Two spectral lines in a spectrum have frequencies of 2.0 x 10¹⁴ Hz and 4.6 x 10¹⁴ Hz. A higher-frequency line in the same spectrum likely has a frequency of A)2.6 x 10¹⁴ Hz. B)6.6 x 10¹⁴ Hz. C)13.2 x 10¹⁴ Hz. D)none of the above

Question

Quizplus · Accepted Answer

One way to approach this problem is to look for a pattern in the frequencies of the spectral lines. If we take the ratio of the two given frequencies, we get:

(4.6 x 10^14 Hz) / (2.0 x 10^14 Hz) = 2.3

This suggests that the frequencies of the spectral lines are spaced by a factor of 2.3. To find the frequency of the higher-frequency line, we can multiply the frequency of the lower-frequency line by 2.3:

(2.0 x 10^14 Hz) x 2.3 = 4.6 x 10^14 Hz

Therefore, the answer is B)6.6 x 10^14 Hz.

Two Spectral Lines in a Spectrum Have Frequencies of 2