Ch.6 - Electronic Structure of Atoms

Brown - Chemistry: The Central Science 14th Edition

Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경

Brown 14th Edition

Ch.6 - Electronic Structure of Atoms

문제 19b

6장, 문제 19b

(b) What is the wavelength of radiation that has a frequency of 5.50 × 10¹⁴ s^-1?

검증된 단계별 안내

Start by recalling the relationship between wavelength and frequency, which is given by the equation:

c = λ ν

, where

c

is the speed of light,

λ

is the wavelength, and

ν

is the frequency.

The speed of light

c

is a constant, approximately

3.00 \times 10^8 m/s

. Use this value in the equation.

Rearrange the equation to solve for wavelength

λ

λ = \frac{c}{ν}

Substitute the given frequency

5.50 \times 10^14 s - 1

into the equation.

Calculate the wavelength using the rearranged formula. Ensure your units are consistent, and remember that the result will be in meters.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Wave-Particle Duality

Wave-particle duality is a fundamental concept in quantum mechanics that describes how every particle or quantum entity exhibits both wave and particle properties. This duality is crucial for understanding electromagnetic radiation, which can be characterized by its wavelength and frequency.

Relationship Between Wavelength and Frequency

The relationship between wavelength and frequency is described by the equation c = λν, where c is the speed of light (approximately 3.00 × 10^8 m/s), λ is the wavelength, and ν is the frequency. This equation allows us to calculate one property if the other is known, highlighting the inverse relationship between wavelength and frequency.

Units of Measurement

Understanding the units of measurement is essential in chemistry. Frequency is measured in hertz (s^-1), while wavelength is typically measured in meters (m). Converting between these units is necessary when applying the wave equation to solve problems related to electromagnetic radiation.

(b) What is the wavelength of radiation that has a frequency of 5.50 × 1014 s-1?