When a object is move towards a concave mirror with speed 'a' m/s. Then what is the speed of image when the object is at a distance 'x' m. from the mirror? (given that 'f' is the focal length of the mirror.)
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Adding (1) and (3),
(x + y)(a + b) = (a + b)/(a - b)
x + y = 1/(a - b)
x = [1/(a - b)] - y ----- (4)
From (4) and (1),
ax + by = 1
[a/(a - b)] - ay + by = 1
y(b - a) = 1 - [a/(a - b)]
y(b - a) = -b/(a - b)
y = b/[(b - a)^2] = [b/(a - b)^2] ----- (5)
From (5) and (4),
x = [1/(a - b)] - y
x = [1/(a - b)] - [b/(a - b)^2]
x = [1/(a - b)] - [b/(a - b)^2]
x = (a - 2b)/(a - b)^2Explanation:
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