Question

An alpha-particle and a proton are accelerated at same potential difference from rest. Find the ratio of their final velocities.
(a) 2:1
(b) 1:1
(c) 1:2
(d) 1:2.
(A.F.M.C. 2000)​

Answer 1

Answer:

a) 2:1 is the answer

Explanation:

option (a) is the correct one

Answer 2

Answer:

2:1

Charge on proton =α

Charge on α-particle = 2α

Mass of proton =β

Mass of α-particle =4β

Kinetic energy of proton,

21×βVp2=αV

Vp=β2αV

And Kinetic energy of α-particle,

21×4β×Vα2=2αV

⇒Vα=βαV

So,

Ratio of Vp:Vα=2:1