Limit of Resolution

Q. A telescope of diameter 2m uses light of wavelength $5000\dot{A}$ for viewing stars. The minimum angular separation between two stars whose image is just resolved by this telescope is

1. $4\times {10}^{4}rad$
2. $0.25\times {10}^{-6}rad$
3. $0.31\times {10}^{-6}rad$
4. $5.0\times {10}^{-3}rad$

Q. In a biprism experiment , the distance between the second and seventh bright fringes on the same side of the central bright fringe is 1.215 mm , that between the slit and biprism is 20 cm and the distance between the eyepiece and biprism is 130 cm. The magnified and diminished virtual images of the slit for two conjugate positions of a convex lens inserted between the slit and eyepiece are 4.5 mm and 2 mm , respectively. Find the wavelength of light used.

Q. Where does the mirror needs to be placed in a medium having refractive index $4/3$ (i.e. $x$), if image is to be formed at same place as object $O$?

1. $5\text{cm}$
2. $2\text{cm}$
3. $6\text{cm}$
4. $3\text{cm}$

Q. A telescope of diameter 2m uses light of wavelength $5000\dot{A}$ for viewing stars. The minimum angular separation between two stars whose image is just resolved by this telescope is

1. $4\times {10}^{4}rad$
2. $0.25\times {10}^{-6}rad$
3. $0.31\times {10}^{-6}rad$
4. $5.0\times {10}^{-3}rad$

Q. The separation $L$ between the objective $(f=0.5cm)$ and the eyepiece $(f=5cm)$ of a compound microscope is $7cm$.

If a small object be placed so that the eye is least strained to see the image, find the angular magnification produced by the microscope.

1. $20$
2. $25$
3. $15$
4. $\frac{5}{3}$

Q. what is the value of1light year in meter

Q. Two points separated by a distance of 0.1 mm can just be resolved by a microscope when light of wavelength $6000\stackrel{\circ }{A}$ is used. If light of wavelength 4800 Å is used, this limit of resolution becomes

1. 0.08 mm
2. 0.10 mm
3. 0.12 mm
4. 0.06 mm