1
JEE Main 2024 (Online) 5th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The electrostatic force $$\left(\vec{F_1}\right)$$ and magnetic force $$\left(\vec{F}_2\right)$$ acting on a charge $$q$$ moving with velocity $$v$$ can be written :

A
$$\vec{F}_1=q \vec{B}, \vec{F}_2=q(\vec{B} \times \vec{v})$$
B
$$\vec{F}_1=q \vec{V} \cdot \vec{E}, \vec{F}_2=q(\vec{B} \cdot \vec{V})$$
C
$$\vec{F}_1=q \vec{E}, \vec{F}_2=q(\vec{V} \times \vec{B})$$
D
$$\vec{F}_1=q \vec{E}, \vec{F}_2=q(\vec{B} \times \vec{V})$$
2
JEE Main 2024 (Online) 5th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero :
A
inside the outer conductor
B
outside the cable
C
in between the two conductors
D
inside the inner conductor
3
JEE Main 2024 (Online) 4th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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

A
the electron will experience a force at $$45^{\circ}$$ to the axis and execute a helical path.
B
the electron will be accelerated along the axis.
C
the electron path will be circular about the axis.
D
the electron will continue to move with uniform velocity along the axis of the solenoid.
4
JEE Main 2024 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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

A
$$2 \times 10^{-4} \mathrm{~N}$$- $$\mathrm{m}$$ along negative $$Z$$-direction
B
$$2 \times 10^{-4} \mathrm{~N}$$ - $$\mathrm{m}$$ along positive $$X$$-direction
C
$$2 \times 10^{-4} \mathrm{~N}$$ - $$\mathrm{m}$$ along positive $$Y$$-direction
D
$$2 \times 10^{-4} \mathrm{~N}$$ - $$\mathrm{m}$$ along positive $$Z$$-direction
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