The focal length of concave mirror is f and object is placed at a distance x from focus what is value of linear magnification.
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Explanation:
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Answered by
1
Explanation:
♡ We know mirror formula,
$$\dfrac { 1 }{ f } =\dfrac { 1 }{ v } +\dfrac { 1 }{ u } $$
Given focal length = f and object distance u=f+x
Thus putting the above values in the mirror formula we get
$$\dfrac { 1 }{ -f } -\dfrac { 1 }{ -u } =\dfrac { 1 }{ v } $$
$$\dfrac { 1 }{ v } =\dfrac { 1 }{ -f } -\dfrac { 1 }{ -(f+x) } $$
=
−f(f+x)
(f+x)−f
=
f(f+x)
−x
v=
x
−f(f+x)
Now we magnification m=
u
−v
m=
−(f+x)
−(
x
−f(f+x)
)
=
x
−f
♡
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