A black body at $$12270C$$ emits radiation with maximum intensity at a wavelength of $$5000$$ $$A0$$. If the temperatures of the body is increased by $$10000$$ c, the maximum intensity will be observed at

Question

A black body at $$12270C$$ emits radiation with maximum intensity at a wavelength of $$5000$$ $$A0$$. If the temperatures of the body is increased by $$10000$$ c, the maximum intensity will be observed at

Infinity Learn · Accepted Answer

The product of wavelength corresponding to maximum intensity of radiation and temperature of the body in Kelvin is constant.According to Wien's law,             λmT $$=$$ constant $$(say$$ $$b)Where$$ λm is a wavelength corresponding to maximum intensity of radiation and T is temperature of the body in Kelvin.         λm'λ$$m=$$ TT'Given, T $$=$$ $$1227$$ $$+$$ $$273$$ $$=$$ $$1500$$ K,           T' $$=$$ $$1227$$ $$+$$ $$1000$$ $$+273$$ $$=$$ $$2500$$ K             λm $$=$$ $$5000$$ $$A0Hence$$, λm' $$=$$ $$15002500$$×$$5000$$ $$=$$ $$3000$$ $$A0$$

A black body at $1227^{0} C$ emits radiation with maximum intensity at a wavelength of 5000 $\overset{0}{A}$ . If the temperatures of the body is increased by $1000^{0} c$ , the maximum intensity will be observed at

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A black body at 12270C emits radiation with maximum intensity at a wavelength of 5000 A0. If the temperatures of the body is increased by 10000 c, the maximum intensity will be observed at

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A black body at $1227^{0} C$ emits radiation with maximum intensity at a wavelength of 5000 $\overset{0}{A}$ . If the temperatures of the body is increased by $1000^{0} c$ , the maximum intensity will be observed at