Two neutron stars merge and generate gravitational waves, which are detected by LIGO. (a) The relationship between frequency f and time to merger t for the measured signal is We measure f = 1 5 (GMch ƒ-8/3 (87) 8/3 (GMch 5 5/3 t (1) 89.6 -3/8 Sketch this (you might like to flip the horizontal axis). Calculate the chirp mass Mch for the system, in terms of the mass of the sun. (b) The strain is given by h = 4G5/3 2/3 M/3 Rc4 ch (2) We measure a peak strain of 4.4 × 10-22, with an effective angular frequency of 500 s-1. What is the distance R to the source in megaparsecs? (c) An optical counterpart is identified with redshift z = = 0.0075. Estimate the Hubble constant, Ho.