A blackbody emits radiation at rate E at temperature T. At what temperature will its radiation rate become 256E?

Options

  • A. 2T
  • B. 3T
  • C. 4T
  • D. 8T
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

C. 4T

Detailed Explanation

Since E is proportional to T⁴, the required temperature ratio satisfies x⁴ = 256 = 4⁴, so the temperature is 4T.