Home
Class 11
PHYSICS
Equation of line BA is x+y=1. Find a uni...

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

A

`((hat(i)+hat(j)))/sqrt(2)`

B

`((hat(i)-hat(j)))/sqrt(2)`

C

`sqrt(2)(hat(i)+hat(j))`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Here `alpha=45^(@)` so inclination of AC with x-axis is `45^(@)`. So unit velocity along AC
`=cos 45^(@) hat(i) + sin 45^(@)hat(j)=(hat(i)+hat(j))/sqrt(2)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-03|1 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-04|1 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exersice -05(B)|20 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

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.

A ray of light in incident along a vector hati + hatj - hatk on a plane mirror lying in y-z plane. The unit vector along the reflected ray can be

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.

The cartesian equation of a line is 3x + 1 = 6 y - 2 = 1 -z . Find the vector equation of the line.

A ray of light is sent along the line 2x-3y=5. After refracting across the line x+y=1 it enters the opposite side after torning by 15^(@) away from the line x+y=1 . Find the equation of the line along which the refracted ray travels.

The cartesian equation of a line is 3x - 1 = 6y + 2 = 1 - z . Find the vector equation of the line .

If hat(i) denotes a unit vector along incident light ray, hat (r) a unit vector along refracted ray into a medium of refraction index mu and hat (n) unit vector normal to boundary of medium directed towards incident medium, then law of refraction is

ALLEN-MISCELLANEOUS-Exercise-02
  1. The magnitude of scalar product of two vectors is 8 and of vector prod...

    Text Solution

    |

  2. Force acting on a particale is (2hat(i)+3hat(j))N. Work done by this f...

    Text Solution

    |

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

    Text Solution

    |

  4. The vector (vec(a)+3vec(b)) is perpendicular to (7 vec(a)-5vec(b)) and...

    Text Solution

    |

  5. Forces proportional to AB , BC and 2 CA act along the slides of a tria...

    Text Solution

    |

  6. A charges cork of mass m suspended by a light stright is placed in uni...

    Text Solution

    |

  7. A charged particle having some mass is resting in equilibrium at a hei...

    Text Solution

    |

  8. The charge per unit length of the four quadrant of the ring is 2 lambd...

    Text Solution

    |

  9. The figure shows a nonconducting ring which has positive and negative ...

    Text Solution

    |

  10. A circular ring carries a uniformly distributed positive charge .The e...

    Text Solution

    |

  11. Find the force experienced by a semicircular rod having a charge q as ...

    Text Solution

    |

  12. Which of the following is true for the figure showing electric lines o...

    Text Solution

    |

  13. An electric charge 10^(-8) C is placed at the point (4m, 7m, 2m). At t...

    Text Solution

    |

  14. Two point charges Q and - Q //4 are separated by a distance X. Then ...

    Text Solution

    |

  15. Two positively charged particles X and Y are initially far away from ...

    Text Solution

    |

  16. Tow particles X and Y, of equal mass and with unequal positive charge...

    Text Solution

    |

  17. In a uniform electric field, the potential is 10V at the origin of co...

    Text Solution

    |

  18. The potential as a function of x is plotted in figure. Which of the fo...

    Text Solution

    |

  19. Four charges of 1mu C, 2mu C, 3mu C and -6 mu C are placed one at each...

    Text Solution

    |

  20. Potential at a point A is 3 volt and at a point B is 7 V, an electro...

    Text Solution

    |