Question

Particle A (of mass m and charge q) and particle B (of mass 6m and charge...

Particle A (of mass m and charge q) and particle B (of mass 6m and charge 2q) are each accelerated from rest through the same potential difference of 5000 V. Which one of the following statements regarding their resulting speeds is TRUE:

Select one:

The speed of particle B is 3 times the speed of particle A.

The speed of particle B is √3 times the speed of particle A.

The speed of particle A is √3 times the speed of particle B.

Particle A has the same speed as particle B.

The speed of particle A is 3 times the speed of particle B.

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Homework Answers

Answer #1

Answer:- The speed of particle A is √3 times the speed of particle B.

Solution:

Expression for the final velocity of a charged particle accelerated through potential difference V is given by,

s = (2*charge*V/Mass)½

Now first for particle A,

sA = (2* q* 5000/m)½

sA = (10000*q/m)½

Now for particle B,

sB = (2 * 2q*5000/6m)½

sB = (10000*q/3m)½

The ratio oh their speed's is,

sA/sB = (10000*q/m)½ / (10000*q/3m)½

sA/sB = √3

sA= √3 * sB

Thus the speed of paricle A is √3 times of particle B.

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