object distance is 60cm and focal length is 20cm what is the image distance when the concave mirror
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Answer:
What is the image distance when an object is kept 60cm from the pole of a concave mirror having 20cm focal length?
What is the image distance when an object is kept 60cm from the pole of a concave mirror having 20cm focal length?
Method -1
u=−60cm,f=−20cm,v=?,
Mirror formula1f=1v+1u
1−20=1v+1−60
160−120=1v
v=−30cm
Method -2
Slope of the ray AF is m1=ho20
Equation of the ray AF is y=ho20x+ho−−−−(1)
Slope of the ray OB is m2=ho60
Equation of the ray OB is y=ho60x−−−−−(2)
At the point of intersection of both of the rays, the coordinates will be same
substituting relation of (1) in (2) , we have
ho60x=ho20x+ho
160x−120x=1
x=−30
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