Chapter 24, Problem 35 Review Interactive Solution 24.35 to see one model for so

Question

Chapter 24, Problem 35 Review Interactive Solution 24.35 to see one model for solving this problem. A distant galaxy emits light that has a wavelength of 501.6 nm. On earth, the wavelength of this light is measured to be 506.2 nm. (a) Decide whether this galaxy is approaching or receding from the earth. (b) Find the speed of the galaxy relative to the earth. (Give your answer to 4 significant digits. Use 2.998 x 108 m/s as the speed of light.) (a) The galaxy is from the earth. (b) Number the tolerance is +/-3% Click if you would like to Show Work fo Unit No units o (degrees) m/s Question Attempts: 0 of 5 used SAVE FOR LATER SUBMIT ANSWER W/m 2 Hz

Explanation / Answer

Solution:

A)  Receding

B)

As we know;

?o/?s = ?[1 + ?]/?[1 - ?]

Here;

?o = 506.2 nm and ?s = 501.6 nm

=> ?o/?s = 1.00917

so,

(?o/?s)² = 1.0184 = (1 + ?)/(1 - ?)

=> 1.0184 - 1.0184? = 1+?

=> ? = 0.009116

hence;

v = c?

=> v = 2.7348 * 106 m/s

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