Concept explainers
Use Figure 3.4 to specify the region of the
Hint: Change each wavelength to meters before making the comparison.
- a. 2.0 cm
- b. 50 um
- c. 400 nm
- d. 150 mm
Figure 3.4
The electromagnetic spectrum, highlighting the visible region. Note that 10x is equivalent to 1 × 10x.
(a)
Interpretation:
The region of the electromagnetic spectrum for the given wavelength has to be specified.
Concept-Introduction:
Wavelength: The distance between successive peaks in a wave and measured in units of length.
Frequency: The number of waves passed a point in a certain amount of time.
Relation between wavelength and frequency:
Where, c is constant, the value of c is
Conversion of centimeter into meter (cm to m):
Explanation of Solution
The wavelength is
Conversion of centimeter to meter is,
Therefore, the given value of wavelength in meter is
(b)
Interpretation:
The region of the electromagnetic spectrum for the given wavelength has to be specified.
Concept-Introduction:
Wavelength: The distance between successive peaks in a wave and measured in units of length.
Frequency: The number of waves passed a point in a certain amount of time.
Relation between wavelength and frequency:
Where, c is constant, the value of c is
Conversion of micrometer into meter (
Explanation of Solution
The wavelength is
Conversion of micrometer to meter is,
Therefore, the given value of wavelength in meter is
(c)
Interpretation:
The region of the electromagnetic spectrum for the given wavelength has to be specified.
Concept-Introduction:
Wavelength: The distance between successive peaks in a wave and measured in units of length.
Frequency: The number of waves passed a point in a certain amount of time.
Relation between wavelength and frequency:
Where, c is constant, the value of c is
Conversion of nanometer into meter (nm to m):
Explanation of Solution
The given wavelength is
Conversion of nanometer to meter is,
Therefore, the given value of wavelength in meter is
(d)
Interpretation:
The region of the electromagnetic spectrum for the given wavelength has to be specified.
Concept-Introduction:
Wavelength: The distance between successive peaks in a wave and measured in units of length.
Frequency: The number of waves passed a point in a certain amount of time.
Relation between wavelength and frequency:
Where, c is constant, the value of c is
Conversion of millimeter into nanometer (mm to m):
Explanation of Solution
The given wavelength is
Conversion of millimeter to meter is,
Therefore, the given value of wavelength in meter is
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