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A ray of light is incident on a plane mi...

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

`(1)/(sqrt(3))(hati+ hatj +hatk)`

B

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

C

`(1)/(sqrt(2))(hati+ hatj )`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B

`=(-hati-hatj -hatk)/(sqrt((-1)^(2) + (-1)^(2) + (-1)^(2)))`
`=(-1)/(sqrt(3))(hati + hatk +hatk)`
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GRB PUBLICATION-VECTORS-OBJECTIVE QUESTIONS
  1. If vecA xx vecB = vecC+ vecD, them select the correct alternative:

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  2. If veca and vecb are two non-collinear unit vectors and if |veca(1...

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  3. A ray of light is incident on a plane mirror along a vector hat i+hat ...

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  4. A particle is moving along a circle with a uniform speed v. Find (a) c...

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  5. A plane mirror is moving with vclocity . A point object in fo...

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  6. The angle between the vectors (hati+hatj) and (hatj+hatk) is

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  7. A parallelogram is fromed withveca and vecb as the sides let vecd...

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  8. If two non-parallel vectors vecA and vecB are equal in magntiude,...

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  9. If the vectors (hati+ hatj + hatk) and 3 hati from two sides of a ...

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  10. The value of p so that vectors (2hati - hatj +),( hati +2hatj-3hatk) ...

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  11. The vector sum of three vectors vecA, vecB and vecC is zero . If ha...

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  12. Three force F(1) = (3hati + 2hatj - hatk) vecF(2) and that the parti...

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  13. For the fig. 350 :

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  14. A vector may change if :

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  15. When two vectors vecA and vecB of magnitudes a and b respectively are ...

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  16. The rectangular compounts of forces of 5 duye are :

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  17. To get a rsultant displacement of 10m, two displacement vectors, o...

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  18. A magnitude of vector vecA,vecB and vecC are respectively 12, 5 and 13...

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  19. If vecA = vecB + vecC and the magnitudes of vecA, vecB and vecC are ...

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  20. If two waves of same frequency and same amplitude superimpose and prod...

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