Astronomers observe two main-sequence stars, Star A and Star B

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

Astronomers observe two main-sequence stars, Star A and Star B. A spectrometer measures the peak wavelength of the continuous spectrum emitted by each star. For Star A the peak occurs at λpeak,A=550 nm\lambda_{\text{peak},A}=550\,\text{nm}, while for Star B the peak occurs at λpeak,B=450 nm\lambda_{\text{peak},B}=450\,\text{nm}. Previous studies have established Star A’s surface temperature as TA=5.30×103 KT_A=5.30\times10^{3}\,\text{K}. Assume each star behaves as an ideal blackbody. (a) Determine the ratio TB/TAT_B/T_A of the surface temperature of Star B to that of Star A. Show all reasoning. (b) Calculate the numeric value of Star B’s surface temperature TBT_B. Express your answer with an appropriate number of significant figures. (c) Visible-light astronomers describe Star A as having a yellow-white hue. Describe qualitatively how the color of Star B would differ from that of Star A and explain the physical basis for this difference.

Related theory

Browse the problem library