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 2003

MCQ (Single Correct Answer)
Three charges $$ - {q_1}, + {q_2}$$ and $$ - {q_3}$$ are placed as shown in the figure. The $$x$$-component of the force on $$ - {q_1}$$ is proportional to
A
$${{{q_2}} \over {{b^2}}} - {{{q_3}} \over {{a^2}}}\cos \theta $$
B
$${{{q_2}} \over {{b^2}}} + {{{q_3}} \over {{a^2}}}\sin \theta $$
C
$${{{q_2}} \over {{b^2}}} + {{{q_3}} \over {{a^2}}}\cos \theta $$
D
$${{{q_2}} \over {{b^2}}} - {{{q_3}} \over {{a^2}}}sin\theta $$

Explanation



Force on charge $${q_1}$$ due to $${q_2}$$ is $${F_{12}} = k{{{q_1}{q_2}} \over {{b^2}}}$$

Force on charge $${q_1}$$ due to $${q_3}$$ is $${F_{13}} = k{{{q_1}{q_3}} \over {{a^2}}}$$

The $$X$$-component of the force $$\left( {{F_x}} \right)$$ on

$$q{}_1$$ is $${F_{12}} + {F_{13}}$$ $$\sin \theta $$

$$\therefore$$ $${F_x} = k{{{q_1}{q_2}} \over {{b^2}}} + k{{{q_1}{q_2}} \over {{a^2}}}\sin \theta $$

$$\therefore$$ $${F_x} \propto {{{q_2}} \over {{b^2}}} + {{{q_3}} \over {{a^2}}}\sin \theta $$
2

AIEEE 2003

MCQ (Single Correct Answer)
The work done in placing a charge of $$8 \times {10^{ - 18}}$$ coulomb on a condenser of capacity $$100$$ micro-farad is
A
$$16 \times {10^{ - 32}}\,\,joule$$
B
$$3.1 \times {10^{ - 26}}\,\,joule$$
C
$$4 \times {10^{ - 10}}\,\,joule$$
D
$$32 \times {10^{ - 32}}\,\,joule$$

Explanation

The work done is stored as the potential energy. The potential energy stored in a capacitor is given by

$$U = {1 \over 2}{{{Q^2}} \over C}$$

$$ = {1 \over 2} \times {{{{\left( {8 \times {{10}^{ - 18}}} \right)}^2}} \over {100 \times {{10}^{ - 6}}}}$$

$$ = 32 \times {10^{ - 32}}J$$
3

AIEEE 2003

MCQ (Single Correct Answer)
A thin spherical conducting shell of radius $$R$$ has a charge $$q.$$ Another charge $$Q$$ is placed at the center of the shell. The electrostatic potential at a point $$P$$ a distance $${R \over 2}$$ from the center of the shell is
A
$${{2Q} \over {4\pi {\varepsilon _0}R}}$$
B
$${{2Q} \over {4\pi {\varepsilon _0}R}} - {{2q} \over {4\pi {\varepsilon _0}R}}$$
C
$${{2Q} \over {4\pi {\varepsilon _0}R}} + {q \over {4\pi {\varepsilon _0}R}}$$
D
$${{\left( {q + Q} \right)2} \over {4\pi {\varepsilon _0}R}}$$

Explanation

Electric potential due to charge $$Q$$ placed at the center of spherical shell at point $$P$$ is

$${V_1} = {1 \over {4\pi {\varepsilon _0}}}{Q \over {R/2}} = {1 \over {4\pi {\varepsilon _0}}}{{2Q} \over R}$$



Electric potential due to charge $$q$$ on the surface of the spherical shell at any point inside the shell is

$${V_2} = {1 \over {4\pi {\varepsilon _0}}}{q \over R}$$
4

AIEEE 2003

MCQ (Single Correct Answer)
A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
A
decreases
B
remains unchanged
C
becomes infinite
D
increases

Explanation

The capacitancce of parallel plate capacitor in which a metal plate of thickness $$t$$ is inserted is given by

$$C = {{{\varepsilon _0}A} \over {d - t}}.\,\,\,\,\,$$

Here $$t \to 0\,\,\,\,\,\,$$ $$\therefore$$ $$C = {{{\varepsilon _0}A} \over d}$$

Questions Asked from Electrostatics

On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2021 (Online) 31st August Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 27th August Evening Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 26th 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 (2)
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) 22th July Evening Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 20th July Morning Shift (2)
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) 16th March Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 16th March 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 (1)
keyboard_arrow_right
JEE Main 2020 (Online) 4th September Morning Slot (2)
keyboard_arrow_right
JEE Main 2020 (Online) 3rd September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 9th January Morning Slot (2)
keyboard_arrow_right
JEE Main 2020 (Online) 8th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 8th January Morning Slot (3)
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) 12th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 10th April Evening Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 10th April Morning Slot (4)
keyboard_arrow_right
JEE Main 2019 (Online) 9th April Evening Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 9th April Morning Slot (3)
keyboard_arrow_right
JEE Main 2019 (Online) 8th April Evening Slot (3)
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) 12th January Morning Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 11th January Evening Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 11th January Morning Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 10th January Evening Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 10th January Morning Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 9th January Evening Slot (3)
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 (3)
keyboard_arrow_right
JEE Main 2018 (Offline) (2)
keyboard_arrow_right
JEE Main 2018 (Online) 15th April Morning Slot (3)
keyboard_arrow_right
JEE Main 2017 (Online) 9th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2017 (Online) 8th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2017 (Offline) (2)
keyboard_arrow_right
JEE Main 2016 (Online) 10th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2016 (Online) 9th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2016 (Offline) (2)
keyboard_arrow_right
JEE Main 2015 (Offline) (2)
keyboard_arrow_right
JEE Main 2014 (Offline) (2)
keyboard_arrow_right
JEE Main 2013 (Offline) (3)
keyboard_arrow_right
AIEEE 2012 (3)
keyboard_arrow_right
AIEEE 2011 (2)
keyboard_arrow_right
AIEEE 2010 (2)
keyboard_arrow_right
AIEEE 2009 (4)
keyboard_arrow_right
AIEEE 2008 (2)
keyboard_arrow_right
AIEEE 2007 (4)
keyboard_arrow_right
AIEEE 2006 (3)
keyboard_arrow_right
AIEEE 2005 (5)
keyboard_arrow_right
AIEEE 2004 (4)
keyboard_arrow_right
AIEEE 2003 (6)
keyboard_arrow_right
AIEEE 2002 (5)
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