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 2012

MCQ (Single Correct Answer)
The mass of a spaceship is $$1000$$ $$kg.$$ It is to be launched from the earth's surface out into free space. The value of $$g$$ and $$R$$ (radius of earth ) are $$10\,m/{s^2}$$ and $$6400$$ $$km$$ respectively. The required energy for this work will be:
A
$$6.4 \times {10^{11}}\,$$ Joules
B
$$6.4 \times {10^8}\,$$ Joules
C
$$6.4 \times {10^9}\,$$ Joules
D
$$6.4 \times {10^{10}}\,$$ Joules

Explanation

Potential energy at earth surface = $$ - {{GMm} \over R}$$

and at free space potential energy = 0

Work done for this = $$0 - \left( { - {{GMm} \over R}} \right)$$ = $${{{GMm} \over R}}$$

So the required energy for this work is

= $${{GMm} \over R}$$

=$${{{g{R^2}m} \over R}}$$ [ as $$g = {{GM} \over {{R^2}}}$$ ]

= $$mgR$$

$$ = 1000 \times 10 \times 6400 \times {10^3}$$

$$ = 6.4 \times {10^{10}}\,\,$$ Joules
2

AIEEE 2012

MCQ (Single Correct Answer)
Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is
A
m1r1 : m2r2
B
m1 : m2
C
r1 : r2
D
1 : 1

Explanation

We know, $$a = r\,{w^2} = r \times {\left( {{{2\pi } \over T}} \right)^2}$$

Given, $${T_1} = {T_2} = T$$

$${a_1} = {r_1} \times {\left( {{{2\pi } \over T}} \right)^2}$$

$${a_2} = {r_2} \times {\left( {{{2\pi } \over T}} \right)^2}$$

$$\therefore$$ $${{{a_1}} \over {{a_2}}} = {{{r_1}} \over {{r_2}}}$$
3

AIEEE 2011

MCQ (Single Correct Answer)
Two bodies of masses $$m$$ and $$4$$ $$m$$ are placed at a distance $$r.$$ The gravitational potential at a point on the line joining them where the gravitational field is zero is:
A
$$ - {{4Gm} \over r}$$
B
$$ - {{6Gm} \over r}$$
C
$$ - {{9Gm} \over r}$$
D
zero

Explanation

Let the gravitational field at $$P,$$ distant $$x$$ from mass $$m,$$ be zero.


$$\therefore$$ $${{Gm} \over {{x^2}}} = {{4Gm} \over {{{\left( {r - x} \right)}^2}}}$$

$$ \Rightarrow 4{x^2} = {\left( {r - x} \right)^2}$$

$$ \Rightarrow 2x = r - x$$

$$ \Rightarrow x = {r \over 3}$$

Gravitational potential at point $$P,$$

$$V = - {{Gm} \over {{r \over 3}}} - {{4Gm} \over {{{2r} \over 3}}} = -{{9Gm} \over r}$$
4

AIEEE 2009

MCQ (Single Correct Answer)
The height at which the acceleration due to gravity becomes $${g \over 9}$$ (where $$g=$$ the acceleration due to gravity on the surface of the earth) in terms of $$R,$$ the radius of the earth, is:
A
$${R \over {\sqrt 2 }}$$
B
$$R/2$$
C
$$\sqrt 2 \,\,R$$
D
$$2\,R$$

Explanation

Given that, at height h from ground the acceleration due to gravity becomes $${g \over 9}$$.

We know acceleration at earth surface due to gravity g = $${{GM} \over {{R^2}}}$$

and acceleration at height h due to gravity g' = $${{GM} \over {{{\left( {R + h} \right)}^2}}}$$

So $${{g} \over 9} $$ = $${{GM} \over {{{\left( {R + h} \right)}^2}}}$$

$$ \Rightarrow $$ $${{g} \over 9} $$ = $${{GM} \over {{R^2}}}.{{{R^2}} \over {{{\left( {R + h} \right)}^2}}}$$

= $$g.{\left( {{R \over {R + h}}} \right)^2}$$

$$ \Rightarrow {1 \over 9} = {\left( {{R \over {R + h}}} \right)^2}$$

$$ \Rightarrow {R \over {R + h}} = {1 \over 3}$$

$$ \Rightarrow 3R = R + h$$

$$\therefore$$ $$h = 2R$$

Questions Asked from Gravitation

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 (1)
keyboard_arrow_right
JEE Main 2021 (Online) 31st August Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 31st August Morning 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 (2)
keyboard_arrow_right
JEE Main 2021 (Online) 25th July Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 25th July Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 22th 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 (1)
keyboard_arrow_right
JEE Main 2021 (Online) 18th March Evening Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 18th March Morning Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 17th March Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 16th March Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 26th February Morning Shift (3)
keyboard_arrow_right
JEE Main 2021 (Online) 25th February Morning Shift (3)
keyboard_arrow_right
JEE Main 2021 (Online) 24th February Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 24th February Morning Shift (3)
keyboard_arrow_right
JEE Main 2020 (Online) 6th September Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 5th September Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 5th September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 4th September Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 4th September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 3rd September Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 3rd September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 2nd September Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 2nd September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 9th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 9th January Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 8th January Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 7th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 7th January Morning 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 (1)
keyboard_arrow_right
JEE Main 2019 (Online) 10th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 9th April Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 9th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 8th April Evening Slot (1)
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) 12th January Morning Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 11th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 11th January Morning 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 2018 (Online) 16th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2018 (Offline) (2)
keyboard_arrow_right
JEE Main 2018 (Online) 15th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2017 (Online) 9th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2017 (Online) 8th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2017 (Offline) (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 2016 (Offline) (1)
keyboard_arrow_right
JEE Main 2015 (Offline) (1)
keyboard_arrow_right
JEE Main 2014 (Offline) (1)
keyboard_arrow_right
JEE Main 2013 (Offline) (1)
keyboard_arrow_right
AIEEE 2012 (2)
keyboard_arrow_right
AIEEE 2011 (1)
keyboard_arrow_right
AIEEE 2009 (1)
keyboard_arrow_right
AIEEE 2008 (2)
keyboard_arrow_right
AIEEE 2005 (3)
keyboard_arrow_right
AIEEE 2004 (4)
keyboard_arrow_right
AIEEE 2003 (3)
keyboard_arrow_right
AIEEE 2002 (4)
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