an object is placed 50 cm from a mirror that produces a virtual image at a distance of 10 cm behind the mirror. calculate the focal length of the mirror. which mirror is this?
Answers
Answer:
It forms a virtual image,
So it is a convex mirror,
v= -50 cm and u = -10 cm
So by using mirror formula,
→1/f = 1/v + 1/u
→ 1/f = -1/50 + - 1/10
→ 1/f = -1/50 - 1/10
→ 1/f = 4/50
→ f = 50/4
→ f = +12.5 cm
>Focal length = 12.5 cm
And it is convex mirror.
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Explanation:
Answer:
The focal length of the mirror is 12.5 cm.
Explanation:
The space between the convex lens or a concave mirror and the focal point of a lens or mirror exists named the focal length.
The focal length ( f ) exists as the distance from a lens or mirror to the focal point ( F ).
Given:
Distance of image, v = -50 cm
Distance of object, u = -10 cm
To find:
the focal length of the mirror.
By using lens formula,
1/f = 1/v + 1/u
1/f = -1/50 + - 1/10
1/f = -1/50 - 1/10
1/f = 4/50
f = 50/4
f = +12.5 cm
Focal length = 12.5 cm
It forms a virtual image, hence it exists as a convex mirror.
Therefore, the focal length of the mirror exists at 12.5 cm.
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