A convex mirror of focal length f produces an image

Asked by admin @ 03/08/2021 in Physics viewed by 287 People

A convex mirror of focal length f produces an image of size equal to

1
/n times the size of the object.Then the object distance is(a) nf (b) f/
n(c) (n + 1)f (d) (n – 1)f

Answered by admin @ 03/08/2021

Focal length = f
magnification = 1/n

now let object was placed at a distance u = x
now we know that m = |v/u|
=> v = x/n

Applying mirror formula
1/u+1/v = 1/f
plugging the values of u,v and f
we get

-1/x + n/x = 1/f
n-1/x = 1/f
x = f(n-1)
thus the object was placed at f(n-1) distance
thus option (d) is correct

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