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Question: A black body emits radiations of maximum intensity for the wavelength of 5000 Å when the temperature...

A black body emits radiations of maximum intensity for the wavelength of 5000 Å when the temperature of the body is 12270C. If the temperature of the body is increased by 10000C, the maximum intensity would be observed at –

A

1000Å

B

2000Å

C

5000 Å

D

3000Å

Answer

3000Å

Explanation

Solution

l = bt\frac{b}{t} ; λ2λ1\frac{\lambda_{2}}{\lambda_{1}}=T1T2\frac{T_{1}}{T_{2}}=15002500\frac{1500}{2500}= 35\frac{3}{5}

l2 = 35\frac{3}{5} l1 = 3000Å