In an interference pattern the (n+4) text th blue bright fringe and n text th red bright fringe are formed at the same spot. If red and blue light have the wavelength of 7800 mathringA and 5200 mathringA then value of n should be

Question

In an interference pattern the (n+4) text th blue bright fringe and n text th red bright fringe are formed at the same spot. If red and blue light have the wavelength of 7800 mathringA and 5200 mathringA then value of n should be (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Fringes are formed at same spot means fringes coincide n1 λ1=n2 λ2 (n+4) 5200 mathringA=(n) 7800 mathringA n=8

Q. In an interference pattern the $(n + 4)^{th}$ blue bright fringe and $n^{th}$ red bright fringe are formed at the same spot. If red and blue light have the wavelength of $7800 \overset{˚}{A}$ and $5200 \overset{˚}{A}$ then value of $n$ should be

Fringes are formed at same spot means fringes coincide
$n_{1} λ_{1} = n_{2} λ_{2}$
$(n + 4) 5200 \overset{˚}{A} = (n) 7800 \overset{˚}{A}$
$n = 8$

Q. In an interference pattern the (n+4)th blue bright fringe and nth red bright fringe are formed at the same spot. If red and blue light have the wavelength of 7800A˚ and 5200A˚ then value of n should be

Fringes are formed at same spot means fringes coincide n1​λ1​=n2​λ2​ (n+4)5200A˚=(n)7800A˚ n=8

Q. In an interference pattern the $(n + 4)^{th}$ blue bright fringe and $n^{th}$ red bright fringe are formed at the same spot. If red and blue light have the wavelength of $7800 \overset{˚}{A}$ and $5200 \overset{˚}{A}$ then value of $n$ should be

Fringes are formed at same spot means fringes coincide
$n_{1} λ_{1} = n_{2} λ_{2}$
$(n + 4) 5200 \overset{˚}{A} = (n) 7800 \overset{˚}{A}$
$n = 8$