Yes, the bending of light around the Sun, known as gravitational lensing, does depend on the wavelength of light. Gravitational lensing occurs due to the curvature of spacetime caused by the gravitational field of massive objects like the Sun.
According to general relativity, which is the theory that describes gravity, the path of light is influenced by the curvature of spacetime. When light passes through the gravitational field of a massive object like the Sun, its path is bent. This bending is more pronounced for light that passes closer to the Sun.
The degree of bending, or deflection, experienced by light depends on its energy and frequency, which are related to its wavelength. According to general relativity, light with different wavelengths will experience slightly different amounts of bending. This effect is known as gravitational dispersion.
In practice, the bending of light due to gravitational lensing is typically measured using the deflection angle, which represents the angle by which the light is deviated from its original path. The deflection angle can be calculated using the equations of general relativity, taking into account the properties of the light, such as its wavelength or energy.
In summary, the bending of light around the Sun does depend on the wavelength, with different wavelengths experiencing slightly different amounts of bending due to the gravitational field. However, this effect is generally small and usually only becomes noticeable in the presence of extremely massive objects or over large distances.