Home
Class 12
PHYSICS
Two point white dots are 1mm apart on a ...

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

A

5m

B

1m

C

6m

D

3m

Text Solution

Verified by Experts

The correct Answer is:
A
Let dots can be resolved by eye at maximum distance R then `(1.22 lambda)/(D) = (d)/(R)`
`implies R = (Dd)/(1.22 lambda) = ((3xx 10^(-3))(1 xx 10^(-3)))/(1.22 xx 500 xx 10^(-9))`
= 4. 92 m = 5 m
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The diameter of human eye lens is 2 mm . What should be the minimum separation between two points situated at 50 m from eye, to resolve tham. Take wavelength of light = 5000 Å .

The diameter of human eye lens is 2 mm . What should be the minimum separation between two points situated at 50 m from eye, to resolve tham. Take wavelength of light = 5000 Å .

For what distance is ray optics a good approximation when the aperture is 3 mm wide and the wavelength is 500 nm ?

A telescope of aperture diameter 5m is used to observe the moon from the earth. Distance between the moon and earth is 4 xx 10^5 km. Determine the minimum distance between two points on the moon's surface which can be resolved using this telescope. (Wave length of light is 5893 A^@ .

A telescope of aperture diameter 5m is used to observe the moon from the earth. Distance between the moon and earth is 4 xx 10^5 km. Determine the minimum distance between two points on the moon's surface which can be resolved using this telescope. (Wave length of light is 5893 A^@ .

In Young's double slit experiment ,momochromatic light of wavelength 630 nm illuminates the pair of slits and produces an interface pattern pattern in which two consecutive bright frings are separated by 8.1 mm. Another source of monochromatic light produce the interface pattern in which the two consecutive bright fringes are seperated by 7.2mm, find the wavelength of light from the second sources . What is the effect to on the interference fringes if the monochromatic sources is replaced by a source of white light ?

Two point sources distant 0.1m away viewed by a telescope. The objective is covered by a screen having a hole of 1mm width. If the wavelength fo the light used is 6550 A^(0) , then the maximum distance at which the two sources are seen just resolved, will be nearly

Joe bikes 4 kilometers to school . Because of the traffic and road conditions along the way , his speed varies. The dots on the graph above show his distance from the school at various times , starting at home at t=0 (black dot). After 5 minutes Joe is 3.2 kilometers from the school (second black dot). The data show that his speed is almost constant , and his distance from the school can be approximated by a straight line . The graph of the function that models Joe's distance from school as a function of time , in minutes , is shown as a solid line. Which of the following equations best represents this function ?

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

A normal human cye can see an object making an angle of 1.8^(@) at the eye. What is the approximate height of object which can be seen by an eye placed at a distance of 1 m from the object.

ALLEN-GEOMETRICAL OPTICS-EXERCISE-05 (A)
  1. A plano-convex lens of refractive index 1.5 and radius of curvature 30...

    Text Solution

    |

  2. A fish looking up throughthe water sees the outside the world, contain...

    Text Solution

    |

  3. Two point white dots are 1mm apart on a black paper. They are viewed b...

    Text Solution

    |

  4. A thin glass (refractive index 1.5) lens has optical power of-5 D in a...

    Text Solution

    |

  5. The refractive index fo glass is 1.520 for red light and 1.525 for blu...

    Text Solution

    |

  6. Two lenses of power -15D and +5 D are in contact with each other. The ...

    Text Solution

    |

  7. A student measuring the focal length of convex lens by putting an obje...

    Text Solution

    |

  8. A transparent solid cylindrical rod has a refractive index of (2)/(sqr...

    Text Solution

    |

  9. The XY plane is the boundary between two tranparednt media. Medium 1 w...

    Text Solution

    |

  10. A car is fitted with a convex side-view mirror of focal length 20 cm A...

    Text Solution

    |

  11. When monochromatic red light is used instead of blue light in a convex...

    Text Solution

    |

  12. A beaker contains water up to a height h1 and K oil above water up to...

    Text Solution

    |

  13. An object 2.4 m in front of a lens forms a sharp image on a film 12cm ...

    Text Solution

    |

  14. The graph between angle of deviation (delta) and angle of incidence (i...

    Text Solution

    |

  15. Diameter of plano-convex lens is 6 cm and thickness at the centre is 3...

    Text Solution

    |

  16. A thin convex lens made from crown glass (mu = 3/2), has focal length...

    Text Solution

    |

  17. A green light is incident from the water to the air – water interface ...

    Text Solution

    |

  18. You are asked to design a shaving mirror assuming that a person keeps ...

    Text Solution

    |

  19. A thin convex lens of focal length 'f' is put on a plane mirror as sho...

    Text Solution

    |

  20. Assuming human pupil to have a radius of 0.25 cm and a comfortable vie...

    Text Solution

    |