TS EAMCET · Physics · Electrostatics
An electron and a positron enter a uniform electric field \(E\) perpendicular to it with equal speeds at the same time. The distance of separation between them in the direction of the field after a time ' \(t\) ' is \(\left(\frac{\mathrm{e}}{\mathrm{m}}\right.\) is specific charge of electron \()\)
- A \(\frac{2 \text { Eet }^2}{\mathrm{~m}}\)
- B \(\frac{\text { Eet }^2}{\mathrm{~m}}\)
- C \(\frac{\text { Eet }^2}{2 \mathrm{~m}}\)
- D Zero
Answer & Solution
Correct Answer
(B) \(\frac{\text { Eet }^2}{\mathrm{~m}}\)
Step-by-step Solution
Detailed explanation
Relative acceleration \(a_{rel} = \frac{eE}{m} - \left(-\frac{eE}{m}\right) = \frac{2eE}{m}\). Separation \( \Delta y = \frac{1}{2} a_{rel} t^2 = \frac{1}{2} \left(\frac{2eE}{m}\right) t^2 = \frac{Ee t^2}{m}\).
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