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CBSE Class 10 Answered

number of images formed by two plane mirrors if inclined at 40°
Asked by sadiqfayaz07 | 07 Jan, 2023, 08:31: PM
answered-by-expert Expert Answer
Let θ be the angle between mirror , then number n of images is
 
if ( 360 / θ ) is even then n = ( 360 / θ ) - 1
 
if ( 360 / θ ) is odd and object is placed symmetrically  then n = ( 360 / θ ) - 1
 
if ( 360 / θ ) is odd and object is not placed symmetrically  then n = ( 360 / θ )
 
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case (1) , object is placed symmetrically , i.e. object is on anglular bisector
 
 θ = 40° ,  ( 360 / 40 ) = 9  , odd number   , hence numver of images n = 9-1 = 8
 
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case (2) , object is not placed symmetrically , i.e. object is not on anglular bisector
 
 θ = 40° ,  ( 360 / 40 ) = 9   , hence numver of images n = 9
 
 

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