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Get Full Access to Chemistry: A Molecular Approach - 3 Edition - Chapter 6.2se - Problem 1pe
Get Full Access to Chemistry: A Molecular Approach - 3 Edition - Chapter 6.2se - Problem 1pe

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# : Calculating Frequency from Wavelength The yellow light ISBN: 9780321809247 1

## Solution for problem 1PE Chapter 6.2SE

Chemistry: A Molecular Approach | 3rd Edition

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Problem 1PE

1PE: Calculating Frequency from Wavelength The yellow light given off by a sodium vapor lamp used for public lighting has a wavelength of 589 nm. What is the frequency of this radiation? Consider the following three statements: (i) For any electromagnetic radiation, the product of the wavelength and the frequency is a constant, (ii) If a source of light has a wavelength of 3.0 A, its frequency is 1.0 * 1018 Hz. (iii) The speed of ultraviolet light is greater than the speed of microwave radiation. Which of these three statements is or are true? (a) Only one statement is true, (b) Statements (i) and (ii) are true, (c) Statements (i) and (iii) are true, (d) Statements (ii) and (iii) are true, (e) All three statements are true.

Step-by-Step Solution:
Step 1 of 3

Solution: Here, we are going to find which of the given statements are true. Step1: The distance between two adjacent crests or troughs is called wavelength. It is denoted by the greek letter lambda() and is generally expressed in terms of Angstrom units(A ) [1 A = 10 o o -10m] On the other hand, the number of waves which pass through a given point in one second is known as the frequency. It is denoted by the greek letter nu() and is generally expressed in -1 terms of Hertz(Hz) [1 Hz = 1 sec ] If c is the velocity of light, the the relation between wavelength, frequency and velocity of light is given by: c = x ------(1) Step2: 8 i) As the velocity of light is constant, i.e., 3 x 10 m/sec, so, from equation (1) we can say that the product of wavelength and frequency is constant. Thus, statement (i) is true. ii) From equation (1), we can say that, c = -- Given, wavelength = 3.0 A = 3 x 10 -10m 8 -10 Therefore, frequency() = ( 3 x 10 m/sec) / (3 x 10 m) = 1.0 x 10 sec -1 18 = 1.0 x 10 Hz. Thus, statement (ii) is true. iii) Since, the speed of light is constant for all the radiations, therefore, statement (iii) is false. Hence, the correct option is (b). --------------

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##### ISBN: 9780321809247

This full solution covers the following key subjects: Statements, true, wavelength, frequency, III. This expansive textbook survival guide covers 82 chapters, and 9454 solutions. Since the solution to 1PE from 6.2SE chapter was answered, more than 505 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 1PE from chapter: 6.2SE was answered by , our top Chemistry solution expert on 02/22/17, 04:35PM. The answer to “1PE: Calculating Frequency from Wavelength The yellow light given off by a sodium vapor lamp used for public lighting has a wavelength of 589 nm. What is the frequency of this radiation? Consider the following three statements: (i) For any electromagnetic radiation, the product of the wavelength and the frequency is a constant, (ii) If a source of light has a wavelength of 3.0 A, its frequency is 1.0 * 1018 Hz. (iii) The speed of ultraviolet light is greater than the speed of microwave radiation. Which of these three statements is or are true? (a) Only one statement is true, (b) Statements (i) and (ii) are true, (c) Statements (i) and (iii) are true, (d) Statements (ii) and (iii) are true, (e) All three statements are true.” is broken down into a number of easy to follow steps, and 128 words. Chemistry: A Molecular Approach was written by and is associated to the ISBN: 9780321809247. This textbook survival guide was created for the textbook: Chemistry: A Molecular Approach, edition: 3.

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