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)
When two tuning forks (fork $$1$$ and fork $$2$$) are sounded simultaneously, $$4$$ beats per second are heated. Now, some tape is attached on the prong of the fork $$2.$$ When the tuning forks are sounded again, $$6$$ beats per second are heard. If the frequency of fork $$1$$ is $$200$$ $$Hz$$, then what was the original frequency of fork $$2$$ ?
A
$$202$$ $$Hz$$
B
$$200$$ $$Hz$$
C
$$204$$ $$Hz$$
D
$$196$$ $$Hz$$

Explanation

No. of beats heard when fork $$2$$ is sounded with fork $$1$$ $$ = \Delta n = 4$$

Now we know that if on loading (attaching tape) an unknown fork, the beat frequency increases (from $$4$$ to $$6$$ in this case) then the frequency of the unknown fork $$2$$ is given by,

$$n = {n_0} - \Delta n = 200 - 4 = 196Hz$$
2

AIEEE 2004

MCQ (Single Correct Answer)
The displacement $$y$$ of a particle in a medium can be expressed as, $$y = {10^{ - 6}}\,\sin $$ $$\left( {100t + 20x + {\pi \over 4}} \right)$$ $$m$$ where $$t$$ is in second and $$x$$ in meter. The speed of the wave is
A
$$20\,\,m/s$$
B
$$5\,m/s$$
C
$$2000\,m/s$$
D
$$5\,\pi \,m/s$$

Explanation

From equation given,

$$\omega = 100$$ and $$k = 20,$$ $$v = {\omega \over k} = {{100} \over {20}} = 5m/s$$
3

AIEEE 2003

MCQ (Single Correct Answer)
A tuning fork of known frequency $$256$$ $$Hz$$ makes $$5$$ beats per second with the vibrating string of a piano. The beat frequency decreases to $$2$$ beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
A
$$256 + 2Hz$$
B
$$256 - 2Hz$$
C
$$256 - 5Hz$$
D
$$256 + 5Hz$$

Explanation

A tuning fork of frequency $$256$$ $$Hz$$ makes $$5$$ beats/ second with the vibrating string of a piano. Therefore the frequency of the vibrating string of piano is $$\left( {256 \pm 5} \right)$$ $$Hz$$ ie either $$261$$$$Hz$$ or $$251$$ $$Hz.$$ When the tension in the piano string increases, its frequency will increases. Now since the beat frequency decreases, we can conclude that the frequency of piano string is $$251$$ $$Hz$$
4

AIEEE 2003

MCQ (Single Correct Answer)
The displacement $$y$$ of a wave travelling in the $$x$$-direction is given by $$$y = {10^{ - 4}}\,\sin \left( {600t - 2x + {\pi \over 3}} \right)\,\,metres$$$
where $$x$$ is expressed in metres and $$t$$ in seconds. The speed of the wave - motion, in $$m{s^{ - 1}}$$, is
A
$$300$$
B
$$600$$
C
$$1200$$
D
$$200$$

Explanation

$$y = {10^{ - 4}}\sin \left( {600t - 2x + {\pi \over 3}} \right)$$

But $$y = A\sin \left( {\omega t - kx + \phi } \right)$$

On comparing we get $$\omega = 600;\,k = 2$$

$$v = {\omega \over k} = {{600} \over 2} = 300\,m{s^{ - 1}}$$

Questions Asked from Waves

On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2021 (Online) 22th July 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) 26th February Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 25th February Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 24th February Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 24th February Morning Shift (1)
keyboard_arrow_right
JEE Main 2020 (Online) 6th September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 5th September Evening Slot (2)
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 Morning 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) 8th January Evening 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 (3)
keyboard_arrow_right
JEE Main 2019 (Online) 12th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 10th April Evening Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 10th April Morning Slot (2)
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) 8th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 12th 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 Morning Slot (3)
keyboard_arrow_right
JEE Main 2019 (Online) 9th January Evening Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 9th January Morning Slot (1)
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) (2)
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 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) (2)
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 (1)
keyboard_arrow_right
AIEEE 2011 (1)
keyboard_arrow_right
AIEEE 2010 (1)
keyboard_arrow_right
AIEEE 2009 (2)
keyboard_arrow_right
AIEEE 2008 (1)
keyboard_arrow_right
AIEEE 2007 (1)
keyboard_arrow_right
AIEEE 2006 (2)
keyboard_arrow_right
AIEEE 2005 (2)
keyboard_arrow_right
AIEEE 2004 (1)
keyboard_arrow_right
AIEEE 2003 (3)
keyboard_arrow_right
AIEEE 2002 (5)
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