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आरेख में बिन्दु आवेशों के दो युगल (\(\mathrm{q_1}\) और \(\mathrm {q_2}\)) तथा (\(\mathrm{q_2}\) और \(\mathrm {q_3}\)) के लिए कूलॉम बल F और \(\left(\frac 1{r^2}\right)\) के बीच ग्राफ दर्शाए गए हैं। आवेशों का अनुपात \(\left( \frac {q_1}{q_3}\right)\) है :

 two pairs of point charges

(A) \(\sqrt 3\)

(B) \(\frac 1{\sqrt 3}\)

(C) \(3\)

(D) \(\frac 13\)

1 Answer

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Best answer

सही विकल्प है (D) \(\frac 13\)

\(F = \frac {kq_1q_2}{r^2}\)

\(F \ \text{ v/s }\ \frac 1{r^2}\)

\(\frac{kq_1q_2}{kq_2q_3} = \frac{\tan 30^\circ}{\tan 60^\circ}\)

\(\frac{q_1}{q_3} = \frac{\frac 1 {\sqrt 3}}{\sqrt 3}\)

\(\frac{q_1}{q_3} = \frac 1 {\sqrt 3} \times \frac 1{\sqrt 3} \)

\(\frac{q_1}{q_3} = \frac 13\)

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