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A particle A has charge +q and a particle B has a charge +9q with each of them having the same mass m. If both the particles are allowed to fall from rest through the same potential difference, then the ratio of their speeds is:

A particle A has charge +q and a particle B has a charge +9q with each of them having the same mass m. If both the particles are allowed to fall from rest through the same potential difference, then the ratio of their speeds is:

Grade:12th pass

1 Answers

karthika
16 Points
6 years ago
Since they are falling from rest, we have kinetic energy.Now using kinetic energy K= work done by charge=charge×potential. And also we have K=1/2mv2. 
Therefore, ka/kb=q×v/9q×v = 1/2mva2/1/2mvb2.
Now on solving you will get ratios of speed.
 

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