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Question Number 52593 by Tinkutara last updated on 10/Jan/19

Commented by Tinkutara last updated on 10/Jan/19

b part please

Answered by ajfour last updated on 11/Jan/19

(μ_2 −μ_1 )t=dsin θ_0   (y_0 /D) = tan θ_0 ≈ sin θ_0  = (((μ_2 −μ_1 )t)/d)  this gives  y_0  ≈ 1.25cm  y_1 = y_0 +((λD)/d) = 1.25cm±0.49mm     i was wrong, and i am still wrong,  i shall try again..

$$\left(\mu_{\mathrm{2}} −\mu_{\mathrm{1}} \right){t}={d}\mathrm{sin}\:\theta_{\mathrm{0}} \\ $$$$\frac{{y}_{\mathrm{0}} }{{D}}\:=\:\mathrm{tan}\:\theta_{\mathrm{0}} \approx\:\mathrm{sin}\:\theta_{\mathrm{0}} \:=\:\frac{\left(\mu_{\mathrm{2}} −\mu_{\mathrm{1}} \right){t}}{{d}} \\ $$$${this}\:{gives}\:\:{y}_{\mathrm{0}} \:\approx\:\mathrm{1}.\mathrm{25}{cm} \\ $$$${y}_{\mathrm{1}} =\:{y}_{\mathrm{0}} +\frac{\lambda{D}}{{d}}\:=\:\mathrm{1}.\mathrm{25}{cm}\pm\mathrm{0}.\mathrm{49}{mm} \\ $$$$\:\:\:{i}\:{was}\:{wrong},\:{and}\:{i}\:{am}\:{still}\:{wrong}, \\ $$$${i}\:{shall}\:{try}\:{again}.. \\ $$$$ \\ $$

Commented by Tinkutara last updated on 11/Jan/19

But answers given are (a) 4.9×10^-4 m (b) 0.021 cm on one side and 0.028 cm on other side

Commented by Tinkutara last updated on 11/Jan/19

But Sir I also got the same answers as yours, then where is the mistake?

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