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A Concave Lens of 20 Cm Focal Length Forms an Image 15 Cm from the Lens. Compute the Object Distance. - Science

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Question

A concave lens of 20 cm focal length forms an image 15 cm from the lens. Compute the object distance. 

Solution

Focal length of concave lens f = - 20 cm (focal length is negative for a concave lens)
Image distance v = - 15 cm ( negative sign is given because the image formed by a concave lens is on the left side of the lens)
Using the lens formula: 

`1/f=1/v-1/u` 

`1/-20=1/-15-1/u` 

`1/u=1/20+1/((-15)` 

`1/u=(3-4)/60=-1/60`  

∴  u=-60 cm. 

The negative sign shows that the object is on the left side of the concave lens.
Therefore, the object is at a distance of 60 cm and on the left side of the concave lens.

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Chapter 5: Refraction of Light - Exercise 6 [Page 256]

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Lakhmir Singh Physics (Science) [English] Class 10
Chapter 5 Refraction of Light
Exercise 6 | Q 6 | Page 256
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