Home
Class 12
PHYSICS
A single slit with the direction to a po...

A single slit with the direction to a point P on a distant screen as shown in the following figure. At P, the pattern has its second minimum (from its central maximum). If X and Y are the edge of the slit, what is the path length difference (PX) - (PY)?

A

`lambda // 2`

B

`lambda`

C

`3lambda // 2`

D

`2 lambda`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTERFERENCE AND DIFFRACTION

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (More than One Correct Choice Type)|23 Videos

  • INTERFERENCE AND DIFFRACTION

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Linked Comprehension)|21 Videos

  • INTERFERENCE AND DIFFRACTION

    RESNICK AND HALLIDAY|Exercise PROBLEMS|61 Videos

  • HYDROGEN ATOM

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS(Integer Type)|6 Videos

  • MAGNETIC FIELDS DUE TO CURRENTS

    RESNICK AND HALLIDAY|Exercise Practice Question (Integer Type)|4 Videos

Similar Questions

Explore conceptually related problems

The diffraction pattern of a single slit is shown in the figure. The point at which the path difference of the extreme rays is two times the wavelength is

The figure represents two identical slits in a Young’s double slit experiment. The width of each slit is b and distance between the centres of the two slits is d. Consider a point P on the screen that is close to centre of the screen. Delta x_(t) represents the optical path difference to point P from the top edges of the two slits and Delta x_(b) represents the optical path difference to P from the bottom edges of the two slits. Find Delta x_(b) – Delta x_(t) . It is given that D gtgt d.

In a modified Young's double-slit experiment, source S is kept in front of slit S_(1) as shown in the following figure. Find the phase difference at a point that is equidistant from slits S_(1) and S_(2) and point P that is in front of slit S_(1) in the following situations: If a liquid of refractive index n is filled between the screen and slits, what is the phase difference?

(a) Derive the relation a sin theta=lambda for the first minimum of the diffraction pattern produced due to a single slit of width ‘a’ using light of wavelength lambda . (b) State with reason, how the linear width of central maximum will be affected if (i) monochromatic yellow light is replaced with red light, and (ii) distance between the slit and the screen is increased. (c) Using the monochromatic light of same wavelength in the experimental set-up of the diffraction pattern as well as in the interference pattern where the slit separation is 1 mm, 10 interference fringes are found to be within the central maximum of the diffraction pattern. Determine the width of the single slit, if the screen is kept at the same distance from the slit in the two cases.

RESNICK AND HALLIDAY-INTERFERENCE AND DIFFRACTION -PRACTICE QUESTIONS (Single Correct Choice Type)
  1. If the Huygen's principle applies to any point anywhere in a beam pat...

    Text Solution

    |

  2. No fringes are seen in a single-slit diffraction pattern if

    Text Solution

    |

  3. Monochromatic plane waves of light are incident normally on a single ...

    Text Solution

    |

  4. A single slit with the direction to a point P on a distant screen as s...

    Text Solution

    |

  5. At the first minimum adjacent to the central maximum of a single-slit ...

    Text Solution

    |

  6. A diffraction-limited laser of length l and aperture diameter d gener...

    Text Solution

    |

  7. Two stars that are close together are photographed through a telescop...

    Text Solution

    |

  8. Resolving power of a telescope can be increased by

    Text Solution

    |

  9. In a double-slit diffraction experiment, the number of interference f...

    Text Solution

    |

  10. A double slit is illuminated with monochromatic light of wavelength 6...

    Text Solution

    |

  11. Two slits are separated by 2.00 xx 10^(-5) m. They are illuminated by...

    Text Solution

    |

  12. A 4.0 xx 10^(2) nm thick film of kerosene (n = 1.2) is floating on wa...

    Text Solution

    |

  13. A portion of a soap bubble appears green ( lambda = 500.0 nm in vacuu...

    Text Solution

    |

  14. Light of wavelength lambda in vacuum strikes a lens that is made of g...

    Text Solution

    |

  15. Light wavelength 650 nm is incident normally upon a glass plate the gl...

    Text Solution

    |

  16. Two glass plates, each with an index of refraction of 1.55, are separ...

    Text Solution

    |

  17. Light of 600.0 nm is incident upon a single slit. The resulting diffr...

    Text Solution

    |

  18. A spy satellite is in orbit at a distance of 1.0 xx 10^(6) m above th...

    Text Solution

    |

  19. Light from two sources, lambda(1)= 623 nm and lambda(2) = 488 nm, is ...

    Text Solution

    |

  20. Light from a laser (lambda = 640 nm) passes through a diffraction grat...

    Text Solution

    |