Question

The kinetic energy of a charged particle decreases by 10 J as it moves from a point at potential 100 V to a point at potential 200 V. Find the charge on the particle.

Answer 1

Answer:

charge on the particle is 0.1 C

Explanation:

Potential difference = work done on the charge =change in kinetic energy

change in kinetic energy = 10 J

we know

work done on the charge =change in kinetic energy

q( change in potential )= change in kinetic energy

q(200-100)=10

q=10/100

q=0.1 C

charge on the particle is 0.1 C

Answer 2

The charge on the particle Is 0.1 C

Explanation:

Given  

Change in kinetic energy ∆k.E= 10 J

Kinetic energy :- It is defined as the work required to accelerate from rest to its stated velocity of a given mass. Having gained this energy during its acceleration, unless its speed varies, the body retains this kinetic energy.

Change in potential = ∆v = 200V - 100V

From work energy theorem

$\begin{aligned}&\Delta K \cdot E=q \Delta V\\&10=q(200-100)\\&10=q(100)\\&q=\frac{10}{100}\\&q=0.1 c\end{aligned}$

The charge on the particle Is 0.1 C