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Chapter 37: Q. 11 (page 1081)

An alpha particle (a bare helium nucleus withq=+2e) acceler-ates across a100V potential difference, starting from rest. What is the particle’s kinetic energy in eV when it reaches the negative electrode? This question requires no mathematics beyond what you can do in your head.

Short Answer

Expert verified

The particle kinetic energy in eV when it reaches the negative electrode is 200eV.

Step by step solution

01

Given information

We have given

q=2e

∆V=100V

And it is starting from rest so initial velocity is zero and due to which InitialKineticEnergy(Ki)=0

02

Explanation

As we know,

Work done by all forces = Change in Kinetic Energy

Wall= ∆K.E.

Wall=Kf-Ki

Since here work is only done due to potential difference so-

Wp.d.=Kf-0​q∆V=Kf

2e×100V=Kf200eV=Kf

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