What is the minimum distance between two objects which can be resolved by a microscope having the visual angle of `30^@` when light of wavelength 500 nm is used ?

The vertical angle subtended by two points on a glass block at the objective of a microscope is 20^@ .Calculate the minimum distance between the points if they are just resolved when illuminated by light of wavelength 600 nm. What is the increase in resolving power of the instrument if the objective is immersed in oil of refractive index 1.5?

What is the minimum distance any two particles of a medium which always have the same speed if a sine wave travels through the medium ?

The distance between two consecutive bright bands in biprism experiment is 0.32 mm, when red light of wavelength 6400 overset (@)(A) is used. By how much will this distance change if blue light of wavelength 4800 overset (@)(A) is used with the same setting?

The distance between two consecutive dark bands in a Young's experiment is 0.32 mm when red light of wavelength 6400 overset (@)(A) is used . By how much will this distance change if yellow light of wavelength 5900 overset (@)(A) is used with the same setting .

In biprism experiment the distance between 4th and 13th bright fringes on same side is measured when light of wavelength 6000 overset (@)(A) is used.On replacing the source of light by another of different wavelength without disturbing the adjustment of the apparatus, it is found that the distance between the 5th and 15th bright fringe on same side is the same as distance measured before. What is the wavelength of light used?

What happens to the gravitational force between two objects when the distance between them is: (i) doubled? (ii) halved?

A beam of light consisting of two wavelengths, 650 nm and 520 nm is used to obtain interference fringes in a Young's double-slit experiment. If distance between slit and screen is 1.2 m and distance between two-slits is 2 mm. Find the distance of the third bright fringe on the screen from the central maximum for wavelength 650 nm.

Read the following paragraph and answer the following questions given below it : Construction of a compound microscope : (i) Acompound microscope consists of a metal tube fitted with two convex lenses at the two ends. These lenses are called the objective lens ( the lens directed towards the object ) and the eyepiece ( the lens directed towards the eye ). Both the lenses are small in size , but the cross section of the objective lens has a short focal length . the focal length of the eyepiece is more than that of the objective lens . (ii) The metal tube is mounted on a stand . thr principal axes of the objective lens and the eyepiece are along the same line . The distance between the object and objective lens can be changed with a screw . It is possible to change the distance between the objective lens and the eyepiece. Working : (i) The object to be observed is illuminated and placed in front of the objective lens. slightly beyond the focal length of the objective lens. it's real , inverted and enlarged image is formed by the objective lens on the other side. (ii) This intermediate image lies with in the focal length of the eyepiece. It serves as an object for the eyepiece. The eyepiece works as a simple microscope . the final image is virtual, highly enlarged and inverted with respect to the original object . It can be formed at the minimum distance of distinct vision from the eyepiece . The final image is observed by keeping the eye close to the eyepiece. Use: This microscope is used to observe blood cells , microorganisms , etc. State which distance is adjusted to observe the object with a compound microscope ?

Read the following paragraph and answer the following questions given below it : Construction of a compound microscope : (i) Acompound microscope consists of a metal tube fitted with two convex lenses at the two ends. These lenses are called the objective lens ( the lens directed towards the object ) and the eyepiece ( the lens directed towards the eye ). Both the lenses are small in size , but the cross section of the objective lens has a short focal length . the focal length of the eyepiece is more than that of the objective lens . (ii) The metal tube is mounted on a stand . thr principal axes of the objective lens and the eyepiece are along the same line . The distance between the object and objective lens can be changed with a screw . It is possible to change the distance between the objective lens and the eyepiece. Working : (i) The object to be observed is illuminated and placed in front of the objective lens. slightly beyond the focal length of the objective lens. it's real , inverted and enlarged image is formed by the objective lens on the other side. (ii) This intermediate image lies with in the focal length of the eyepiece. It serves as an object for the eyepiece. The eyepiece works as a simple microscope . the final image is virtual, highly enlarged and inverted with respect to the original object . It can be formed at the minimum distance of distinct vision from the eyepiece . The final image is observed by keeping the eye close to the eyepiece. Use: This microscope is used to observe blood cells , microorganisms , etc. State the use of a compound microscope ?