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In the Figure FE is a man of height H st...

In the Figure FE is a man of height H standing on a floor. E is eye of the man and F is his foot. The distance between eye and the head is negligible. A steel ball of radius r is suspended in front of him. The distance of the ball from the man is H and height of the centre of the ball from the floor is `(H)/(2)`. It is given that `r lt lt H`. The surface of the ball acts like a mirror and the man sees his image in it. Calculate the angle subtended by the image at the eye of the man.

Text Solution

Verified by Experts

The correct Answer is:
`theta = (@r)/(5H)`
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Knowledge Check

  • A ball is dropped from a height h onto a floor and rebounds to a height h//6 . The coefficient of restitution between the ball and the floor is

    A
    `(1)/(2)`
    B
    `(1)/(4)`
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    `(1)/sqrt(6)`

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    C
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    `(3)/(4)`

  • A ball is thrown vertically upwards with a velocity equal to half the escape velocity from the surface of the earth. The ball rises to a height h above the surface of the earth. If the radius of the earth is R, then the ratio h/R is

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