A spherical concave mirror of radius of curvature 40 cm is moving with a constant velocity 2cm/s along positive x-axis as shown. A point object 'P' located at a distance 30 cm left to the po

Question

A spherical concave mirror of radius of curvature 40 cm is moving with a constant velocity 2cm/s along positive x-axis as shown. A point object 'P' located at a distance 30 cm left to the pole of the concave mirror is also moving with a velocity of 4 cm/s along positive x-axis at a height of 0.2 cm above the principal axis as shown in figure. Then choose the correct option(s):

TestHub · Accepted Answer

u = − 30 cm, f = − 20 cm ⇒ v = − 60 cm. Relative to the mirror, the object moves at 4 − 2 = 2 cm/s. Axial: d t d v ​ = − u 2 v 2 ​ d t d u ​ = − 4 × 2 = − 8 cm/s relative to the mirror; relative to ground: − 8 + 2 = − 6 cm/s, i.e. 6 cm/s along negative x - (B) Transverse: h i ​ = f − u f ​ h 0 ​ ; d t d h i ​ ​ = ( f − u ) 2 f h 0 ​ ​ d t d u ​ = 100 − 20 × 0.2 ​ × 2 = − 25 2 ​ cm/s - (D)

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Options:(select one or more)

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