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MHT CET · Physics · Dual Nature of Matter

The de-Broglie wavelength of a neutron at \(27^{\circ} \mathrm{C}\) is ' \(\lambda_0\) '. What will be its wavelength at \(927^{\circ} \mathrm{C}\) ?

  1. A \(\frac{\lambda_0}{4}\)
  2. B \(\frac{\lambda_0}{3}\)
  3. C \(\frac{\lambda_0}{2}\)
  4. D \(\frac{3 \lambda_0}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\lambda_0}{2}\)

Step-by-step Solution

Detailed explanation

\( T_1 = 27 + 273 = 300 \, \mathrm{K} \) \( T_2 = 927 + 273 = 1200 \, \mathrm{K} \)