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Diffstat (limited to '1871/CH3/EX3.6/Ch03Ex6.sce')
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diff --git a/1871/CH3/EX3.6/Ch03Ex6.sce b/1871/CH3/EX3.6/Ch03Ex6.sce new file mode 100755 index 000000000..4a0a725de --- /dev/null +++ b/1871/CH3/EX3.6/Ch03Ex6.sce @@ -0,0 +1,33 @@ +// Scilab code Ex3.6 : Pg:101 (2008)
+clc;clear;
+F = 12; // Focal length of the eye-piece, cm
+// For Huygen's eye-piece
+// As F = f1*f2/(f1 + f2 - d) and f1 = 3*f; f2 = f; d = 2*f, solving for f
+f = poly(0, 'f');
+f = roots(3*f*f-F*(3*f+f-2*f)); // Focal length of the eye-lens, cm
+d = 2*f(1); // Distance of separation of two lenses, cm
+f1 = 3*f(1); // Focal length of the first plano-convex lens, cm
+f2 = f(1); // Focal length of the second plano-convex lens, cm
+printf("\nFor Huygen eye-piece:");
+printf("\nThe focal lengths of the plano-convex lenses are %1.0f cm and %2.0f cm", f1, f2);
+printf("\nThe distance between the lenses = %2.0f cm", d);
+// For Ramsden eye-piece
+// As F = f1*f2/(f1 + f2 - d) and f1 = f; f2 = f; d = 2/3*f, solving for f
+f = poly(0, 'f');
+f = roots(f*f-12*(f+f-2/3*f)); // Focal length of the eye-lens, cm
+d = 2/3*f(1); // Distance of separation of two lenses, cm
+f1 = f(1); // Focal length of the first plano-convex lens, cm
+f2 = f(1); // Focal length of the second plano-convex lens, cm
+printf("\n\nFor Ramsden eye-piece:");
+printf("\nThe focal lengths of the plano-convex lenses are %1.0f cm and %2.0f cm", f1, f2);
+printf("\nThe distance between the lenses = %5.2f cm", d);
+
+// Result
+// For Huygen eye-piece:
+// The focal lengths of the plano-convex lenses are 24 cm and 8 cm
+// The distance between the lenses = 16 cm
+
+// For Ramsden eye-piece:
+// The focal lengths of the plano-convex lenses are 16 cm and 16 cm
+// The distance between the lenses = 10.67 cm
+// The distance between the lenses for Ramsden eye-piece is wrong in the textbook
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