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GUJCET · Physics · Magnetism And Matter

સમાન ચુંબકીયક્ષેત્રમાં વર્તુળાકાર ગતિ કરતાં α-કણ અને પ્રોટોનના આવર્તકાળનો ગુણોત્તર __________ .

  1. A 2:1
  2. B 1:2
  3. C 4:1
  4. D 1:4
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Correct Answer

(A) 2:1

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Detailed explanation

A.2:1
\(T =\frac{2 \pi m}{q B}\)
\(\therefore \quad T \propto \frac{m}{q}\)
\(\therefore \frac{ T _\alpha}{ T _p}=\frac{m_\alpha}{q_\alpha} \times \frac{q_p}{m_p}\)
\(\begin{aligned} \therefore \frac{ T _\alpha}{ T _p} =\frac{4 m_p}{m_p} \times \frac{q_p}{2 q_p} \\ =2: 1\end{aligned}\)
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