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Question: An a-particle of mass 6.4 × 10<sup>–27</sup> kg and charge 3.2 × 10<sup>–19</sup> C is situated in a...

An a-particle of mass 6.4 × 10–27 kg and charge 3.2 × 10–19 C is situated in a uniform electric field of 1.6 × 105Vm–1. The velocity of the particle at the end of 2 × 10–2 m path when it starts from rest is-

A

23\sqrt{3}× 105ms–1

B

8 × 105ms–1

C

16 × 105ms–1

D

42\sqrt{2} × 105ms–1

Answer

42\sqrt{2} × 105ms–1

Explanation

Solution

a = fm\frac { \mathrm { f } } { \mathrm { m } } = = = 2eE4 mp\frac { 2 \mathrm { eE } } { 4 \mathrm {~m} _ { \mathrm { p } } } =

u = 0 \ v2 = u2 + 2as v = 2as\sqrt { 2 \mathrm { as } }