25 cm
concave
mirror
14 cm
what
10 The object 4cm in size as placed at
in front of
of focal
denght
distance from the
mirror
screen
be placed in order
obtain a sharp image & find the
size of the image.
should
nature
to
and
Answers
Answer:
50cm distance
on image
thanks for a nice questions
Explanation:
Hello Dear.
Here is the answer---
Height of the Object(H₀) = 4 cm.
Object Distance(u) = 25 cm.(negative)
Focal Length = 15 cm.(negative)
Using the Mirror's Formula,
\frac{1}{f} = \frac{1}{v} + \frac{1}{u}
f
1
=
v
1
+
u
1
⇒ \frac{1}{-15} = \frac{1}{-25} + \frac{1}{v}
−15
1
=
−25
1
+
v
1
⇒ v = - 37.5 cm.
Thus, the image is formed behind the mirror. Since the Distance is Negative, thus the Image is Real.
Thus, Screen is to be placed at a Distance of 37.5 cm behind the Mirror.
Now, Magnification = H₁/H₀
Also, Magnification = -v/u
∴ H₁/H₀ = -v/u
⇒ H₁/4 = - (-37.5)/25
⇒ H₁ = 37.5 × 4/25
⇒ H₁ = 150/25
⇒ H₁ = 6 cm.
Since, the Size of the Image is greater than the size of the Object, thus the image is Magnified.
Hence, Characteristics of the Images are---
Real, Inverted and Magnified.
Hope it helps.
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