Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Problem 116

A laser is used in treating retina detachment. The wavelength of the laser beam is \(514 \mathrm{nm}\) and the power is \(1.6 \mathrm{~W}\). If the laser is turned on for \(0.060 \mathrm{~s}\) during surgery, calculate the number of photons emitted by the laser. \((1 \mathrm{~W}=1 \mathrm{~J} / \mathrm{s})\)

Short Answer

Expert verified
The number of photons emitted by the laser during the operation is calculated using energy per photon and total energy.

Step by step solution

01

Calculate Energy of an individual Photon

First, we need to calculate the Energy of a photon using its wavelength. Planck's constant (\(h\)) is approximately \(6.626 \times 10^{-34} \mathrm{~J . s}\) and the speed of light (\(c\)) is approximately \(3.0 \times 10^8 \mathrm{~m/s}\). Given the wavelength (\(λ\)) as \(514 \mathrm{~nm}\) or \(514 \times 10^{-9} \, \mathrm{m}\), the energy can be calculated using this formula: \(E = \frac{h \cdot c}{λ}\).
02

Convert Power into Energy

Power is energy per unit time. Since we know the power (\(P = 1.6 \mathrm{W}\)) and the time (\(t = 0.060 \mathrm{s}\)), we can calculate the total energy emitted by the laser during the operation using this formula: \(E_\text{total} = P \cdot t\).
03

Calculate the Number of Photons

Next we will divide the total energy by the energy of an individual photon to obtain the number of photons. So, number of photons \(N = \frac{E_\text{total}}{E}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Write the ground-state electron configurations for the following elements: Ge, Fe, Zn, Ni, W, TI.

The retina of a human eye can detect light when radiant energy incident on it is at least \(4.0 \times 10^{-17} \mathrm{~J}\). For light of 600 -nm wavelength, how many photons does this correspond to?

Give the values of the quantum numbers associated with the following orbitals: (a) \(2 p,\) (b) \(3 s,\) (c) \(5 d\).

Comment on the correctness of the following statement: The probability of finding two electrons with the same four quantum numbers in an atom is zero.

Discuss the similarities and differences between a \(1 s\) and a \(2 s\) orbital.
See all solutions

Recommended explanations on Chemistry Textbooks

Ionic and Molecular Compounds

Read Explanation

Nuclear Chemistry

Read Explanation

Physical Chemistry

Read Explanation

Making Measurements

Read Explanation

The Earths Atmosphere

Read Explanation

Chemical Analysis

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free