Final answer:
The question pertains to calculating the separation between coherent light sources using a biprism in an interference experiment in physics. However, the available data is incomplete, lacking the base thickness of the biprism, making it impossible to provide the separation value without additional information.
Step-by-step explanation:
To calculate the separation between coherent light sources using a biprism, we can apply principles from optics, particularly interference and refraction. The separation (d) can be found using the formula for the lateral displacement of a light ray passing through a prism with a small refractive angle α, which is given by Δx = (t)(n - 1)α, where t is the thickness of the prism at the base of the biprism, n is the refractive index, and α is the angle of the prism. However, the given question does not provide the thickness (t), so we are unable to calculate the separation without this information. Typically, in a biprism interference experiment, the separation between the virtual coherent sources is considered to be twice the lateral displacement of the ray at the base of the biprism.
The information provided in the question is insufficient as it lacks the thickness of the biprism base needed for the calculation. Thus, even though we have the angle of 2° (which should be converted to radians for calculations), the distance of the slit from the biprism (10 cm), and the refractive index (1.5), without the thickness of the biprism, we cannot proceed with the calculation.