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TS EAMCET · Physics · Units and Dimensions

If \(\mathrm{F}_1\) and \(\mathrm{F}_2\) are the relative strengths of the gravitational and weak nuclear forces respectively, then \(\frac{F_2}{F_1}\) is nearly

  1. A \(100\)
  2. B \(10^{39}\)
  3. C \(10^{13}\)
  4. D \(10^{26}\)
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Answer & Solution

Correct Answer

(D) \(10^{26}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & F_1=\text { Gravitational force }=10^{-39} \\ & F_2=\text { Weak nuclear force }=10^{-13} \\ & \frac{F_2}{F_1}=\frac{10^{-13}}{10^{-39}}=10^{26} \end{aligned}\) Hence the ratio of \(\frac{F_2}{F_1}\) is \(10^{26}\).
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