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What is the wavelength of the wave with a frequency of 3 x 10 Hz?
A. 7 x 10-7 m
C. 1 x 10-3 m
B. 1 x 10-11 m
D. 4 x 10-7 m.


Sagot :

Question:

What is the wavelength of the wave with a frequency of 3 x 10 Hz?

Solution:

[tex] \sf{Formula:} \\ \lambda = \frac{c}{f} [/tex]

[tex] \lambda \: = \sf{wavelength \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ c = \sf{speed \: of \: light \: in \: vacuum} \\ f = \sf{frequency \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ [/tex]

Evaluate

c= 3.00 × 10⁸ m/s

f= 3 × 10 Hz or 3 × 10 1/s (Hz = 1/s)

[tex] \lambda = \frac{3.00 \times {10}^{8} m/s}{3 \times 10 \: 1/s} [/tex]

[tex] \lambda = \frac{3.00 \times {10}^{8} m/ \cancel{s}}{3 \times 10 \: 1/ \cancel{s}}[/tex]

[tex] \lambda = 10000000m \: or1 \times {10}^{7} m[/tex]