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यदि 10⁹ इलेक्ट्रॉन प्रत्येक सेकण्ड में, एक पिण्ड से दूसरे पिण्ड पर स्थानान्तरित होते हैं, तो दूसरे पिण्ड पर 1 C कुल आवेश प्राप्त करने के लिए आवश्यक समय होगा-

March 22, 2026Physics

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Answer

\textbf{(c) 198 वर्ष}

5 steps

Charge of one electron
$e = 1.6 \times 10^{-19} \, \mathrm{C}$
Rate of electrons transferred
$n = 10^{9} \, \mathrm{electrons/second}$
Current produced
$I = n \times e$ $I = 10^{9} \times 1.6 \times 10^{-19} \, \mathrm{C/s}$ $I = 1.6 \times 10^{9-19} = 1.6 \times 10^{-10} \, \mathrm{A}$
Time required for $1 \, \mathrm{C}$ charge
Total charge $Q = 1 \, \mathrm{C}$
$t = \frac{Q}{I}$ $t = \frac{1}{1.6 \times 10^{-10}} \, \mathrm{s}$ $t = \frac{10^{10}}{1.6} = 6.25 \times 10^{9} \, \mathrm{s}$
Convert seconds to years
$1 \, \mathrm{year} = 365 \, \mathrm{days/year} \times 24 \, \mathrm{h/day} \times 3600 \, \mathrm{s/h} = 3.156 \times 10^{7} \, \mathrm{s/year}$
$t_\mathrm{years} = \frac{6.25 \times 10^{9}}{3.156 \times 10^{7}}$ $t_\mathrm{years} = \frac{6.25}{3.156} \times 10^{2} \approx 1.98 \times 10^{2} = 198 \, \mathrm{years}$
(c) 198 वर्ष

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