   Chapter 28, Problem 24PE

Chapter
Section
Textbook Problem

If a galaxy moving away from the Earth has a speed of 1000 km/s and emits 656 nm light characteristic of hydrogen (the most common element in the universe). (a) What wavelength would we observe on the Earth? (b) What type of electromagnetic radiation is this? (c) Why is the speed of the Earth in its orbit negligible here?

To determine

(a)

The velocity of the canister relative to the Earth, when it is shot directly at Earth.

Explanation

Given info:

• The galaxy is moving away from Earth with speed 1000kms-1 .
• Convert the unit of speed from kms-1 to ms-1.

1000kms-1=1000kms×1000m1km=106ms-1

• The galaxy emits light of wavelength 656nm .

Formula used:

Formula to find the wavelength of light observer by the observer on Earth

λ0=λg1+uc1uc

Here, λ0 is the wavelength of the emitted light observed on Earth, λg wavelength of light emitted by the galaxy, u is the velocity of the galaxy and c is the speed of light

To determine

(b)

The type of electromagnetic radiation observed on Earth.

To determine

(c)

Why speed of the Earth is negligible for the observer.

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