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 2004

MCQ (Single Correct Answer)
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 frictionless force on the block is $$10$$ $$N,$$ the mass of the block (in $$kg$$) is $$\left( {take\,\,\,g\, = \,10\,\,m/{s^2}} \right)$$
A
$$1.6$$
B
$$4.0$$
C
$$2.0$$
D
$$2.5$$

Explanation


For equilibrum of block,

$$mg\,\,\sin \theta = {f_s}\,\,$$

$$ \Rightarrow m \times 10 \times \sin {30^ \circ } = 10$$

$$ \Rightarrow m \times 5 = 10$$

$$ \Rightarrow m = 2.0\,\,kg$$
2

AIEEE 2004

MCQ (Single Correct Answer)
Two masses $${m_1} = 5kg$$ and $${m_2} = 4.8kg$$ tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when left free to move? $$\left( {g = 9.8m/{s^2}} \right)$$
A
$$5\,\,m/{s^2}$$
B
$$9.8\,\,m/{s^2}$$
C
$$0.2\,\,m/{s^2}$$
D
$$4.8\,\,m/{s^2}$$

Explanation


For m1 mass :

m1g - T = m1a .........(1)

For m2 mass :

T - m2g = m2a ....... (2)

By solving (1) and (2) we get,

Acceleration a = $$\left( {{{{m_1} - {m_2}} \over {{m_1} + {m_2}}}} \right)g$$

$$ = {{\left( {5 - 4.8} \right) \times 9.8} \over {\left( {5 + 4.8} \right)}}m/{s^2}$$ = 0.2 m/s2
3

AIEEE 2003

MCQ (Single Correct Answer)
A horizontal force of $$10$$ $$N$$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is $$0.2$$. The weight of the block is
A
$$20N$$
B
$$50N$$
C
$$100N$$
D
$$2N$$

Explanation

Assume weight of the block = $$W$$ and friction force = $$f$$ = $$\mu N$$

For the block to remain stationary with the wall, weight of the block should balanced by the force of friction.

$$\therefore$$ $$f=W$$

$$ \Rightarrow $$ $$\mu N = W$$

$$ \Rightarrow $$ $$W$$ = 0.2 $$ \times $$ 10 = 2 N
4

AIEEE 2003

MCQ (Single Correct Answer)
Three forces start acting simultaneously on a particle moving with velocity, $$\overrightarrow v \,\,.$$ These forces are represented in magnitude and direction by the three sides of a triangle $$ABC$$. The particle will now move with velocity
A
less than $$\overrightarrow v \,$$
B
greater than $$\overrightarrow v \,$$
C
$$\left| v \right|$$ in the direction of the largest force $$BC$$
D
$$\overrightarrow v \,\,,$$ remaining unchanged

Explanation

As shown in the figure, the three forces are represented by the sides of a triangle taken in the same order. So the particle will be in equilibrium under the three forces.

Therefore the resultant force is zero.

We know, $${\overrightarrow F_{net}} = m\overrightarrow a .$$

$$\therefore$$ 0 = $$ m\overrightarrow a .$$

$$ \Rightarrow \overrightarrow a = 0$$

Therefore acceleration will be zero.

Hence the particle velocity remains unchanged.

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 EE GATE ECE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12