Question

The monochromatic flux of the Crab pulsar has a frequency dependence of Fν∝ν^−0.3 between 10^10Hz and 10^12Hz. What is the slope of a graph of log Fλ against log λ ? At which wavelength would you expect the flux to peak?

The monochromatic flux of a radio source has a frequency dependence of F, a v-2.5 when measured in frequency units. What is the slope of a graph of log Fi against log \? At which end of the electromagnetic spectrum would you expect to see the most flux?

Answer 1

0 Flux favoz f&v-2.5 Letk= Proportionality constant ve [10", 1012] H₂ F=ku -2.5 Now, uk F₂k (G Fakc-2.5 x 2 25 1916) log (Kc25 222.5) 2 log(f) = log (ke 29) + log 225 ... Log Fy = 2.5 x log 2 + log (kes) Comparing with 9 Slope of graph [logfa vs 2] = 12.5 Slope is positive and constant. So, as increases Flux increases by same proportion. .. fluxis max. = 1000 Hz (For given range + C. at max. a min. frequency