A tall object is placed in front of a convex mirror of focal length

PHYSICS · Multi-part · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

A 5 cm5\,\text{cm} tall object is placed 30 cm30\,\text{cm} in front of a convex mirror of focal length 10 cm10\,\text{cm}. A student knows the mirror formula but is unsure about the correct sign of focal length for the convex mirror. (i) Using the correct sign for focal length, calculate the image distance vv and the height of the image hih_i. (ii) The same student repeats the calculation using f=−10 cmf = -10\,\text{cm} instead of the correct sign. Determine the values of v′v' and hi′h_i' obtained in this incorrect attempt. (iii) Briefly comment on how the wrong choice of sign changes the physical interpretation of the result, focusing on the position and nature of the image.

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