The velocity of image when object and mirror both are moving towards each other with velocities 4 ms⁻¹ and 5 ms⁻¹ respectively, is

Options

(a) (-14ms⁻¹)
(b) 15ms⁻¹
(c) (-9ms⁻¹)
(d) 14ms⁻¹

Correct Answer:

(-14ms⁻¹)

Explanation:

ʋ(OM) = Velocity of object with respect to mirror = -ʋ(IM)

(Here, -ʋ(IM) = velocity of image with respect to mirror)

ʋ(o) – ʋ(M) = -[ʋ(I) – ʋ(M)]

4 ms⁻¹ – (-5 ms)⁻¹ = -ʋ(I) + (-5 ms⁻¹)

ʋ(I) = – 14 ms⁻¹