Let the wavelength at which the the spectral emissive power of a black body (at a temperature T) is maximum, be denoted by `lamda_(max)` as the temperature of the body is increased by 1K, `lamda_(max)` decreases by 1 percent. The temperature T of the black body is

Options

A. 100 K
B. 99 K
C. 400 K
D. 288 K

Explanation

To solve the problem, we will use the relationship between the maximum wavelength of emission (\( \lambda_{max} \)) of a black body and its temperature (\( T \)). The relationship is given by Wien's displacement law:

\[ \lambda_{max} = \frac{0.289}{T} \]

where \( \lambda_{max} \) is in centimeters and \( T \) is in Kelvin.

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