Joint Entrance Examination

Graduate Aptitude Test in Engineering

1

MCQ (Single Correct Answer)

For the given circuit the current i through the battery when the key in closed and the steady state has been reached is __________.

A

6 A

B

25 A

C

10 A

D

0 A

We know in study state potential difference across
inductor = 0

So, equivalent circuit becomes

$${1 \over {{R_{eq}}}} = {1 \over 3} + {1 \over 3} + {1 \over 3} = 1$$

$$\Rightarrow$$ R_{eq} = 1$$\Omega$$

$$\Rightarrow$$ Circuit becomes

$$ \Rightarrow i = {{30} \over 3} = 10$$ A

So, equivalent circuit becomes

$${1 \over {{R_{eq}}}} = {1 \over 3} + {1 \over 3} + {1 \over 3} = 1$$

$$\Rightarrow$$ R

$$\Rightarrow$$ Circuit becomes

$$ \Rightarrow i = {{30} \over 3} = 10$$ A

2

MCQ (Single Correct Answer)

Statement - I :

To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect a capacitor across the output parallel to the load R_{L}.

Statement - II :

To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect an inductor in series with R_{L}.

In the light of the above statements, choose the most appropriate answer from the options given below :

To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect a capacitor across the output parallel to the load R

Statement - II :

To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect an inductor in series with R

In the light of the above statements, choose the most appropriate answer from the options given below :

A

Statement I is true but Statement II is false

B

Statement I is false but Statement II is true

C

Both Statement I and Statement II are false

D

Both Statement I and Statement II are true

To convert pulsating dc into steady dc both of mentioned method are correct.

3

MCQ (Single Correct Answer)

In an ac circuit, an inductor, a capacitor and a resistor are connected in series with X_{L} = R = X_{C}. Impedance of this circuit is :

A

2R^{2}

B

Zero

C

R

D

R$$\sqrt 2 $$

$$Z = \sqrt {{{({X_L} - {X_C})}^2} + {R^2}} = R$$ $$\because$$ X_{L} = X_{C}

Option (c)

Option (c)

4

MCQ (Single Correct Answer)

A small square loop of side 'a' and one turn is placed inside a larger square loop of side b and one turn (b >> a). The two loops are coplanar with their centres coinciding. If a current I is passed in the square loop of side 'b', then the coefficient of mutual inductance between the two loops is :

A

$${{{\mu _0}} \over {4\pi }}8\sqrt 2 {{{a^2}} \over b}$$

B

$${{{\mu _0}} \over {4\pi }}{{8\sqrt 2 } \over a}$$

C

$${{{\mu _0}} \over {4\pi }}8\sqrt 2 {{{b^2}} \over a}$$

D

$${{{\mu _0}} \over {4\pi }}{{8\sqrt 2 } \over b}$$

$$B = \left[ {{{{\mu _0}} \over {4\pi }}{I \over {b/2}} \times 2\sin 45} \right] \times 4$$

$$\phi = 2\sqrt 2 {{{\mu _0}} \over \pi }{I \over b} \times {a^2}$$

$$\therefore$$ $$M = {\phi \over I} = {{2\sqrt 2 {\mu _0}{a^2}} \over {\pi b}} = {{{\mu _0}} \over {4\pi }}8\sqrt 2 {{{a^2}} \over b}$$

Option (a)

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) 31st August Morning Shift (2)

JEE Main 2021 (Online) 27th August Morning Shift (1)

JEE Main 2021 (Online) 26th August Evening Shift (1)

JEE Main 2021 (Online) 26th August Morning Shift (2)

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 (2)

JEE Main 2021 (Online) 20th July Evening Shift (1)

JEE Main 2021 (Online) 18th March Evening Shift (2)

JEE Main 2021 (Online) 18th March Morning Shift (2)

JEE Main 2021 (Online) 17th March Evening Shift (2)

JEE Main 2021 (Online) 17th March Morning Shift (1)

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 (1)

JEE Main 2021 (Online) 26th February Morning Shift (1)

JEE Main 2021 (Online) 25th February Evening Shift (2)

JEE Main 2021 (Online) 25th February Morning Shift (2)

JEE Main 2021 (Online) 24th February Evening Shift (1)

JEE Main 2020 (Online) 6th September Morning Slot (1)

JEE Main 2020 (Online) 4th September Evening 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 (2)

JEE Main 2020 (Online) 2nd September Morning Slot (1)

JEE Main 2020 (Online) 7th January Morning Slot (3)

JEE Main 2019 (Online) 12th April Evening Slot (1)

JEE Main 2019 (Online) 10th April Morning Slot (1)

JEE Main 2019 (Online) 9th April Morning Slot (1)

JEE Main 2019 (Online) 12th January Evening 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 (2)

JEE Main 2019 (Online) 10th January Morning Slot (1)

JEE Main 2019 (Online) 9th January Evening Slot (1)

JEE Main 2018 (Online) 16th April Morning Slot (3)

JEE Main 2018 (Offline) (3)

JEE Main 2018 (Online) 15th April Evening Slot (3)

JEE Main 2018 (Online) 15th April Morning Slot (2)

JEE Main 2017 (Online) 9th April Morning Slot (2)

JEE Main 2017 (Online) 8th April Morning Slot (1)

JEE Main 2017 (Offline) (1)

JEE Main 2016 (Online) 10th April Morning Slot (2)

JEE Main 2016 (Online) 9th April Morning Slot (2)

JEE Main 2016 (Offline) (1)

JEE Main 2015 (Offline) (5)

JEE Main 2014 (Offline) (3)

JEE Main 2013 (Offline) (4)

AIEEE 2012 (1)

AIEEE 2011 (3)

AIEEE 2010 (3)

AIEEE 2009 (1)

AIEEE 2008 (1)

AIEEE 2007 (2)

AIEEE 2006 (6)

AIEEE 2005 (5)

AIEEE 2004 (6)

AIEEE 2003 (4)

AIEEE 2002 (5)

Units & Measurements

Motion

Laws of Motion

Work Power & Energy

Simple Harmonic Motion

Impulse & Momentum

Rotational Motion

Gravitation

Properties of Matter

Heat and Thermodynamics

Waves

Vector Algebra

Ray & Wave Optics

Electrostatics

Current Electricity

Magnetics

Alternating Current and Electromagnetic Induction

Atoms and Nuclei

Dual Nature of Radiation

Electronic Devices

Communication Systems