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+// Scilab Code Ex4.5 : Page-92 (2010)

+N = 4000e+02;    // Number of lines per m on grating, per m

+// For Blue Line

+lambda = 450e-009;    // Wavelength of blue light, m

+n = 3;    // Order of diffraction spectrum

+// We have sin(theta) = n*N*lambda, solving for sin(theta)

+sin_theta_3 = n*N*lambda;    // Sine of angle at third order diffraction 

+// For Red Line

+lambda = 700e-009;    // Wavelength of blue light, m

+n = 2;    // Order of diffraction spectrum

+// We have sin(theta) = n*N*lambda, solving for sin(theta)

+sin_theta_2 = n*N*lambda;    // Sine of angle at second order diffraction

+// Check for overlapping

+if abs(sin_theta_3 - sin_theta_2) < 0.05 then

+    printf("\nThe two orders overlap.");

+else

+    printf("\nThe two orders do not overlap.");

+end

+

+// Result 

+// The two orders overlap. 
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