A particle of charge q , mass m , moving with velocity v 0 ( i ^ + j ^ ) enters a region of uniform magnetic field B 0 i ^ Find displacement of particle for any arbitrary time t .

v 0 t i ^ + m v 0 q B sin q B t m j ^ + m v 0 q B cos q B t m - 1 k ^

v 0 t i ^ + m v 0 q B cos q B t m j ^ + m v 0 q B 1 - sin q B t m k ^

v 0 t i ^ + m v 0 q B sin q B t m j ^ + m v 0 q B 1 - cos q B t m k ^

v 0 t i ^ + m v 0 q B cos q B t m j ^ + m v 0 q B sin q B t m - 1 k ^

A charge q of mass m , moving with velocity v 0 i ^ enters a region of magnetic field B 0 i ^ and electric field E 0 i ^ . If E 0 B 0 = v 0 , then motion of charge will be

Non-uniform motion along straight line

Uniform motion along straight line

elliptical motion with variable pitch

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A charge $q$ and mass $m$ moving with velocity $v$ enters a region of magnetic field $B$ at an angle $θ .$ Which of the following represents the correct graph for pitch w.r.t. angle $θ ?$

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Important Questions on Moving Charges and Magnetism

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 30

A particle of charge

q,

mass

m,

moving with velocity

v_{0} (\hat{i} + \hat{j})

enters a region of uniform magnetic field

B_{0} \hat{i} .

Find displacement of particle after time

t = \frac{π m}{q B} .

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 31

A particle of charge

q,

mass

m,

moving with velocity

v_{0} (\hat{i} + \hat{j})

enters a region of uniform magnetic field

B_{0} \hat{i} .

Find displacement of particle after time

t = \frac{2 π m}{q B} .

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 32

A particle of charge

q,

mass

m,

moving with velocity

v_{0} (\hat{i} + \hat{j})

enters a region of uniform magnetic field

B_{0} \hat{i}

Find displacement of particle for any arbitrary time

t .

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 33

A charge $q,$ mass $m$ moving with velocity $v$ enters region of magnetic field $B$ as shown in diagram. Assuming magnetic field to be constant (within corresponding region), find deviation of charge and time spent in it by the charge.

Question Image

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 34

A charge

q

of mass

m,

moving with velocity

v_{0} \hat{i}

enters a region of magnetic field

B_{0} \hat{i}

and electric field

E_{0} \hat{i} .

\frac{E_{0}}{B_{0}} = v_{0},

then motion of charge will be

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 35

A charged particle moves in a gravity free space without change in its velocity. Which of the following is not possible?

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 36

A charge

q

of mass

m,

moving with velocity

v_{0} \hat{i} + v_{0} \hat{j}

enters a region of magnetic field

B_{0} \hat{j}

and electric field

E_{0} \hat{j} .

Which of the following is the correct expression for pitch during first revolution?

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 37

A particle of charge

Q

and mass

m

is initially at rest at origin. Electric field is given by

E_{0} \hat{j}

while magnetic field is

B_{0} \hat{k} .

Find speed of particle when the coordinator of particle are

(\frac{2 π m v}{q B}, 0, 0) .

A charge q and mass m moving with velocity v enters a region of magnetic field B at an angle θ. Which of the following represents the correct graph for pitch w.r.t. angle θ ?

Important Questions on Moving Charges and Magnetism

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A charge $q$ and mass $m$ moving with velocity $v$ enters a region of magnetic field $B$ at an angle $θ .$ Which of the following represents the correct graph for pitch w.r.t. angle $θ ?$