TO DETERMINE FOCAL LENGTH OF CONCAVE MIRROR

MATERIAL REQUIRED

Concave Mirror, Optical Bench

THEORY

A concave mirror is a spherical mirror with a reflective surface that curves inward, resembling the interior of a bowl or a cave. It is also known as a converging mirror because it causes parallel light rays to converge at a single point called the focus after reflecting off the surface.

If u, v and f represents object distance, image distance and focal length of a concave mirror respectively, the relation between them is given by;

1/f =1/v+1/u

PROCEDURE

  • Mount concave mirror at the one end (0 cm scale) of optical bench with lens holder.
  • Mount one needle as object at middle of optical bench.
  • Mount another needle at the another end of optical bench with needle holder taken as image.
  • Look at he object needle on the the mirror from image needle in front of the lens.
  • The object needle must be seen as inverted.
  • Try to make height of image an object image is equal.
  • Try to conside tip of object and image needle by moving either image needle or object needle.
  • Then remove parallax error by moving head and image needle together.
  • If parallax error was removed then tip of object and image needle fixed with moving head i.e: they are not separated.

OBSERVATION

S.N.Position of Mirror(M)Position of Object(O)Position of Image(I)Object distance (u)=O-MImage distance (v)=I-Mm=v/u1/u1/v1/f=1/v+1/ufMean f =Σf/n
10 cm14.7 cm49.5 cm-14.7 cm-49.5 cm3.367-0.068027-0.020202-0.088229-11.33 cm11.33 cm
2
3
Observation Table

RESULT

The focal length of given concave mirror is 11.33 cm.

CONCLUSION

Hence focal length of concave mirror was calculated by optical bench method

PRECAUTION

  • Parallax error must be minimized.
  • Distance must be measured accurately.

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