Compute the ratio of the wavelength of red light (lambda = 700 nm) to the distan

Question

Compute the ratio of the wavelength of red light (lambda = 700 nm) to the distance between the lines on the grating. Compute the diffraction angle theta at which a spectroscopic line of wavelength 700 nm would be in a first-order spectrum (n = 1) for the grating spectrometer described in this experiment. Evaluate the ratio Z^2/hc Ry, where the Rydberg constant Ry = 2.18 times 10^-18 J, Z = 1. Planck's constant, h = 6.626076 times 10^-34 J s, and c is the speed of light; c = 2.9979 times 10^8 m s^-1. Express the final answer in nanometers. (1 nm = 1 times 10^-9 m)

Explanation / Answer

4)   

Wavelength = velocity/frequency

Frequency of red light = 4×104 Hz

700 = velocity/4×104 Hz

Velocity = 28 × 10 6m/s

For red light:

For red light:sinø= wavelength/distance

= 7.5×10-7 /2×10-6

=0.375

angle qr = 22°

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