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Q.

An inverted image is formed at a distance of 40 cm in front of a concave mirror when an object with a height of 12 cm is placed in front of the mirror. Which of the following statements is correct if v represents the image distance and h represents the object's height?

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a

v= +40 cm, h= +12 cm

b

  v= -40 cm, h= +12 cm

c

  v= -40 cm, h= -12 cm

d

  v= +40 cm, h= -12 cm

answer is B.

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Detailed Solution

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  • According to the new cartesian sign convention, when the distance is measured on the left side or in front of the mirror, it is taken as negative. 
  • The height measured above the principal axis is considered positive.
Sign Convention for Mirrors | Definition, Examples, Diagrams

Therefore, the image distance will be -40 cm and the height of the object will be +12 cm.


 

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