Answer to Question #55064 in Astronomy | Astrophysics for Lia

Question

The Crab pulsar has a very steep radio spectral index of approximately -3 (i.e. v−3) over a frequency range from 10MHz to 10GHz. If the distance to the Crab pulsar is about 2 kpc, the measured flux density at 400MHz is 650mJy, and the spin-down luminosity (i.e. ˙E ) as derived in class is 4×1038 erg s−1, what fraction of ˙E does the radio emission account for?