A concavee lense of power -2. OD is used to form an
image of an object of size 9cm kept at a
distance of 25 cm from it. Find the nature, size
and position of the
image
formed
Answers
it is just an example:-
Answer:
What is the power of concave lens of focal length 25cm?
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Parveen Kumar
4 weeks ago
Since,
it is concave lens so the focal length of a concave lens is considered negative
Then,
Focal length (f) = - 25 cm
= - 25 /100 m
= - 0.25 m
Now,
P= 1/f (in metre)
P = -100/25 m
P = -4 D
Now, the power of concave lens is -4 Dippers.
Given :
Power of concave lens = -2 D
Size of object = 9 cm
Distance of object = 25 cm
To Find :
Nature, size and position of the image.
Solution :
First of all we have to find focal length of lens.
➙ f = 1 / P
➙ f = 1 / (-2)
➙ f = -0.5 m
➙ f = -50 cm
❖ Distance of image can be calculated by using lens formula
➙ 1/v - 1/u = 1/f
➙ 1/v - 1/(-25) = 1/(-50)
➙ 1/v + 1/25 = -1/50
➙ 1/v = -1/50 - 1/25
➙ 1/v = (-1 - 2) / 50
➙ v = -50/3
➙ v = -16.67 cm
❖ Size of the image :
➠ m = v/u = h'/h
- h' denotes size of image
- h denotes size of object
➠ (-16.67)/(-25) = h'/9
➠ h' = 9 × 0.67
➠ h' = 6.03 cm
❖ Nature of the image :
- Virtual
- Erect
- Small