1.

In a young ,s double slit experiment distance the slits is 1mm. The fringe width is found to be 0.mm. when the screen is moved through a distance of 0.25m away from the plane of the slit used .

Answer»

Solution : `BETA= 0.6xx10^(-3)m,beta_(2)=0.75xx10^(-3)m`
`d= 1xx10^(-3)m, D_(1) = Dm, D_(2) = (D+ 0.25 ) m, lamda= ?`
`beta_(1) = (lamdaD_(1))/(d) = (lamdaD)/(1xx10^(-3)) rightarrow(1)`
`beta_(2)= ( lamda(D_(2)))/(d) = (lamda(D+0.25))/(1xx10^(-3)) rightarrow(2)`
`beta-(1))/(beta_(2))= (0.6xx10^(-3))/(0.75xx10^(-3))= (lamdaD)/(lamda(D + 0.25))`
`(D+ 0.25)0.6xx10^(-3)= 0.75xx10^(-3)D`
`RightarrowD=1m`
Subsituting the value of D in eqaution (1) or (2)
`lamda= (beta_(1)d)/(D)= (0.6xx10^(-3)xx10^(-3))/(1)`
`lamda=6xx10^(-7)m= 6000A^(@)`


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