A microscope was initially placed in air (refractive index 1). It is then immersed in oil (refractive index 2). For a light whose wavelength in air is $\lambda$, calculate the change of microscope's resolving power due to oil and choose the correct option.
1
Resolving power will be \(\frac{1}{4}\) in the oil than it was in the air.
2
Resolving power will be twice in the oil than it was in the air.
3
Resolving power will be four times in the oil than it was in the air.
4
Resolving power will be \(\frac{1}{2}\) in the oil than it was in the air.