\(12 \times 10^{-4} T\) જેટલા ચુંબકીય ક્ષેત્રને લંબરૂપે \(3.2 \times 10^7 ms^{-1}\) ની ઝડપથી ગતિ કરતાં ઇલેક્ટ્રોનના ગતિમાર્ગની ત્રિજ્યા કેટલી હશે ?\(\left(m=9 \times 10^{-31} kg\right.\) અને \(\left.e=1.6 \times 10^{-19} C \right)\)

A 30
B 13
C 15
D 26

Verified Solution

Answer & Solution

Correct Answer

(C) 15

Step-by-step Solution

Detailed explanation

C
વર્તુળાકાર ગતિમાર્ગની ત્રિજ્યા,
\(B =12 \times 10^{-4} T\)
\(v=3.2 \times 10^7 m / s\)
\(r=\frac{m U }{q B}\)
\(\begin{array}{l}r=\frac{9 \times 10^{-31} \times 3.2 \times 10^7}{1.6 \times 10^{-19} \times 12 \times 10^{-4}} \\ r=15 cm\end{array}\)

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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