Question

# An ideal black body emits maximum intensity of radiation of wavelength $$5000 \dot{A}$$ at temperature $$1227^oC$$. If its temperature is increased by $${10^3}\space ^oC$$ then the maximum emission wavelength will be:

A
5000˙A
B
4000˙A
C
3500˙A
D
3000˙A

Solution

## The correct option is D $$3000 \dot{A}$$According to Wein's displacement law:$$\lambda T = b = constant$$$$T_{1} = 1500K$$$$\lambda_{1} = 5000\dot{A}$$Given that temperature increases by $$1000^{\circ}C$$$$T_{2} = 2500K$$$$\lambda_{1} T_{1} = \lambda_{2} T_{2}$$$$\lambda_{2} = \dfrac{T_{1}}{T_{2}} \lambda_{1} = \dfrac{1500}{2500} \times 5000 = 3000\dot{A}$$Physics

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