Question

a proton of mass charge e is released from rest in a uniform electric felid of strength E . the time taken by it to tral a distance d in the feild is

Answer 1

We know that, electric field intensity is;

• E = F/q
• Eq = F - - - - - - - (i)
• { where E = electric field intensity, q = charge and F = Force }

Also, force is directly proportional to mass and accleration;

• F = ma
• Eq = ma - - - - - - - { from eq(i) }
• Eq/m = a

From question we have, the proton is released from rest and thus;

• Initial velocity(u) = 0

According to 2nd equation of motion:

• S = ut + ½at² - - - - - - - { put s = d, acc. to ques)
• d = 0t + ½ × Eq/m × t²
• d = ½ × Eq/m × t²
• 2d = Eq/m × t²
• 2md/Eq = t²
• √2md/Eq = t

Therefore, the total time taken will be √2md/Eq.

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