JEE Main Magnetic Effect of Current Practice Questions With Solutions

Updated By Diksha Sharma on 07 Jan, 2025 21:16

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JEE Main Physics Magnetic Effect of Current Practice Questions

Chemistry Mathematics

Question 1.

A proton and a deutron $(q = + e, m = 2.0 u)$ having same kinetic energies enter a region of uniform magnetic field $\vec{B}$ , moving perpendicular to $\vec{B}$ . The ratio of the radius $r_{d}$ of deutron path to the radius $r_{p}$ of the proton path is:

1 : 2

1 : 1

\sqrt{2} : 1

1 : \sqrt{2}

Question 2.

Given below are two statements :

Statement (I) : When currents vary with time, Newton's third law is valid only if momentum carried by the electromagnetic field is taken into account

Statement (II) : Ampere's circuital law does not depend on Biot-Savart's law.

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

Both Statement I and Statement II are false

Statement I is false but Statement II is true

Both Statement I and Statement II are true

Statement I is true but Statement II is false

Question 3.

A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnetic field at $\frac{a}{2}$ and $2 a$ from axis of the wire is :

4 : 1

3 : 4

1 : 1

1 : 4

Question 4.

An element $Δ l = Δ x \hat{i}$ is placed at the origin and carries a large current $I = 10 A$ . The magnetic field on the $y$ -axis at a distance of $0.5 m$ from the elements $Δ x$ of $1 cm$ length is:

JEE Main 2024 (Online) 6th April Morning Shift Physics - Magnetic Effect of Current Question 1 English

10 \times 10^{- 8} T

8 \times 10^{- 8} T

4 \times 10^{- 8} T

12 \times 10^{- 8} T

Question 5.

The electrostatic force $(\vec{F_{1}})$ and magnetic force $({\vec{F}}_{2})$ acting on a charge $q$ moving with velocity $v$ can be written :

{\vec{F}}_{1} = q \vec{B}, {\vec{F}}_{2} = q (\vec{B} \times \vec{v})

{\vec{F}}_{1} = q \vec{V} \cdot \vec{E}, {\vec{F}}_{2} = q (\vec{B} \cdot \vec{V})

{\vec{F}}_{1} = q \vec{E}, {\vec{F}}_{2} = q (\vec{V} \times \vec{B})

{\vec{F}}_{1} = q \vec{E}, {\vec{F}}_{2} = q (\vec{B} \times \vec{V})

Question 6.

In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero :

inside the outer conductor

outside the cable

in between the two conductors

inside the inner conductor

Question 7.

An electron is projected with uniform velocity along the axis inside a current carrying long solenoid. Then :

the electron will experience a force at

45^{\circ}

to the axis and execute a helical path.

the electron will be accelerated along the axis.

the electron path will be circular about the axis.

the electron will continue to move with uniform velocity along the axis of the solenoid.

Question 8.

A uniform magnetic field of $2 \times 10^{- 3} T$ acts along positive $Y$ -direction. A rectangular loop of sides $20 cm$ and $10 cm$ with current of $5 A$ is in $Y - Z$ plane. The current is in anticlockwise sense with reference to negative $X$ axis. Magnitude and direction of the torque is:

2 \times 10^{- 4} N

m

along negative

Z

-direction

2 \times 10^{- 4} N

m

along positive

X

-direction

2 \times 10^{- 4} N

m

along positive

Y

-direction

2 \times 10^{- 4} N

m

along positive

Z

-direction

Question 9.

A rigid wire consists of a semicircular portion of radius $R$ and two straight sections. The wire is partially immerged in a perpendicular magnetic field $B = B_{0} \hat{k}$ as shown in figure. The magnetic force on the wire if it has a current $i$ is:

JEE Main 2024 (Online) 31st January Morning Shift Physics - Magnetic Effect of Current Question 23 English

i B R \hat{j}

- 2 i B R \hat{j}

2 i B R \hat{j}

- i B R \hat{j}

Question 10.

Two insulated circular loop A and B of radius ' $a$ ' carrying a current of ' $I$ ' in the anti clockwise direction as shown in the figure. The magnitude of the magnetic induction at the centre will be :

JEE Main 2024 (Online) 30th January Morning Shift Physics - Magnetic Effect of Current Question 19 English

\frac{\sqrt{2} μ_{0} I}{a}

\frac{μ_{0} I}{\sqrt{2} a}

\frac{μ_{0} I}{2 a}

\frac{2 μ_{0} I}{a}

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