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Byju's Answer

Standard XII

Physics

Characteristics of Bohr's Atomic Model

A particle of...

Question

A particle of mass m and charge q moving with velocity $v = \frac{q B l}{2 m}$ enters region-II normal to the boundary as shown in the figure. Region-II has a uniform magnetic field B perpendicular to the plane of paper. The particle will

Enter the region - III

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Not enter the region-III

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Complete circular motion in region-II

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Move undeflected in region-II

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Solution

The correct option is A Not enter the region-III
Given :A particle of mass m and charge q moving with velocity v=qBl2m enters region-II normal to the boundary as shown in the figure. Region-II has a uniform magnetic field B perpendicular to the plane of paper.

Solution :
Formula for radius of circular path when a charge enters magnetic field is $R = \frac{m v}{q B}$
And we have the velocity of charge V= $\frac{q B l}{2 m}$
when we substitute this value in the formula of radius we get R= $\frac{l}{2}$
It means particle will move in semicircular path and come out with deviation of 180
The correct opt : B

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Similar questions

Q. A particle of mass

m

and charge

q,

moving with velocity

V

enters Region

I I

normal to the boundary as shown in the figure. Region II has a uniform magnetic field

B

perpendicular to the plane of the paper. The length of the Region

I I

ℓ

Choose the correct choice(s).

A particle of mass m and charge q, moving with velocity v enters region II normal to the boundary as shown in the following figure. Region II has a uniform magnetic field B. Choose the correct choice(s).

Q. A particle of mass

M

and charge

q

moving with velocity

v

enters

R e g i o n - 2

normal to the boundry as shown in the figure.

R e g i o n - 2

has uniform magnetic field

B

perpendicular to the plane of the paper. The length of the

R e g i o n - 2

l

. Choose the correct choice.
(A) The particle enters

R e g i o n - 3

only, if its velocity

v > q l B / m

.
(B) The particle enters

R e g i o n - 3

only, if its velocity

v < q l B / m

R e g i o n - 2

is maximum when velocity

v = q l B / m

.
(D) Time spend in

R e g i o n - 2

is same for any velocity

v

as long as the particle return to

R e g i o n - 1

Q. A particle of mass in and charge Q moving with velocity v enters a region of uniform magnetic field of induction B. Its path in the region is

Q. A particle of mass

m

and charge

q

enters with velocity

v_{0}

perpendicular to a magnetic field B (coming out of the plane of the paper) as shown in the figure. It moves in the magnetic field for time

t = \frac{π m}{4 q B}

, and then enters into a constant electric field region. The electric and magnetic fields are present only in a rectangular region of thickness

d

. The length of rectangular region is

l

. The particle enters parallel to and grazing the side

R Q

and leaves the region at

P

Given :

v_{0} = (\sqrt{2} + 1) m s^{- 1}

\frac{E}{B} = 8 m s^{- 1}, l = ∣ ∣ ∣ \frac{4 \sqrt{2}}{5} v_{0} ∣ ∣ ∣

metres and

\frac{m}{q B} = \frac{4}{5}

Time taken by the particle to cross the electric field region is

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A particle of mass m and charge q moving with velocity v=qBl2m enters region-II normal to the boundary as shown in the figure. Region-II has a uniform magnetic field B perpendicular to the plane of paper. The particle will

A particle of mass m and charge q moving with velocity $v = \frac{q B l}{2 m}$ enters region-II normal to the boundary as shown in the figure. Region-II has a uniform magnetic field B perpendicular to the plane of paper. The particle will