A black body is at a temperature of 5760  K. The energy of radiation emitted by the body at wavelength 250  nm is U 1 , at wavelength 500  nm is U 2 and that at 1000  nm is U 3 . Wien's constant, b = 2.88 × 10 6

Question

A black body is at a temperature of 5760 &#160;K. The energy of radiation emitted by the body at wavelength 250 &#160;nm is U 1 , at wavelength 500 &#160;nm is U 2 and that at 1000 &#160;nm is U 3 . Wien's constant, b = 2.88 &#215; 10 6 &#160;nm K. Which of the following is correct?

Quantrex Academy · Accepted Answer

Correct answer: D. ( U ₃ U ₁ )

Given Temperature = 5760 &#160; K Wien's constant b = 2 . 88 &#215; 10 6 &#160; nm &#160; K According to Wien's displacement law, maximum amount of emitted radiation corresponding to &#955; m = b T &#955; m = 2 . 88 &#215; 10 6 &#160; nm &#160; K 5760 K = 500 &#160; nm From the graph, U 1 &#60; U 2 &#62; U 3

A black body is at a temperature of 5760  K. The energy of radiation emitted by the body at wavelength 250  nm is U 1 , at wavelength 500  nm is U 2 and that at 1000  nm is U 3 . Wien's constant, b = 2.88 × 10 6  nm K. Which of the following is correct?

Options

Correct answer

Step-by-step solution

More from Thermal Properties of Matter

A black body is at a temperature of 5760 &#160;K. The energy of radiation emitted by the body at wavelength 250 &#160;nm is U 1 , at wavelength 500 &#160;nm is U 2 and that at 1000 &#160;nm is U 3 . Wien&#39;s constant, b = 2.88 &#215; 10 6 &#160;nm K. Which of the following is correct?

Options

Correct answer

Step-by-step solution

More from Thermal Properties of Matter

A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U 1 , at wavelength 500 nm is U 2 and that at 1000 nm is U 3 . Wien's constant, b = 2.88 × 10 6 nm K. Which of the following is correct?