Focal length of plane concave lens is
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1fL=(μ−1)[1∞−1−R]1fL=(μ−1)[1∞−1−R]
=μ−1R=μ−1R and fm=(−R)2fm=(−R)2
So, PL=1fL=(μ−1)RPL=1fL=(μ−1)R
and PM=−1fm=2RPM=−1fm=2R
and hence power of system
P=PL+Pm+PLP=PL+Pm+PL
=2PL+PM=2PL+PM
P=2(μ−1)R+2RP=2(μ−1)R+2R
=2μR=2μR
∴F=−1P=−R2μ∴F=−1P=−R2μ
ie the lens will be equivalent to a converging mirror of focal length (R2y)(R2y)
Hence b is the correct answer.
=μ−1R=μ−1R and fm=(−R)2fm=(−R)2
So, PL=1fL=(μ−1)RPL=1fL=(μ−1)R
and PM=−1fm=2RPM=−1fm=2R
and hence power of system
P=PL+Pm+PLP=PL+Pm+PL
=2PL+PM=2PL+PM
P=2(μ−1)R+2RP=2(μ−1)R+2R
=2μR=2μR
∴F=−1P=−R2μ∴F=−1P=−R2μ
ie the lens will be equivalent to a converging mirror of focal length (R2y)(R2y)
Hence b is the correct answer.
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