Home
Class 12
PHYSICS
A high-powered laser beam (lambda=600nm)...

A high-powered laser beam `(lambda=600nm)` with a beam diameter of 10 cm is aimed at the Moon, `3.8xx10^(5)km` distant. The beam spreads only because of diffraction. The angular location of the edge of the central diffraction disk is given by
`sintheta=(1.22lambda)/(d)`,
where d is the diameter of the beam aperture. What is the diameter of the central diffraction disk on the Moon's surface?

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Convert the given values to SI units - Wavelength, \( \lambda = 600 \, \text{nm} = 600 \times 10^{-9} \, \text{m} \) - Diameter of the beam, \( d = 10 \, \text{cm} = 0.1 \, \text{m} \) - Distance to the Moon, \( D = 3.8 \times 10^5 \, \text{km} = 3.8 \times 10^8 \, \text{m} \) ### Step 2: Calculate \( \sin \theta \) using the given formula ...
Promotional Banner

Topper's Solved these Questions

  • ALL ABOUT ATOMS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (SINGLE CORRECT CHOICE TYPE)|57 Videos
  • ALL ABOUT ATOMS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (MORE THAN ONE CORRECT CHOICE TYPE)|4 Videos
  • ALL ABOUT ATOMS

    RESNICK AND HALLIDAY|Exercise CHECKPOINT|1 Videos
  • CAPACITANCE

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTION (INTEGER TYPE)|3 Videos

Similar Questions

Explore conceptually related problems

A laser beam having lamda=7000 Å and aperture d=10^(-2)m is sent to the moon. What is the angular spread of the beam?

A laser beam has a wavelength of 7 xx 10^(-7) m and aperure 10^(-2)m . The beam is sent to moon at a distance of 4 xx 10^(5) km from earth. Find the angular spread and areal spread of the beam on reaching the moon.

A diffraction-limited laser of length l and aperture diameter d generates light of wavelength lambda . If the beam is directed at the surface of the Moon a distance D away, the radius of the illuminated area on the Moon is approximately

The beam emerging from a 1.5 W argon laser (lambda=515 nm) has a diameter d of 3.5 mm. The beam is focused by a lens system with an effective focal length f_(L) of 2.5 mm. The focused beam strikes a totally absorbing screen, where it forms a circular diffraction pattern whose central disk has a radius R given by 1.22f_(L)lambda//d . It can be shown that 84% of the incident energy ends up within this central disk. At what rate are photons absorbed by the screen in the central disk of the diffraction pattern?

Light of wavelength 5 xx 10^(-7)m is diffracted by an aperture of width 2 xx 10^(-3)m . For what distance travelled by the diffrated beam does the spreading due to diffraction become greater than width of the aperture ?

A beam of light of lambda=600nm from a distance source falls on a single slit 1mm wide and the resulting diffraction pattern is observed on a screen 2m away. The distance between first dark fringes on either side of the central bright fringe is

A beam of light of wavelength 600 nm from a distant source falls on a single slit 1.0 mm wide and the resulting diffraction pattern is observed on a screen 2 m away What is the distance between the second bright fringe on either side of the central bright fringe ?

A beam of light of wavelength 600 nm from a distant source falls on a single slit 1.0 mm wide and the resulting diffraction pattern is observed on a screen 2m away. What is the distance between the first dark fringe on either side of the central bright fringe?

The average distance between the earth and moon is 3.86xx10^(4)km . The minimum separation between the two points on the surface of the moon that can be resolved by a telescope whose objective lens has a diameter os 5 m with lambda=6000 Å is

RESNICK AND HALLIDAY-ALL ABOUT ATOMS -PROBLEMS
  1. An atom of uranium has closed 6p and 7s subshell. Which subshell has g...

    Text Solution

    |

  2. A tungsten (Z=74) target is bombarded by electrons in an x-ray tube. T...

    Text Solution

    |

  3. A high-powered laser beam (lambda=600nm) with a beam diameter of 10 cm...

    Text Solution

    |

  4. What are the initial and final shells for an M(beta) line in an x-ray ...

    Text Solution

    |

  5. Consider the elements selenium (Z=34), bromine (Z=35), and krypton (Z=...

    Text Solution

    |

  6. Which element has K(alpha) x-ray line whose wavelength is 0.180 nm?

    Text Solution

    |

  7. An X-ray tube operates at 20 kV. A particular electron loses 5% of its...

    Text Solution

    |

  8. The x rays shown are produced when 35.0 ke V electrons strike a molybd...

    Text Solution

    |

  9. (a) From Eq. what is the ratio of the photon energies due to K(alpha) ...

    Text Solution

    |

  10. Show that a moving electron cannot spontaneously change into an x-ray ...

    Text Solution

    |

  11. A population inversion for two energy levels is often described by ass...

    Text Solution

    |

  12. Two of the three electrons in a lithium atom have quantum numbers (n, ...

    Text Solution

    |

  13. A pulsed laser emits light at a wavelength of 694.4 nm. The pulse dura...

    Text Solution

    |

  14. From Fig, calculate approximately the energy different E(L)-E(M) for m...

    Text Solution

    |

  15. For a helium atom in its ground state, what are quantum numbers (n,l,m...

    Text Solution

    |

  16. A hypothetical atom has two energy levels, with a transition wavelengt...

    Text Solution

    |

  17. A laser emits at 424 nm in a single pulse that lasts 0.500mus. The pow...

    Text Solution

    |

  18. X rays are produced in an x-ray tube by electrons accelerated through ...

    Text Solution

    |

  19. Assume that lasers are available whose wavelengths can be precisely ''...

    Text Solution

    |

  20. A certain gas laser can emit light at wavelength 550 nm, which involve...

    Text Solution

    |