The
To find: The frequency of light wave is higher, lower or the same after the light enters a piece of glass.
Answer to Problem 1CQ
The frequency of light wave is same after the light enters a piece of glass.
Explanation of Solution
Given data:
The frequency of light wave is
Formula used:
Write the expression for refractive index.
Here,
Write the expression for speed.
Here,
Explanation:
Draw the light wave travels from air to glass as shown in Figure 1.
Refer to Table 17.1 in the textbook, the value of index of refraction for glass and air is
Modify equation (1) for air as follows.
Modify equation (2) for air as follows.
Substitute
Rearrange the equation.
Modify equation (1) for glass as follows.
Modify equation (2) for air as follows.
Substitute
Rearrange the equation as follows.
Here, the value of
Substitute
Substitute
Find the value of
Find the value of
Write the relation between
Re-arrange equation (4) as follows.
Re-arrange equation (6) as follows.
Divide equation (7) by (8).
Substitute
Conclusion:
Hence, the frequency of light wave is same after the light enters a piece of glass.
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