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A concave mirror has a radius …



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A concave mirror has a radius of curvature of 40 cm to find the position nature and size of the image of the image an object 20 cm High placed in 8 cm in front of mirror
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Sri Reddy 1 month ago

Given, R=-40cm Height of object (ho)=20cm u=-8cm Height of image(hi )=? v=? WKT f=R÷2 f=-40÷2 f = -20cm 1/f = 1/v + 1/u 1/-20 = 1/v + 1/-8 -1/20 -(-1/8)=1/v -1/20 + 1/8 = 1/v (-8+20)/(8×20)= 1/v 12/(8×20)=1/v 3/40=1/v v=40/3cm (Or) v=13.33cm m=hi/ho = -v/u hi/20=-(40/3)/-8 hi/20=5/3 hi=(5×20)/3 hi=100/3 hi = 33.33cm Therefore, the image is virtual and erect and it is 13.33cm away from the mirror and its size is 33.33cm

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