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Mirror Formula Formal Proof

The focal len...

Question

The focal length of convex lens is 30 cm and the size of image is quarter of the object, then the object distance is:-

150 cm

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60 cm

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30 cm

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40 cm

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Solution

The correct option is B 150 cm
As we know,
$m = \frac{f}{f + u} \Rightarrow - \frac{1}{4} = \frac{30}{30 + u} \Rightarrow u = - 150 c m$

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Complete the following sentences :

(a) An object is placed at a distance of more than 40 cm from a convex lens of focal length 20 cm. The image formed is real, inverted and ..........

(b) An object is placed at a distance 2f from a convex of lens of focal length f. The size of image formed is ............ that of the object.

(c) An object is placed at a distance 5 cm from a convex of focal length 10 cm. The image formed is virtual, upright and ............

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