An experiment is carried out to determine the wavelength of light from a laser - Scottish Highers Physics - Question 10 - 2017
Question 10
An experiment is carried out to determine the wavelength of light from a laser.
(a) Explain, in terms of waves, how a maximum is formed.
(b) The experiment is carr... show full transcript
Worked Solution & Example Answer:An experiment is carried out to determine the wavelength of light from a laser - Scottish Highers Physics - Question 10 - 2017
Step 1
Explain, in terms of waves, how a maximum is formed.
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Answer
A maximum is formed when waves meet in phase, meaning that the crest of one wave aligns with the crest of another (or trough with trough). This in-phase alignment leads to constructive interference, amplifying the resultant wave's amplitude.
Step 2
Determine the wavelength of the light from the laser used in this experiment.
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Answer
To find the wavelength (λ), we can use the formula relating the gradient of the graph to the wavelength. The gradient m can be determined from the graph:
m=d1sin(θ)
Substituting in to calculate gradient gives:
λ=4.8×10−7m
Step 3
Determine the angle $\theta$ produced when a grating with a spacing $d$ of $2.0 \times 10^{-6}$ m is used with this laser.
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Answer
Using the same formula as before, we rearrange to get:
sin(θ)=m⋅d
Given d=2.0×10−6 m and using the previously calculated wavelength:
sin(θ)=2.0×10−64.8×10−7=0.24
From the graph, θ≈14∘.
Step 4
Suggest two improvements that could be made to the experiment to improve reliability.
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Answer
Repeat measurements to ensure accuracy and consistency.
Use additional gratings to gather more data points, which can help in refining the results.
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