Calculating the Wavelength of a Laser Using Diffraction Grating

What is the wavelength of the laser in the experiment?

(a) 6 nm (b) 63 nm (c) 633 nm (d) 6333 nm (e) 63333 nm

Final answer:

The wavelength of the laser in the experiment cannot be determined as the spacing between the grating rulings is not given.

To calculate the wavelength of the laser in the experiment, we can use the formula λ = d * sin(θ), where λ is the wavelength, d is the spacing between the grating rulings, and θ is the angle of diffraction. Since the question does not provide the angle of diffraction, we can assume that it is not required to calculate the wavelength. Therefore, we only need to consider the spacing between the grating rulings. Given that the spacing between the grating rulings is not provided in the question, we cannot determine the wavelength of the laser.

Final answer:

The wavelength of the laser in the experiment is likely to be 633 nm based on the common wavelength of a He-Ne laser, which is 632.9 nm and is close to the given option (c) 633 nm.

To determine the wavelength of the laser in the given experiment, one must use the diffraction grating equation, which relates the wavelength of the light (λ) to the grating spacing (d) and the angle of diffraction (θ). The equation is given as λ = d × sin(θ) / m, where m is the order of the diffraction pattern. Typically, the wavelength of a common laser like a He-Ne laser is around 632.9 nm, which matches with option (c) 633 nm. Using a grating with known line spacing, the observed diffraction angle allows for calculation of the laser's wavelength. Without the specific details of the grating's line spacing and the angle of diffraction, we can infer based on common laser types that the wavelength of the laser in the experiment is likely to be 633 nm (option c).