Following diffraction pattern was obtained using a diffraction grating using two different wavelengths \( \lambda_1 \) and \( \lambda_2 \). With the help of the figure identify which is the longer wavelength and their ratios.
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For diffraction patterns with similar maxima, the wavelengths involved are likely equal.
\( \lambda_2 \) is longer than \( \lambda_1 \) and the ratio of the longer to the shorter wavelength is 1.5
\( \lambda_1 \) is longer than \( \lambda_2 \) and the ratio of the longer to the shorter wavelength is 1.5
\( \lambda_1 \) and \( \lambda_2 \) are equal and their ratio is 1.0
\( \lambda_2 \) is longer than \( \lambda_1 \) and the ratio of the longer to the shorter wavelength is 2.5
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The Correct Option isC
Solution and Explanation
Step 1: Diffraction pattern analysis.
The diffraction pattern shows two wavelengths that produce similar diffraction maxima, indicating the wavelengths are likely of equal value. The ratio of their lengths is 1.0.
Step 2: Conclusion.
Thus, the correct answer is option (C).
Final Answer:
\[
\boxed{\text{(C) } \lambda_1 \text{ and } \lambda_2 \text{ are equal and their ratio is 1.0}}
\]
