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JEE Mains Previous Years Questions with Solutions

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1

JEE Main 2021 (Online) 1st September Evening Shift

MCQ (Single Correct Answer)
A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ($$\mu$$ = 4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled?
A
11.7 cm
B
10 cm
C
7.5 cm
D
8.75 cm

Explanation


Consider the actual height of the tumbler be H.

The refractive index of the water, $$\mu$$ = 4/3

The refractive index of the air, $$\mu$$ = 1

As we know that,

$${\mu _{water}} = {{{H_{real}}} \over {{H_{apparent}}}} \Rightarrow {4 \over 3} = {H \over {{H_{apparent}}}}$$

$$ \Rightarrow {H_{apparent}} = {{3H} \over 4}$$

Height of air observed by observer = 17.5 $$-$$ H

According to question, both height observed by observer is same.

$${{3H} \over 4}$$ = 17.5 $$-$$ H

$$\Rightarrow$$ H = 10 cm

Option (b)
2

JEE Main 2021 (Online) 31st August Morning Shift

MCQ (Single Correct Answer)
Two plane mirrors M1 and M2 are at right angle to each other shown. A point source 'P' is placed at 'a' and '2a' meter away from M1 and M2 respectively. The shortest distance between the images thus formed is : (Take $$\sqrt 5 $$ = 2.3)

A
3a
B
4.6a
C
2.3a
D
2$$\sqrt {10} $$a

Explanation


Shortest distance is 2a between I1 & I3

But answer given is for I1 & I2

= $$\sqrt {{{(4a)}^2} + {{(2a)}^2}} $$

= $$a\sqrt {20} $$

= 4.47 a

Option (b)
3

JEE Main 2021 (Online) 27th August Evening Shift

MCQ (Single Correct Answer)
The light waves from two coherent sources have same intensity I1 = I2 = I0. In interference pattern the intensity of light at minima is zero. What will be the intensity of light at maxima?
A
I0
B
2 I0
C
5 I0
D
4 I0

Explanation

$${I_{\max }} = {\left( {\sqrt {{I_1}} + \sqrt {{I_2}} } \right)^2}$$

= 4 I0
4

JEE Main 2021 (Online) 27th August Evening Shift

MCQ (Single Correct Answer)
Curved surfaces of a plano-convex lens of refractive index $$\mu$$1 and a plano-concave lens of refractive index $$\mu$$2 have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the combined lenses.

A
$${1 \over {{\mu _2} - {\mu _1}}}$$
B
$${\mu _1} - {\mu _2}$$
C
$${1 \over {{\mu _1} - {\mu _2}}}$$
D
$${\mu _2} - {\mu _1}$$

Explanation


$${1 \over {{f_1}}} = ({\mu _1} - 1)\left( {{1 \over R}} \right)$$

$${1 \over {{f_2}}} = ({\mu _2} - 1)\left( {{1 \over R}} \right)$$

$${1 \over {{f_1}}} + {1 \over {{f_2}}} = {1 \over {{f_{eq}}}} = {{({\mu _1} - 1) - ({\mu _2} - 1)} \over R}$$

$${1 \over {{f_{eq}}}} = {{({\mu _1} - {\mu _2})} \over R}$$

$${R \over {{f_{eq}}}} = ({\mu _1} - {\mu _2})$$

Questions Asked from Ray & Wave Optics

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 Morning Shift (1)
JEE Main 2021 (Online) 27th August Evening Shift (2)
JEE Main 2021 (Online) 27th August Morning Shift (2)
JEE Main 2021 (Online) 26th August Morning Shift (1)
JEE Main 2021 (Online) 27th July Evening Shift (1)
JEE Main 2021 (Online) 27th July Morning Shift (2)
JEE Main 2021 (Online) 25th July Evening Shift (2)
JEE Main 2021 (Online) 25th July Morning Shift (2)
JEE Main 2021 (Online) 22th July Evening Shift (1)
JEE Main 2021 (Online) 20th July Evening Shift (1)
JEE Main 2021 (Online) 20th July Morning Shift (1)
JEE Main 2021 (Online) 18th March Evening Shift (1)
JEE Main 2021 (Online) 18th March Morning Shift (2)
JEE Main 2021 (Online) 17th March Morning Shift (1)
JEE Main 2021 (Online) 16th March Evening Shift (2)
JEE Main 2021 (Online) 16th March Morning Shift (1)
JEE Main 2021 (Online) 26th February Evening Shift (2)
JEE Main 2021 (Online) 26th February Morning Shift (2)
JEE Main 2021 (Online) 25th February Evening Shift (1)
JEE Main 2021 (Online) 25th February Morning Shift (1)
JEE Main 2021 (Online) 24th February Evening Shift (1)
JEE Main 2021 (Online) 24th February Morning Shift (2)
JEE Main 2020 (Online) 6th September Evening Slot (1)
JEE Main 2020 (Online) 6th September Morning Slot (2)
JEE Main 2020 (Online) 5th September Morning Slot (1)
JEE Main 2020 (Online) 4th September Morning Slot (1)
JEE Main 2020 (Online) 3rd September Evening Slot (1)
JEE Main 2020 (Online) 3rd September Morning Slot (1)
JEE Main 2020 (Online) 2nd September Evening Slot (1)
JEE Main 2020 (Online) 2nd September Morning Slot (2)
JEE Main 2020 (Online) 9th January Evening Slot (1)
JEE Main 2020 (Online) 9th January Morning Slot (2)
JEE Main 2020 (Online) 8th January Evening Slot (2)
JEE Main 2020 (Online) 8th January Morning Slot (2)
JEE Main 2020 (Online) 7th January Evening Slot (2)
JEE Main 2020 (Online) 7th January Morning Slot (3)
JEE Main 2019 (Online) 12th April Evening Slot (2)
JEE Main 2019 (Online) 12th April Morning Slot (3)
JEE Main 2019 (Online) 10th April Evening Slot (2)
JEE Main 2019 (Online) 10th April Morning Slot (2)
JEE Main 2019 (Online) 9th April Evening Slot (3)
JEE Main 2019 (Online) 9th April Morning Slot (2)
JEE Main 2019 (Online) 8th April Evening Slot (2)
JEE Main 2019 (Online) 8th April Morning Slot (3)
JEE Main 2019 (Online) 12th January Evening Slot (2)
JEE Main 2019 (Online) 12th January Morning Slot (3)
JEE Main 2019 (Online) 11th January Evening Slot (2)
JEE Main 2019 (Online) 11th January Morning Slot (3)
JEE Main 2019 (Online) 10th January Evening Slot (2)
JEE Main 2019 (Online) 10th January Morning Slot (2)
JEE Main 2019 (Online) 9th January Evening Slot (2)
JEE Main 2019 (Online) 9th January Morning Slot (2)
JEE Main 2018 (Online) 16th April Morning Slot (2)
JEE Main 2018 (Offline) (2)
JEE Main 2018 (Online) 15th April Evening Slot (2)
JEE Main 2018 (Online) 15th April Morning Slot (3)
JEE Main 2017 (Online) 9th April Morning Slot (2)
JEE Main 2017 (Online) 8th April Morning Slot (2)
JEE Main 2017 (Offline) (3)
JEE Main 2016 (Online) 10th April Morning Slot (3)
JEE Main 2016 (Online) 9th April Morning Slot (3)
JEE Main 2016 (Offline) (4)
JEE Main 2015 (Offline) (3)
JEE Main 2014 (Offline) (3)
JEE Main 2013 (Offline) (4)
AIEEE 2012 (3)
AIEEE 2011 (3)
AIEEE 2010 (3)
AIEEE 2009 (3)
AIEEE 2008 (1)
AIEEE 2007 (2)
AIEEE 2006 (1)
AIEEE 2005 (6)
AIEEE 2004 (5)
AIEEE 2003 (3)
AIEEE 2002 (5)

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