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A mirror and a source of light are situated at origin O & at a point on OX respectively. A ray of light from sources strikes the mirror along x-axis & reflected. If the DRs of normal to plane are `lt1-1,1gt`, then DCs of reflected ray areA. `(:(1)/(3),(2)/(3),(2)/(3):)`B. `(:(-1)/(3),(-2)/(3),(2)/(3):)`C. `(:(-1)/(3),(-2)/(3),(-2)/(3):)`D. None |
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Answer» Correct Answer - B For B to win: PR or `overset(RBR)(BR R)` `{:("Black",,"Red",,"B(n)",,,),(1,,2,,B(1)=1,,,overset(A(n))A(1)=0),(2,,2,,B(2)=(2)/(4).(1)/(3)+(2)/(4).(2)/(3).(1)/(2)+(2)/(4).(2)/(3).(1)/(2),,,),(3,,2,,B(3)=(2)/(5).(1)/(4)+(2)/(5).(3)/(4).(1)/(3)+(3)/(5).(2)/(4).(1)/(3),,,),(n,,2,,B(n)=(2)/(n+2).(1)/(n+1)+(2)/(n+2).(n)/(n+1).(1)/(n)+(n)/(n+2).(2)/(n+2).(1)/(n),,,):}` `therefore B(n) = (6)/((n+1)(n+2))` `A(n)=1-B(n)=((n-1)(n+4))/((n+1)(n+2))` `pi[A(n)]=(6xx(n+2)(n+3)(n+4))/(3xx4xx5.n(n+1)(n+2))` |
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