A spherical capacitor with a 2.0 mm gap between the shells has a capacitance of 150 pF. What are the diameters of the two spheres? Express your answers in centimeters to three significant figures. Enter your answers separated by a comma.

A) (D1 = 3.14 cm, D2 = 3.14 cm)
B) (D1 = 1.57 cm, D2 = 1.57 cm)
C) (D1 = 0.79 cm, D2 = 0.79 cm)
D) (D1 = 0.79 cm, D2 = 1.57 cm)

To find the diameters of the spheres in the spherical capacitor, we can use the formula for capacitance and solve for the radii of the inner and outer spheres before converting these values to diameters.

The correct option is not given.

Explanation:

The question relates to the calculation of the diameters of a spherical capacitor given the capacitance and the gap between the shells.

The capacitance of a spherical capacitor can be found using the formula C = 4πε0(r1r2) / (r2 - r1), where C is the capacitance, ε0 is the permittivity of free space, r1 is the radius of the inner sphere, and r2 is the radius of the outer sphere.

To solve for the diameters, we need to find r1 and r2, and then double these values. With a known capacitance of 150 pF and a gap of 2.0 mm between the shells, we can rearrange the formula to solve for r1 and r2, and then convert these radii to centimeters to find the diameters.

The correct option is not given.