Final answer:
The angular momentum of an electron in a circular orbit around a nucleus can be calculated using the formula L = mvr. With the given radius of 5.3 x 10^-11 m and speed of 3 x 10^6 m/s, the angular momentum is 1.4493 x 10^-34 kg·m^2/s.
Step-by-step explanation:
The student is asking about the calculation of the angular momentum of an electron revolving around a nucleus in a circular orbit. To find the angular momentum (L) of the electron, we use the formula L = mvr, where m is the mass of the electron, v is its velocity and r is the radius of the circular orbit.
Given that the radius (r) is 5.3 x 10-11 m and the speed (v) is 3 x 106 m/s, the mass of the electron (m) is known to be 9.11 x 10-31 kg. Hence, the angular momentum can be calculated as:
L = m x v x r = (9.11 x 10-31 kg) x (3 x 106 m/s) x (5.3 x 10-11 m) = 1.4493 x 10-34 kg·m2/s.