Question

Doubly ionized atoms x and y of two different elements are accelerated through the same potential difference on entering a uniform magnetic they describe circular paths of radii R1 and R2 . The masess of x and y in the ratio of : 1. R1:R2 2.R2:R1 3.R1square:R2square 4.R2square:R1square​

Answer 1

Answer:

12th

Physics

Moving Charges and Magnetism

Motion of a Charge in Magnetic Field

Two particles X and Y havin...

PHYSICS

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Asked on October 15, 2019 by

Sonam Hamid

Two particles X and Y having equal charges after being accelerated through same potential difference enter a region of uniform magnetic field and describe a circular paths of radii 'r

1

and 'r

2

' respectively. The ratio of the mass of X to that of Y is

MEDIUM

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VIDEO EXPLANATION

ANSWER

Radius of circular path traced by a particle r=

Bq

mv

Kinetic energy K=

2

1

mv

2

=eV

∴ r=

Bq

m

2

v

2

=

Bq

2mK

Or r=

Bq

2meV

⟹ m∝r

2

Thus we get the ratio of masses of X to Y

m

2

m

1

=[

r

2

r

1

]

2