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Wave Speed, Frequency, and Wavelength
Grade Level
Astronomy
AST.063 Wave Speed, Frequency, and Wavelength
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An astronomy data file lists one wave measurement. For near-infrared starlight, use c = 3.00 × 10
8
m/s and f = 2.00 × 10
14
Hz. Which calculator entry correctly finds λ?
A
Invert the ratio: λ = f/c = (2.00 × 10
14
Hz)/(3.00 × 10
8
) = 6.67 × 10
11
μm.
B
Divide by f twice: λ = c/f
2
= (3.00 × 10
8
)/(2.00 × 10
14
Hz)
2
= 7.50 × 10^-15 μm (in this context).
C
Convert f to 2.00 × 10
14
Hz, then λ = c/f = (3.00 × 10
8
m/s)/(2.00 × 10
14
Hz) = 1.50 μm.
D
Multiply instead of divide: λ = cf = (3.00 × 10
8
)(2.00 × 10
14
Hz) = 6.00 × 10
28
μm.
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