An object of size (height) 7cm is placed at 25cm in front of a concave mirror of focal length 15cm at what distance from the the mirror should a screen be placed so that we can get a sharp and clear image ? find the nature and height of image
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Answer:
The screen should be placed at a distance of 37.5 cm in front of theconcave mirror.
Explanation:
Size of object ho=7cm
Size of the object ho=?
Focal length f=−15cm
Object distance u=−25cm
Image distance v=?
Using mirror formula, f1=v1+u1
−151=v1+−251
v1=75−5+3
v=−37.5cm
Hence, position of image at 37.5cm infront of the mirror.
Magnification(M)=hohi=u−v=−2537.5=−1.5
hi=−1.5×hO
hi=−1.5×7=−10.5cm
Hence,size of image is −10.5cm.
Nature of image is real,inverted and magnified.
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