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What is meant by power of a lens? Define its S.I.unit. You have two lenes A and B of focal lengths + 10 cm and - 10 respectively. State the nature and power of each lens. Which of the two lenses will form a virtual and magnigied image of an object placed 8 cm from the lens? Draw a ray diagram tojustify your answer. |
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Answer» Solution :POWER of a LENS and its S.I. unit . The power of a lens is a measure of the degree of CON- reciprocal of its focal length rays FALLING on it. The power of a lens is defined as the reciprocal of its focal length in metres. Power of a Lens = `(1)/(" Focal length (in m)")` Lens A: `F_(A) = + 10 cm = (+10)/(100) = 0.1m, P_(P) = (1)/(F_(A)) = (1)/(+0.1) = + 10 D` The power of a convex lens is positive therefore, lens A is a conbex lens. Lens B: `F_(B) = -10 cm = (-10)/(100) = - 0.1m,P_(B) = (1)/(F_(A)) = (1)/(-0.1) =- 10 D` The power of a concave lens is negative therefore, lens . What an object is placed at 8 cm (i.e., between the optical centre and principal foucs) only convex lens will form the virtual and magnified image. Therefore, lensA will form a virtual and magnified image of the object placed 8 cm from it. When the object is placed wetween the optical centre and the focus: (i.e., between O and F') the image formed is behined the object (on the same side), virtual, ERECT and magnified.
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