shift (1)
keyboard_arrow_right
JEE Main 2020 (Online) 6th September Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 6th September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 4th September Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 2nd September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 8th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 7th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 12th April Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 10th April Evening Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 8th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 12th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 10th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 10th January Morning Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 9th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 9th January Morning Slot (2)
keyboard_arrow_right
JEE Main 2018 (Online) 15th April Evening Slot (2)
keyboard_arrow_right
JEE Main 2018 (Offline) (1)
keyboard_arrow_right
JEE Main 2018 (Online) 15th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2017 (Online) 9th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2016 (Online) 10th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2016 (Online) 9th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2015 (Offline) (1)
keyboard_arrow_right
JEE Main 2014 (Offline) (1)
keyboard_arrow_right
AIEEE 2010 (1)
keyboard_arrow_right
AIEEE 2007 (1)
keyboard_arrow_right
AIEEE 2006 (1)
keyboard_arrow_right
AIEEE 2005 (5)
keyboard_arrow_right
AIEEE 2004 (2)
keyboard_arrow_right
AIEEE 2003 (7)
keyboard_arrow_right
AIEEE 2002 (7)
keyboard_arrow_right

Joint Entrance Examination

JEE Advanced JEE Main

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE ME GATE PI GATE EE GATE CE GATE IN

Medical

NEET

CBSE

Class 12