Home
Class 12
PHYSICS
A ray of light is incident on the (y-z)...

A ray of light is incident on the (y-z) plane mirror along a unit vector `hate_(1) = (1)/(sqrt(3)) hati +(1)/(sqrt(3)) hatj +(1)/(sqrt(3))hatk`. Find the unit vector along the reflected ray.

A

`hate_(2) = (1)/(sqrt(3)) hati +(1)/(sqrt(3)) hatj +(1)/(sqrt(3))hatk`

B

`hate_(2) = (1)/(sqrt(3)) hati +(1)/(sqrt(3)) hatj -(1)/(sqrt(3))hatk`

C

`hate_(2) = -(1)/(sqrt(3)) hati +(1)/(sqrt(3)) hatj +(1)/(sqrt(3))hatk`

D

`hate_(2) = (1)/(sqrt(3)) hati -(1)/(sqrt(3)) hatj -(1)/(sqrt(3))hatk`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practive Exercise 5.1|10 Videos
  • GEOMETRICAL OPTICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practive Exercise 5.2|6 Videos
  • ELECTROSTATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numberical Problems|73 Videos
  • HEAT AND THERMAL EXPANSION

    PHYSICS GALAXY - ASHISH ARORA|Exercise UNSOLVED NUMRICAL PROBLEMS FOR PREPARATION OF NSEP, INPhO & IPhO|82 Videos

Similar Questions

Explore conceptually related problems

Two plane mirrors are combined to each other as such one is in (y-z) plane and other is in (x-z)plane.A ray of light along vector (1)/(sqrt(3)) hati +(1)/(sqrt(3))hatj +(1)/(sqrt(3))hatk is incident on the first mirror. Find the unit vector in the direction of emergence ray after successive reflections through these mirros.

The unit vector along 4hati-hatj+6hatk .

Equation of line BA is x+y=1 . Find a unit vector along the reflected ray AC.

A ray of light is incident on a plane mirror along a vector hat i+hat j- hat k. The normal on incidence point is along hat i+ hat j .Find a unit vector along the reflected ray.

The unit vector normal to the plane x + 2y +3z-6 =0 is (1)/(sqrt(14)) hati + (2)/(sqrt(14))hatj + (3)/(sqrt(14))hatk.

Show that (hati-hatj)/sqrt2 is a unit vector.

Compute the magnitude of the following vectors. Also mention whch of these are unit vector: hati/sqrt(3)+hatj/sqrt(3)-hatk/sqrt(3)

The XY plane is the boundary between two tranparednt media. Medium 1 with z ge 0 has a refraxtive index of sqrt2 and medium 2 with z le 0 has a refractive index of sqrt3 . A ray of light in medium 1 given by the vector 6sqrt(3)hat(i)+8sqrt(3)hat(j)-10hatk is incident on teh plane of separation. Find the unit vector in the direction of teh refracted ray in medium 2.

PHYSICS GALAXY - ASHISH ARORA-GEOMETRICAL OPTICS-Unsolved Numerical Problems
  1. A ray of light is incident on the (y-z) plane mirror along a unit vec...

    Text Solution

    |

  2. The left end of a long glass rod of index 1.6350 is grounded and polis...

    Text Solution

    |

  3. Focal length of a convex lense in air is 10cm. Find its focal length...

    Text Solution

    |

  4. Find the distance of an object from a convex lens if image is two ti...

    Text Solution

    |

  5. A pile 4m high driven into the bottom of a lake is 1m above the wat...

    Text Solution

    |

  6. An object is placed 12 cm to the left of a diverging lens of focal len...

    Text Solution

    |

  7. A solid glass sphere with radius R and an index of refraction 1.5 is s...

    Text Solution

    |

  8. A glass sphere with 10 cm radius has a 5 cm radius spherical hole at i...

    Text Solution

    |

  9. A source of light is located at double focal length from a convergent ...

    Text Solution

    |

  10. A parallel beam of rays is incident on a consisting pf three thin lens...

    Text Solution

    |

  11. A ray of light is incident on the left vertical face of glass cube of ...

    Text Solution

    |

  12. One face of a prism with a refrective angle of 30^@ is coated with sil...

    Text Solution

    |

  13. In an isosceles prism of prism angle 45^(@), it is found that when the...

    Text Solution

    |

  14. An astronomical telescope with objective of focal length 100 cm and ey...

    Text Solution

    |

  15. Figure shows a right angled prism ABC having refractive mu(g)=(3)/(2) ...

    Text Solution

    |

  16. An equilateral prism deviates a ray through 40° for two angles of inci...

    Text Solution

    |

  17. A ray of light strikes a glass slab of thickness t. (i) Prove that i...

    Text Solution

    |

  18. A plano-convex lens has thickness 4cm. When places on a horizontal tab...

    Text Solution

    |

  19. An image Y is formed of a point object x by a lens whose optic axis is...

    Text Solution

    |

  20. A thin plano-convex lens.of focal length f is split into two halves : ...

    Text Solution

    |

  21. The focal lengths of the objective and the eye piece of a compound mic...

    Text Solution

    |