JEE Mains Previous Years Questions with Solutions Android App

Download our App

JEE Mains Previous Years Questions with Solutions

4.5 
Star 1 Star 2 Star 3 Star 4
Star 5
  (100k+ )
1

JEE Main 2021 (Online) 1st September Evening Shift

MCQ (Single Correct Answer)
A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length 4 m has the same period of oscillation as the spring system. What is the value of acceleration due to gravity on the planet where these experiments are performed?

A
10 m/s2
B
5 m/s2
C
4 m/s2
D
9.8 m/s2

Explanation

From the potential energy curve,

$${U_{\max }} = {1 \over 2}k{A^2}$$

$$10 = {1 \over 2}k{(2)^2}$$

$$\Rightarrow$$ k = 5 N/m

The length of the simple pendulum, L = 4 m

Time period of spring,

$$T = 2\pi \sqrt {{k \over m}} $$

Time period of simple pendulum,

$$T = 2\pi \sqrt {{l \over g}} $$

The time period of simple pendulum is same as the time period of the spring oscillation.

$$\Rightarrow$$ $$2\pi \sqrt {{l \over g}} $$ = $$2\pi \sqrt {{k \over m}} $$

Substituting the values in the above equations, we get

$$2\pi \sqrt {{4 \over g}} $$ = $$2\pi \sqrt {{5 \over 5}} $$

g = 4m/s2

$$\therefore$$ The acceleration due to the gravity on the planet is 4 m/s2.
2

JEE Main 2021 (Online) 31st August Evening Shift

MCQ (Single Correct Answer)
For a body executing S.H.M. :

(1) Potential energy is always equal to its K.E.

(2) Average potential and kinetic energy over any given time interval are always equal.

(3) Sum of the kinetic and potential energy at any point of time is constant.

(4) Average K.E. in one time period is equal to average potential energy in one time period.

Choose the most appropriate option from the options given below :
A
(3) and (4)
B
only (3)
C
(2) and (3)
D
only (2)

Explanation

In S.H.M. total mechanical energy remains constant and also = = $${{1 \over 4}}$$KA2 (for 1 time period)
3

JEE Main 2021 (Online) 27th August Morning Shift

MCQ (Single Correct Answer)
The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure.


The potential energy U(x) versus time (t) plot of the particle is correctly shown in figure :
A
B
C
D

Explanation

Potential energy is maximum at maximum distance from mean.
4

JEE Main 2021 (Online) 27th July Evening Shift

MCQ (Single Correct Answer)
An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period (T) is 0.2 s. What will be the potential energy of the object at an instant $$t = {T \over 4}s$$ starting from mean position. Assume that the initial phase of the oscillation is zero.
A
0.62 J
B
6.2 $$\times$$ 10$$-$$3 J
C
1.2 $$\times$$ 103 J
D
6.2 $$\times$$ 103 J

Explanation

$$T = 2\pi \sqrt {{m \over k}} $$

$$0.2 = 2\pi \sqrt {{{0.5} \over k}} $$

k = 50$$\pi$$2

$$ \approx $$ 500

x = A sin ($$\omega$$t + $$\phi$$)

= 5 cm sin $$\left( {{{\omega T} \over 4} + 0} \right)$$

= 5 cm sin $$\left( {{\pi \over 2}} \right)$$

= 5 cm

$$PE = {1 \over 2}k{x^2}$$

$$ = {1 \over 2}(500){\left( {{5 \over {100}}} \right)^2}$$

= 0.6255

Questions Asked from Simple Harmonic 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 (1)
JEE Main 2021 (Online) 31st August Evening Shift (1)
JEE Main 2021 (Online) 27th August Morning Shift (1)
JEE Main 2021 (Online) 27th July Evening Shift (1)
JEE Main 2021 (Online) 27th July Morning Shift (1)
JEE Main 2021 (Online) 25th July Evening Shift (1)
JEE Main 2021 (Online) 22th July Evening Shift (1)
JEE Main 2021 (Online) 20th July Evening Shift (2)
JEE Main 2021 (Online) 18th March Evening Shift (1)
JEE Main 2021 (Online) 18th March Morning Shift (1)
JEE Main 2021 (Online) 17th March Evening Shift (2)
JEE Main 2021 (Online) 16th March Evening Shift (1)
JEE Main 2021 (Online) 16th March Morning Shift (1)
JEE Main 2021 (Online) 26th February Evening Shift (2)
JEE Main 2021 (Online) 25th February Evening Shift (3)
JEE Main 2021 (Online) 25th February Morning Shift (1)
JEE Main 2021 (Online) 24th February Evening Shift (2)
JEE Main 2020 (Online) 6th September Evening Slot (1)
JEE Main 2020 (Online) 5th September Morning Slot (1)
JEE Main 2020 (Online) 3rd September Evening Slot (1)
JEE Main 2020 (Online) 2nd September Evening Slot (1)
JEE Main 2020 (Online) 2nd September Morning Slot (1)
JEE Main 2020 (Online) 9th January Evening Slot (1)
JEE Main 2020 (Online) 8th January Evening Slot (1)
JEE Main 2019 (Online) 12th January Evening Slot (1)
JEE Main 2019 (Online) 12th January Morning Slot (2)
JEE Main 2019 (Online) 11th January Evening Slot (2)
JEE Main 2019 (Online) 11th January Morning Slot (1)
JEE Main 2019 (Online) 10th January Evening Slot (3)
JEE Main 2019 (Online) 9th January Evening Slot (1)
JEE Main 2018 (Online) 16th April Morning Slot (2)
JEE Main 2018 (Online) 15th April Evening Slot (1)
JEE Main 2018 (Online) 15th April Morning Slot (1)
JEE Main 2017 (Online) 9th April Morning Slot (1)
JEE Main 2017 (Online) 8th April Morning Slot (2)
JEE Main 2016 (Online) 10th April Morning Slot (1)
JEE Main 2016 (Online) 9th April Morning Slot (1)
JEE Main 2016 (Offline) (1)
JEE Main 2015 (Offline) (2)
JEE Main 2014 (Offline) (1)
JEE Main 2013 (Offline) (2)
AIEEE 2012 (1)
AIEEE 2011 (2)
AIEEE 2009 (1)
AIEEE 2007 (4)
AIEEE 2006 (3)
AIEEE 2005 (4)
AIEEE 2004 (5)
AIEEE 2003 (5)
AIEEE 2002 (3)

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

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

Medical

NEET

CBSE

Class 12