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1- the index of refraction of a substance is 1.87. find thespeed of light in the

ID: 1758148 • Letter: 1

Question

1- the index of refraction of a substance is 1.87. find thespeed of light in the substance. 2- the electric field of a capacitance 5.00nF is storing1.50KJ of electrical energy. Find the charge on thecapacitor. 3- Two strings are oscillating. One string oscillates with aperiod of 21.5ms. The other string oscillates with a period of23.7ms. Find the beat frequency. 1- the index of refraction of a substance is 1.87. find thespeed of light in the substance. 2- the electric field of a capacitance 5.00nF is storing1.50KJ of electrical energy. Find the charge on thecapacitor. 3- Two strings are oscillating. One string oscillates with aperiod of 21.5ms. The other string oscillates with a period of23.7ms. Find the beat frequency.

Explanation / Answer

the index of refraction of a substance  n = 1.87
the speed of light in the substance V = c / n                                                         =( 3 * 10 ^ 8 m / s ) / 1.87                                                        = 1.604 * 10 ^ 8 m / s (2). Capacitance C = 5 * 10 ^ -9 F electric energy E = 1.5 * 10 ^ 3 J we know E = Q ^ 2 / 2C from this charge on capacitor Q = [ 2C E ]                                                  = 2.449 * 10 ^ -3 C (3). beat frequency = f ~ f '                                =( 1/ T ) ~ ( 1/ T ' )                                =( 1/ 21.5 ms ) - ( 1/ 23.7 ms )                               = 46.51 - 42.19                               = 4.315 Hz