Question

Please draw a diagram thank you!

Light from a sodium lamp passes through a diffraction grating having 1000 slits per millimeter. The interference patter is viewed on a screen 1.00 m from the grating. Two bright yellow fringes are visible at 72.88 cm and 73.00 cm from the central maximum. What are the wavelengths of the two fringes? 589.0 nm and 589.6 nm 72.88 nm and 73.00 nm 678.9 nm and 679.8 nm 711.7 nm and 771.9 nm ck Save and Submit to save and submit. ck Save All Answers to save all answers. Save and Submit ave All Answers

Answer 1

Given, d = 0.001/1000 = 1 times 10^-6 m x_1 = 0.7288 m_1 x_2 = 0.73 m theta_1 = tan^-1(0.7288/1) = 36.085 degrees theta_2 = tan^-1(0.73/1) = 36.129 degrees d sin theta = n lambda_1 lambda_1 = 1 times 10^-6 sin 36.085 degrees/1 = 589 nm lambda_2 = 1 times 10^-6 sin 36.129 degrees/1 = 589.6 nm option (a) 589.0 nm and 589.6 nm