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 2005

MCQ (Single Correct Answer)
The block of mass $$M$$ moving on the frictionless horizontal surface collides with the spring of spring constant $$k$$ and compresses it by length $$L.$$ The maximum momentum of the block after collision is
A
$${{k{L^2}} \over {2M}}$$
B
$$\sqrt {Mk} \,\,L$$
C
$${{M{L^2}} \over k}$$
D
Zero

Explanation

Elastic energy stored in the spring = $${1 \over 2}k{L^2}$$

And kinetic energy of the block = $${1 \over 2}M{v^2}$$

$$\therefore$$ $${1 \over 2}M{v^2} = {1 \over 2}k{L^2}$$

$$ \Rightarrow v = \sqrt {{k \over M}} .L$$

$$\therefore$$ Momentum $$ = M \times v = M \times \sqrt {{k \over M}} .L = \sqrt {kM} .L$$
2

AIEEE 2005

MCQ (Single Correct Answer)
A body of mass $$m$$ is accelerated uniformly from rest to a speed $$v$$ in a time $$T.$$ The instantaneous power delivered to the body as a function of time is given by
A
$${{m{v^2}} \over {{T^2}}}.{t^2}$$
B
$${{m{v^2}} \over {{T^2}}}.t$$
C
$${1 \over 2}{{m{v^2}} \over {{T^2}}}.{t^2}$$
D
$${1 \over 2}{{m{v^2}} \over {{T^2}}}.t$$

Explanation

$$u = 0;v = u + aT;v = aT$$

Instantaneous power $$ = F \times v = m.\,a.\,at = m.{a^2}.t$$

$$\therefore$$ Instantaneous power $$ = {{m{v^2}t} \over {{T^2}}}$$
3

AIEEE 2005

MCQ (Single Correct Answer)
A spherical ball of mass $$20$$ $$kg$$ is stationary at the top of a hill of height $$100$$ $$m$$. It rolls down a smooth surface to the ground, then climbs up another hill of height $$30$$ $$m$$ and finally rolls down to a horizontal base at a height of $$20$$ $$m$$ above the ground. The velocity attained by the ball is
A
$$20$$ $$m/s$$
B
$$40$$ $$m/s$$
C
$$10\sqrt {30} \,\,\,m/s$$
D
$$10\,\,m/s$$

Explanation


Loss in potential energy $$=$$ gain in kinetic energy

$$m \times g \times 80 = {1 \over 2}m{v^2}$$

$$ \Rightarrow $$ $$10 \times 80 = {1 \over 2}{v^2}$$

$$ \Rightarrow $$$${v^2} = 1600$$ or $$v = 40\,m/s$$
4

AIEEE 2005

MCQ (Single Correct Answer)
The upper half of an inclined plane with inclination $$\phi $$ is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by
A
$$2\,\cos \,\,\phi $$
B
$$2\,sin\,\,\phi $$
C
$$\,\tan \,\,\phi $$
D
$$2\,\tan \,\,\phi $$

Explanation

Let the length of the inclined plane is = $$l$$. So only $${l \over 2}$$ part will have friction.

According to work-energy theorem, $$W = \Delta k = 0$$ (Since initial and final speeds are zero)

$$\therefore$$ Work done by friction + Work done by gravity $$=0$$

i.e., $$ - \left( {\mu \,mg\,\cos \,\phi } \right){\ell \over 2} + mg\ell \,\sin \,\phi = 0$$

or $${\mu \over 2}\cos \,\phi = \sin \phi $$

or $$\mu = 2\,\tan \,\phi $$

Questions Asked from Work Power & Energy

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) 27th July Evening Shift (2)
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) 18th March Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 17th March Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 26th February Morning Shift (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) 4th September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 3rd 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 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 (2)
keyboard_arrow_right
JEE Main 2019 (Online) 12th April Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 9th April Evening Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 9th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 8th April Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 12th January Evening Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 12th January Morning Slot (2)
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 2019 (Online) 9th January Morning Slot (2)
keyboard_arrow_right
JEE Main 2018 (Online) 16th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2018 (Online) 15th April Evening Slot (1)
keyboard_arrow_right
JEE Main 2018 (Offline) (1)
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) (2)
keyboard_arrow_right
JEE Main 2016 (Online) 10th April Morning Slot (3)
keyboard_arrow_right
JEE Main 2016 (Online) 9th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2016 (Offline) (2)
keyboard_arrow_right
JEE Main 2014 (Offline) (1)
keyboard_arrow_right
AIEEE 2012 (1)
keyboard_arrow_right
AIEEE 2010 (1)
keyboard_arrow_right
AIEEE 2008 (2)
keyboard_arrow_right
AIEEE 2007 (1)
keyboard_arrow_right
AIEEE 2006 (4)
keyboard_arrow_right
AIEEE 2005 (5)
keyboard_arrow_right
AIEEE 2004 (5)
keyboard_arrow_right
AIEEE 2003 (4)
keyboard_arrow_right
AIEEE 2002 (2)
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