4.5 cm. needle is placed 25 cm away from a convex mirror of
focal length 15 cm. find the location of image and magnification. Also
draw a neat ray diagram of it.
Answers
Answer:
Explanation:
What is Mirror Formula 4.5 cm needle is placed 12 cm away from a convex mirror of focal length 15 cm give the location of image and magnification describe what happens to the image as the needle is moved farther from the mirror?
What is the height of the image of the needle?
Are 2.5 Centimetre candle is placed 12 cm away from a convex mirror of focal length 30 cm give the location of the image and the magnification?
What is the distance of an object from a concave mirror?
Answer :-
→ Location of the image is 9.375 cm .
→ Magnification is + 0.0375
→ For ray diagram refer to the above attachment.
Explanation :-
We have :-
→ Height of the object (hₒ) = 4.5 cm
→ Distance (u) = 25 cm
→ Focal length (f) = 15 cm
_________________________
From sign convention, we have :-
• u = -25 cm
• f = +15 cm
Now, according to mirror formula :-
1/v + 1/u = 1/f
⇒ 1/v = 1/f - 1/u
⇒ 1/v = 1/15 - (-1)/25
⇒ 1/v = (5 + 3)/75
⇒ 1/v = 8/75
⇒ 8v = 75
⇒ v = 75/8
⇒ v = 9.375 cm
________________________
Now, from the formula of magnification of a spherical mirror :-
m = -(v/u)
⇒ m = -(9.375/-25)
⇒ m = -(-0.375)
⇒ m = + 0.375
