An oobject 4cm in size is plased at 25cm in front of a cancave mirror of focal length15cm.At what
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Given,
size of object , H₀ = 4cm
object distance , u = -25cm
focal length of concave mirror , f = -15cm
Use formula ,
1/v + 1/u = 1/f
⇒1/v + 1/-25 = 1/-15
⇒1/v = 1/-15 + 1/25 = (-25 + 15)/375 = 1/-37.5 cm
⇒ v = - 37.5 cm ,
∴ image is formed object side , 37.5cm from pole of concave mirror.
Now, use formula,
Hi/H₀ = -u/v
Where Hi is the size of image .
Now, Hi/4cm = -(-37.5cm)/(-25cm)
Hi = -4 × 37.5/25 cm = -6cm
∴ size of image = 6cm
Hence,sreen should place 37.5 cm left side of mirror and size of image is 6cm .it is inverted and larger than object's size.
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