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Question

An electron moving with the speed of 5 × 104 m/s enters into an electric field and attains a uniform acceleration of 1015 m/s2 in the direction of motion. In how much time, will it attain a speed twice of its initial speed? In this time, how much distance will it cover?

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Solution

Dear Student,

Initial velocity of the electron is, u = 5 × 104 m/s

Acceleration of the electron is, a = 104 m/s2

(i)

Using, v = u + at

=> 2u = u + at

=> t = u/a = (5 × 104)/( 104) = 5 s

(ii)

Distance travelled in this time is,

S = ut + ½ at2

=> S = (5 × 104) × 5 + ½ × 104 × 52

=> S = 375000 m

Regards..


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