બે વિજભાર ધરાવતી પ્લેટ વચ્ચે \(\vec E\) જેટલું વિદ્યુતક્ષેત્ર પ્રવર્તે છે. એક વિજભાર ધરાવતો કણ આ પ્લેટની વચ્ચે વિદ્યુતક્ષેત્ર \(\vec E\)ને લંબ રીતે દાખલ થાય છે. તો તે પ્લેટની વચ્ચે કેવા માર્ગે ગતિ કરશે?

A સીધી રેખામાં
B અતિવલય
C પરવલય
D વરતુળાકાર

Verified Solution

Answer & Solution

Correct Answer

(C) પરવલય

Step-by-step Solution

Detailed explanation

When charged particle enters perpendicularly in an electric field, it describes a parabolic path \(y=\frac{1}{2}\left(\frac{Q E}{m}\right)\left(\frac{x}{4}\right)^{2}\) This is the equation of parabola.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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