Question

Following figure shows spectrum of an ideal black body at four different temperatures The number of correct statement/s from the following is ________

[A.] \(T_4 > T_3 > T_2 > T_1\)
[B.] The black body consists of particles performing simple harmonic motion.
[C.] The peak of the spectrum shifts to shorter wavelengths as temperature increases.
[D.] \(\frac{T_1}{\nu_1} = \frac{T_2}{\nu_2} = \frac{T_3}{\nu_3} \neq \text{constant}.\)
[E.] The given spectrum could be explained using quantization of energy.

Hint:

Wien’s Displacement Law:} \(\lambda_{\text{max}} \propto \frac{1}{T}\).
Blackbody radiation follows Planck’s quantization of energy: \(E = h\nu\).

Answer 1

Correct Answer: 2

Statement A: Incorrect. From the graph, the temperatures are ordered as \(T_4 > T_3 > T_2 > T_1\), since higher temperature corresponds to higher energy distribution.
Statement B: Incorrect. Blackbody radiation is not associated with simple harmonic motion; it arises from quantized energy emissions.
Statement C: Correct. According to Wien’s Displacement Law, as temperature increases, the peak of the spectrum shifts to shorter wavelengths (higher energy).
Statement D: Incorrect. The temperature ratio does not directly correspond to the velocity ratio in this context.
Statement E: Correct. Blackbody radiation is explained by Planck’s quantization of energy.
Thus, the correct statements are (C) and (E).