Solveeit Logo

Question

Question: If the wavelengths of maximum intensity of radiation emitted by sun and moon are 0.5 × 10<sup>–6</su...

If the wavelengths of maximum intensity of radiation emitted by sun and moon are 0.5 × 10–6metre and 10–4metre respectively, the ratio of their temperature is –

A

1100\frac{1}{100}

B

1200\frac{1}{200}

C

100

D

200

Answer

200

Explanation

Solution

ls = 0.5 × 10–6, lm = 10–4

\ TsTm=λmλs=1040.5×106=1000.5×10\frac{T_{s}}{T_{m}} = \frac{\lambda_{m}}{\lambda_{s}} = \frac{10^{- 4}}{0.5} \times 10^{6} = \frac{100}{0.5} \times 10= 200