Question

calculate the ratio of acceleration of proton, deuteron and an Alpha particle in a uniform electric field

Answer 1

Acceleration of any charged particle Q in electric field E is given by
a = qE/m , where m is mass of charged particle.

Here you can see , if electric field is constant then, acceleration is directly proportional to charge and inversely proportional to mass
e.g., a $\propto$ q/m

Now, for proton :
Charge = 1e [ 1e = + 1.6 × 10⁻¹⁹C ]
mass = mp [ assume mass of proton = mp ]

for deutron :
charge = 1e
mass = 2mp

For alpha particle
charge = 2e
Mass = 4mp

∴ 1e/mp : 1e/2mp : 2e/4mp
⇒ 1 : 1/2 : 1/2
⇒ 2 : 1 : 1


Hence, ratio of acceleration is 2 : 1 : 1