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CBSE Class 10 Answered

findthe size nature and position of image formed when an object of size 1 cm is placed at a distance of 15from a fro from a concave mirror of focal length 10cm cm from a concave mirror of focal length in centimetre from a concave mirror of
Asked by raghvendrasingh11077 | 21 Oct, 2020, 03:13: PM
Expert Answer
f = -10 cm (focal length of concave mirror) 
u = - 15 cm 
height of object, ho = 1 cm 
v = ? 
height of image, hi = ? 
B y space m i r r o r space f o r m u l a comma space
1 over f equals space 1 over v plus 1 over u
fraction numerator 1 over denominator negative 10 end fraction equals 1 over v plus fraction numerator 1 over denominator negative 15 end fraction
1 over v equals space fraction numerator 1 over denominator negative 10 end fraction space minus space open parentheses fraction numerator 1 over denominator negative 15 end fraction close parentheses space equals space fraction numerator 1 over denominator negative 10 end fraction plus space open parentheses 1 over 15 close parentheses
1 over v space equals space fraction numerator 5 over denominator negative 150 end fraction
v space equals space minus 30 space c m space
T h u s comma space t h e space i m a g e space i s space f o r m e d space
L i n e a r space m a g n i f i c a t i o n space b y space s p h e r i c a l space m i r r o r s space i s space g i v e n space a s comma space
m space equals negative space v over u space equals space fraction numerator 30 over denominator negative 15 end fraction equals negative 2 space
T h i s space n e g a t i v e space s i g n space i n d i c a t e s space t h a t space t h e space n a t u r e space o f space i m a g e space i s space r e a l comma space i n v e r t e d space a n d space v a l u e space 2 space w h i c h space i s space g r e a t e r space t h a n space 1 space i n d i c a t e s space t h a t space
i m a g e space f o r m e d space i s space m a g n i f i e d divided by e n l a r g e d.
m space equals space h subscript i over h subscript o equals negative v over u
t h u s comma space
minus 2 equals h subscript i over h subscript 0 equals h subscript i over 1
h subscript i equals negative 2 space c m space
T h i s space i n d i c a t e s space t h a t space t h e space i m a g e space i s space r e a l space a n d space i n v e r t e d space a n d space t w i c e space t h e space s i z e space o f space a n space o b j e c t. space
Answered by Shiwani Sawant | 21 Oct, 2020, 07:22: PM
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