In a certain region static electric and magnetic fields exist. The magnetic field is given by B → = B 0 i ^ + 2 j ^ - 4 k ^ . If a test charge moving with a velocity v → = v 0 3 i ^ - j ^ + 2 k ^ experiences no force in that region, then the electric field in the region, in SI units, is:

E → = - v 0 B 0 14 j ^ + 7 k ^

E → = - v 0 B 0 i ^ + j ^ + 7 k ^

E → = - υ 0 B 0 3 i ^ - 2 j ^ - 4 k ^

A charged particle carrying charge 1 μ C is moving with velocity ( 2 i ^ + 3 j ^ + 4 k ^ ) m s - 1 . If an external magnetic field of ( 5 i ^ + 3 j ^ - 6 k ^ ) × 10 - 3 T exists in the region where the particle is moving then the force on the particle is F → × 10 - 9 N . the vector F → is :

- 0 . 30 i ^ + 0 . 32 j ^ - 0 . 09 k ^

- 3 . 0 i ^ + 32 j ^ - 0 . 9 k ^

B experience a net clockwise torque.

B experiences a net force along + x axis.

B experiences a net anticlockwise torque.

B experiences a net force along - x axis.

The force acting on a current carrying wire joining two fixed points A and B in a uniform magnetic field

is independent of the shape of the wire

increases exponentially with increase in current

is inversely proportional to the magnitude of the magnetic field

is parallel to the direction of the magnetic field

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A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let $r_{p}, r_{e}$ and $r_{H e}$ be their respective radii, then,

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Important Questions on Magnetic Effects of Current and Magnetism

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Physics Crash Course NEET>Chapter 14 - Magnetic Effects of Current and Magnetism>Level 2>Q 36

In a certain region static electric and magnetic fields exist. The magnetic field is given by

\vec{B} = B_{0} (\hat{i} + 2 \hat{j} - 4 \hat{k})

. If a test charge moving with a velocity

\vec{v} = v_{0} (3 \hat{i} - \hat{j} + 2 \hat{k})

experiences no force in that region, then the electric field in the region, in SI units, is:

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Physics Crash Course NEET>Chapter 14 - Magnetic Effects of Current and Magnetism>Level 2>Q 37

A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is parallel to the direction of the current. The motion of the charge is:

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Physics Crash Course NEET>Chapter 14 - Magnetic Effects of Current and Magnetism>Level 2>Q 38

A particle of mass

m

and charge

q

has an initial velocity

\vec{v} = v_{0} \hat{j}

. If an electric field

\vec{E} = E_{0} \hat{i}

and magnetic field

\vec{B} = B_{0} \hat{i}

act on the particle, its speed will double after a time

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Physics Crash Course NEET>Chapter 14 - Magnetic Effects of Current and Magnetism>Level 2>Q 39

A beam of protons with speed

4 \times 10^{5} m s^{- 1}

enters a uniform magnetic field of

0.3 T

at an angle

60 °

to the magnetic field, the pitch of the resulting helical path of protons is close to : (Mass of the proton

= 1.67 \times 10^{- 27} kg

, charge of the proton

= 1.69 \times 10^{- 19} C

)

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Physics Crash Course NEET>Chapter 14 - Magnetic Effects of Current and Magnetism>Level 2>Q 40

A particle of charge

q

and mass

m

is moving with a velocity

- v \hat{i} (v \neq 0)

towards a large screen placed in the

Y - Z

plane at distance d. If there is magnetic field

\vec{B} = B_{0} \hat{k},

the minimum value of

v

for which the particle will not hit the screen is :

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Physics Crash Course NEET>Chapter 14 - Magnetic Effects of Current and Magnetism>Level 2>Q 41

The figure shows a region of length ' $l$ ' with a uniform magnetic field of $0.3 T$ in it and a proton entering the region with velocity $4 \times 10^{5} m s^{- 1}$ making an angle $60 °$ with the field. If the proton completes $10$ revolution by the time it cross the region shown, ' $l$ ' is close to (mass of proton $= 1.67 \times 10^{- 27} kg$ , charge of the proton $= 1.6 \times 10^{- 19} C$ )

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Physics Crash Course NEET>Chapter 14 - Magnetic Effects of Current and Magnetism>Level 2>Q 42

A charged particle carrying charge

1 μ C

is moving with velocity

(2 \hat{i} + 3 \hat{j} + 4 \hat{k}) m s^{- 1}

. If an external magnetic field of

(5 \hat{i} + 3 \hat{j} - 6 \hat{k}) \times 10^{- 3} T

exists in the region where the particle is moving then the force on the particle is

\vec{F} \times 10^{- 9} N

. the vector

\vec{F}

is :

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Physics Crash Course NEET>Chapter 14 - Magnetic Effects of Current and Magnetism>Level 2>Q 43

A square loop of side

2 a,

and carrying current

I

is kept in

X Z

plane with its centre at origin. A long wire carrying the same current

I

is placed parallel to the

z

-axis and passing through the point

(0, b, 0), (b > > a)

. The magnitude of the torque on the loop about

z

-axis is given by.

A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let rp,re and rHe be their respective radii, then,

Important Questions on Magnetic Effects of Current and Magnetism

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A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let $r_{p}, r_{e}$ and $r_{H e}$ be their respective radii, then,