Question

What would be the ratio of the final velocities of a single ionized helium atom and H + ion if they were accelerated by V potentials?​

Answer 1

Answer:

Mass of Hydrogen ion is m

p

.

Mass of Helium ion m

He

=4m

p

Charge of Hydrogen ion is q

p

.

Charge of Helium ion q

He

=2q

p

Kinetic energy of particle K.E=

2

1

mv

2

=qV

⟹ v∝

m

q

We get

v

H

v

He

=

m

He

q

He

.

q

p

m

p

⟹

v

H

v

He

=

4m

p

2q

p

.

q

p

m

p

=

2

1

Answer 2

Answer:

Charge of Hydrogen ion is qp.

Charge of Helium ion  qHe=2qp

Kinetic energy of particle  K.E=21mv2=qV

⟹ v∝mq

We get  vHvHe=mHeqHe.qpmp

⟹  vHvHe=4mp2qp.qpmp=21