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Acids, Bases And Salts

Question
CBSEENSC10014535

One-half of a convex lens is covered with a black paper. Will such a lens produce an image of the complete object? Support your answer with a ray diagram.

(b) An object 5 cm high is held 25 cm away from a converging lens of focal length 10 cm.

(i) Draw the ray diagram and

(ii) Calculate the position and size of the image formed.

(iii) What is the nature of the image?

Solution

(a) Image is formed by a large number of rays from the object. If one part of the lens is blackened, image will be formed. But, intensity of the image will be reduced.

 

(b) i)  

 

 

Object distance, u = -25 cm

Focal length, f = 10 cm

Height of the image, h = 5 cm

ii) Now, using the lens formula,
1 over straight f equals 1 over straight v minus 1 over straight u
we space have comma
1 over straight v space equals 1 over straight f plus 1 over straight u

straight v equals space fraction numerator straight u space straight x space straight f over denominator straight u plus straight f end fraction

straight v equals fraction numerator negative 25 space straight x space 10 over denominator 10 minus 25 end fraction space equals 16.67 space cm

Now comma space magnification
straight m equals negative straight v over straight u space equals negative straight h subscript straight i over straight h subscript 0
equals space straight h subscript straight i space equals fraction numerator straight v space straight x space straight h subscript 0 over denominator straight u end fraction space equals fraction numerator 6.67 space straight x space 5 over denominator left parenthesis negative 25 right parenthesis end fraction equals negative 3.34 space cm

(iii) Negative sign indicates that the image is real & inverted.