Concept explainers
An electron is accelerated from rest by a potential difference of 0.20 V. How much greater would its final speed be if it is accelerated with four times as much voltage? Explain.
How much greater would an electron’s final speed will be if it is accelerated with four times as much voltage.
Answer to Problem 4Q
Solution:
Speed will be 2 times.
Explanation of Solution
Potential difference between two points, , where is the potential energy and q is the charge.
Kinetic energy, , where m is the mass and v is the velocity
Formula used:
Calculation:
We have
When potential increases to four times potential energy also increases by four times
We know when charge moves potential energy is converted to kinetic energy, so when potential energy increases to four times kinetic energy also increases to four times.
We have Kinetic energy,
So, when kinetic energy increases to four times speed increases by 2 times.
Chapter 17 Solutions
Physics: Principles with Applications
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