Question

A beam of white light is incident normally on a grating with 2,458 lines per cm. The grating separates the light into its component colors. What is the angular separation of the first-order red light (650 nm) and the second-order blue light (450 nm) in degrees? Enter a number with two digits behind the decimal point.

Name: a beam of white light is incident normally on a grating with 2458 lines per cm the grating separates the light into its component colors what is the angular separation of the first order red 97648
Uploaded: 2022-11-11T01:25:01-08:00
Duration: 1 min 23 s
Channel: Penny Riley
Description: a beam of white light is incident normally on a grating with 2458 lines per cm the grating separates the light into its component colors what is the angular separation of the first order red 97648

          A beam of white light is incident normally on a grating with 2,458 lines per cm. The grating separates the light into its component colors. What is the angular separation of the first-order red light (650 nm) and the second-order blue light (450 nm) in degrees?
Enter a number with two digits behind the decimal point.

Added by William V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

11/11/2022

Step 1

For the first-order red light (m = 1, lambda = 650 nm = 650 * 10^(-9) m): theta1 = sin^(-1)((1 - 1/2) * (2458 * 10^2) * (650 * 10^(-9))) theta1 = sin^(-1)(0.5 * 2458 * 10^2 * 650 * 10^(-9)) theta1 = sin^(-1)(0.5 * 1597 * 10^(-4)) theta1 = sin^(-1)(0.07985) theta1 Show more…

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A beam of white light is incident normally on a grating with 2,458 lines per cm. The grating separates the light into its component colors. What is the angular separation of the first-order red light (650 nm) and the second-order blue light (450 nm) in degrees? Enter a number with two digits behind the decimal point.