a diverging mirror of radius of carvature 40 cm forms an image which is half of the height of object . find the object and image position.
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Given that R = 40cm
Let u= Object positionV = Image position
h1= Object height
h2= Image height =Also we know that-v / u = h2/ h1= 1 / 22V =u
Use mirror formula
1/v + 1/u= 1/f = 2 /R= -1/u = 1/20⇒ u= 20cmHence V = u / 2 = -20 / 2 = -10
Let u= Object positionV = Image position
h1= Object height
h2= Image height =Also we know that-v / u = h2/ h1= 1 / 22V =u
Use mirror formula
1/v + 1/u= 1/f = 2 /R= -1/u = 1/20⇒ u= 20cmHence V = u / 2 = -20 / 2 = -10
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