Resolving Power

Resolving power of a telescope can be increased by

In telescopes for a given wavelength, the objectives with large aperture are used for

A telescope with objective diameter $R$ is used to observe a distant star emitting light of wavelength 500 nm, at a resolution of $5 \times 10^{-7}$ radian. The value of $R$ is

______ cm.

Some distant star is to be observed by some telescope of diameter of objective lens $a$, at an angular resolution of $3.0 \times 10^{-7}$ radian. If the wavelength of light from the star reaching the telescope is 500 nm, the minimum diameter of the objective lens of the telescope is ______ cm. (nearest interger)

To improve the resolving power of a compound microscope we should

In an optical instrument- microscope, the wavelength of light used are $\lambda_1 = 6800$ Å and $\lambda_2 = 5100$ Å. The ratio of the resolving power of microscope corresponding to '$\lambda_1$ ' to that for '$\lambda_2$' is

Converging lens of telescope $5$ cm in diameter has focal length $25$ cm. In the focal plane of the lens the distance between the centres of the Fraunhofer diffraction pattern is (wavelength of light used = $5000$ Å, Rayleigh's criterion is satisfied)

Resolving power of a telescope can be increased by increasing

Assuming human pupil to have radius of 0.25 cm and comfortable viewing distance of 25 cm, the minimum separation between the two objects that human eye can resolve at 500 nm wavelength is nearly

Two points separated by a distance of 0.1 mm can just be seen in microscope when light of wavelength $6000\text{ Å}$ is used. If the light of wavelength $4800\text{ Å}$ is used, the limit of resolution will become

A person is observing a bacteria through a compound microscope. For better observation and to improve its resolving power he should

A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving power he should. (Select the best option)

The aperture of the objective is 24.4 cm. The resolving power of this telescope, if a light of wavelength 2440 $\text{Å}$ is used to see the object will be:

Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of telescope whose objective has a diameter of 2 m is:

When wavelength of light used in optical instruments A and B are 4500$\text{Å}$ and 6000$\text{Å}$ respectively, the ratio of resolving power of A to B will be

The aperture diameter of a telescope is 5m. The separation between the moon and the earth is 4 × 105 km. With light of wavelength of 5500 $\text{Å}$, the minimum separation between objects on the surface of moon, so that they are just resolved, is close to:

Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600nm. coming from a distant object, the limit of resolution of the telescope is close to :-

Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star :-

The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 $\text{Å}$ is used, the minimum separation between two points, to be seen as distinct, will be:

The ratio of resolving powers of an optical microscope for two wavelength $\lambda$1 = 4000 $\text{Å}$ and $\lambda_2$ = 6000 $\text{Å}$ is

Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600 nm. To see the stars just resolved by the telescope, the minimum distance between them should be (1 light year = 9.46 $\times$ 1015 m) of the order of:

Assuming human pupil to have a radius of $0.25\text{ cm}$ and a comfortable viewing distance of $25\text{ cm}$, the minimum separation between two objects that human eye can resolve at $500\text{ nm}$ wavelength is:

The diameter of the objective lens of microscope makes an angle $\beta$ at the focus of the microscope. Further, the medium between the object and the lens is an oil of refractive index n. Then the resolving power of the microscope.

The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 $\text{Å}$ is of the order of

Two point white dots are $1\text{ mm}$ apart on a black paper. They are viewed by eye of pupil diameter $3\text{ mm}.$ Approximately, what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light $= 500\text{ nm}$ ]

A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is 5000 $\text{Å}$, is of the order of

Wavelengths of light used in an optical instrument are $\lambda_1 = 4000\text{ Å}$ and $\lambda_2 = 5000\text{ Å},$ then ratio of their respective resolving powers (corresponding to $\lambda_1$ and $\lambda_2$) is: