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GUJCET · Physics · Dual Nature of Radiation and Matter

જો \(6000 \)Å તરંગલંબાઈવાળા ફોટોનની ઊર્જા \(3.2 \times 10-19 \mathrm{~J}\) હોય તો\(4000\)Å તરંગલંબાઈવાળા ફોટોનની ઊર્જા = ____________-

  1. A \(4.44 \times 10^{-19} \mathrm{~J}\)
  2. B \(2.22 \times 10^{-19} \mathrm{~J}\)
  3. C \(1.11 \times 10^{-19} \mathrm{~J}\)
  4. D \(4.80 \times 10^{-19} \mathrm{~J}\)
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Answer & Solution

Correct Answer

(D) \(4.80 \times 10^{-19} \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

D
\(\mathrm{E}=\frac{h c}{\lambda}\) પરથી
\(\frac{E_2}{E_1}=\frac{\lambda_1}{\lambda_2}\)
\(\frac{\mathrm{E}_2}{3.2 \times 10^{-19}}=\frac{6 \times 10^{-7}}{4 \times 10^{-7}}\)
\(E_2=\frac{6 \times 3.2 \times 10^{-19}}{4}\)
\(E_2=4.80 \times 10^{-19} \mathrm{~J}\)
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