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Chapter 25: Q. 13 (page 709)

What potential difference is needed to accelerate an electron from rest to a speed of 2.0脳106m/s?

Short Answer

Expert verified

The potential difference needed isV1鈫�2=11.4V

Step by step solution

01

Given information and theory used  

Given : To accelerate an electron from rest to a speed of : 2.0脳106m/s

Theory used :

According to the law of conservation of energy, U1=U2+12mv2. ...(1)

02

Calculating potential difference needed 

Allow the electron to accelerate from point 1 to point 2, where it will reach v=2.0脳106m/s.

Rewriting the law of conservation of energy, in equation (1) :

12mv2=-(U2-U1)

Through (U2-U1)=q(V2-V1)=qV1鈫�2, the potential difference is connected to the potential energy difference.

Because electron q=-e, produces

12mv2=eV1鈫�2鈬�V1鈫�2=mv22e

We get V1鈫�2=11.4Vby substitutinge=1.60脳10-19Candm=9.11脳10-31kg

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