What is the wavelength of light if its frequency is 5 x 10^14 Hz?
Correct Answer: 6 x 10^-7 m
- Step 1: Understand the formula for wavelength (λ). The formula is λ = c / f, where c is the speed of light and f is the frequency.
- Step 2: Identify the values you have. The frequency (f) is given as 5 x 10^14 Hz, and the speed of light (c) is 3 x 10^8 m/s.
- Step 3: Plug the values into the formula. Replace c with 3 x 10^8 and f with 5 x 10^14 in the formula: λ = (3 x 10^8) / (5 x 10^14).
- Step 4: Perform the division. Calculate 3 x 10^8 divided by 5 x 10^14.
- Step 5: Simplify the calculation. This can be done by dividing the numbers and subtracting the exponents: λ = 3/5 x 10^(8-14).
- Step 6: Calculate 3/5, which is 0.6. Then, calculate 10^(8-14) which is 10^-6.
- Step 7: Combine the results. λ = 0.6 x 10^-6 m, which can be written as 6 x 10^-7 m.
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