### Problem Statement:**(1) Calculate the wavelength of an electron traveling with a speed of 2.63 x 10⁶ m/s.**### Explanation:To solve this problem, we use the de Broglie wavelength formula:\[ \lambda = \frac{h}{mv} \]Where:- $ \lambda $ is the wavelength.- $ h $ is Planck's constant ($6.626 \times 10^{-34} \, \text{Js}$).- $ m $ is the mass of the electron ($9.11 \times 10^{-31} \, \text{kg}$).- $ v $ is the speed of the electron ($2.63 \times 10^6 \, \text{m/s}$).By substituting these values into the formula, you can calculate the wavelength of the electron.

Given, Speed of electron = 2.63*106 m/s Wavelength = ?

Answered: (1) Calculate the wavelength of an…

Science

Chemistry

(1) Calculate the wavelength of an electron traveling with a speed of 2.63 x 106 m/s.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Q: Calculate the de Broglie frequency of an electron with a velocity of 5.0 x 10 -3 times the speed of…

A: Velocity of electron is 5.0×10-3 times the speed of light.Mass of an electron is 9.11×10-31 kgde…

Q: What is the de Broglie wavelength in meters of a mosquito weighing 1.40 mg and flying at 1.98 m/s ?

Q: What is the frequency of a particle of wavelength 752.4 nm?

A: Given Wavelength = 752.4 nm 1 nm = 10-9 meter 752.4 = 752.4 × 10-9 meter Hence…

Q: Calculate the wavelength (m) for an electron with a mass of 9.11 x 10-31kg and a kinetic energy of…

Q: Calculate the velocity of an electron (me = 9.10939×10-31 kg) having a de Broglie wavelength of…

A: The de Broglie hypothesis: De Broglie proposed that just as light has both wave-like and…

Q: Calculate the wavelength of an electron traveling at 2.35×10^7 m/s.

A: We can calculate the wavelength of the electron using De Broglie's formula ;

Q: Calculate the energy (in joules) of a photon with a wavelength of 5.00 x 104 nm.

Q: Calculate the wavelength (in nanometers) of a photon emitted by a hydrogen atom when its electron…

Q: The mass of a golf ball is 45.9g . If it leaves the tee with a speed of 65.0m/s, what is its…

A: Mass (m) = 45.9 g = 0.0459 Kg Speed (v) = 65.0 m/s Plank's constant (h) = 6.63 × 10-34 Kg.m2.s-2.s…

Q: What is the wavelength in Angstroms of an electron moving with a speed of 5.469 x 106 m/s in a…

A: Given Mass of electron ( m ) = 7.88 × 10-31 Kg speed ( v ) = 5.469 × 106 meter/sec Wavelength in…

Q: Given the mass of an electron is 9.11 x 10-31 kg. Calculate the wavelength of an electron moving…

A: Formula used Wavelength = h/ me * V where h = planks contant = 6.626* 10-34Kgm2s-1 me = 9.11*…

Q: Protons can be given very high energies in a particle accelerators. What is the wavelength in…

Q: The mass of a golf ball is 45.9 gg . If it leaves the tee with a speed of 74.0 m/sm/s , what is its…

Q: what is the wavelength of an electron orbiting in a hydrogen if it has a mass of 9.11x10^-31kg and a…

A: De-Broglie wave equation is used to calculate the wavelength of matter wave. Write the De-Broglie…

Q: Calculate the DeBroglie wavelength of a Yukon Denali (the sport utility vehicle) with a mass of 2480…

A: Given: Mass = 2480 kg velocity=70.0 miles per hour

Q: What is the wavelength of an electron moving with a speed of 5.55 x 10^5 m/s?

A: Given;

Q: Calculate the wavelength of an electron and proton, each travelling 6% of the speed of light.

A: Answer:- This question is answered by using the simple concept of de Broglie' s principle of dual…

Q: What is the average speed of a beam of hydrogen atoms if they have a wavelength of 125 pm? Mass of a…

Q: When an electron travels at a speed of 1.00 x 103 m/s it has wavelength of 727 nm. What would be the…

Q: Calculate the de Broglie wavelength of an electron traveling with a speed of 2.35 x 106 m/s.

Q: Calculate the characteristic wavelength of an electron traveling at 4.8E5 m/s.

A: Given information: speed of an electron, v= 4.8×105ms

Q: How fast (in m/s) must a 0.882 lbs. football travel to have a de Broglie wavelength equal to a…

A: The De Broglie wavelength is given by where λ = wavelength in m h = Plank's constant = 6.626 X…

Q: Determine the wavelength of a particle, in meters, with a mass of 2.37x10-37 kg traveling through…

A: We know lmbda=h/mv Lmbda=6.62×10-34÷2.37x10-37×2.50x104 Solve this equation Lmbda=0.112m

Q: Protons can be accelerated to speeds near the speed of light in particle accelerators. Calculate the…

A: Interpretation - To determine the wavelength of a proton moving at 2.90 x 108 m/s if the proton was…

Q: Consider a wave with a wavelength  = 2.5 cm that traveling at a speed of 15 m/s. (a) How long does…

A: Answer a) To travel a distance of one wavelength it takes 0.00167 seconds b) The no.of wavelengths…

Q: Calculate the wavelength in m of an electron travelling at 160 km/hr.

A: The scientist de Broglie gave a quantitative meaning to his idea by proposing an equation which…

Q: The mass of a golf ball is 45.9 g . If it leaves the tee with a speed of 73.0 m/s , what is its…

A: De Broglie equation provides the relationship between wavelength of a particles and its mass which…

Q: calculate the wavelength of an electron traveling at 1.35 ×10^7 m/s

A: The de Broglie hypothesis: According to De Broglie just as light has both wave-like and…

Q: Silver has a work function, Φ, of 4.64 eV. If a sample of silver is bombarded with 215 nm photons,…

A: The work function of silver is 4.64 eV. The wavelength of photon bombarded with silver is 215 nm.

Q: What is the wavelength of light emitted (in nm) when an electron transitions from the n=2 to the…

A: For the transition from n=2 to the ground state, the energy, ΔE, of the light emitted is;…

Q: A proton travels through space with an effective wavelength of 3.00x10^-12 m. What is its speed?

A: The de Broglie equation of wavelength is given below.

Q: A photon has the same momentum as an electron moving with a speed of 2.0 x 10$ m/s. What is the…

Q: What is the de Broglie wavelength (in meters) of a mosquito weighing 1.65 mg and flying at 1.42 m/s…

A: Speed of the mosquito (v) = 1.42 m/smass of mosquito (m) = 1.65 mg = 1.65 × 10-6 Kgde Broglie…

Q: Calculate the de Broglie wavelength of a 0.56 kg ball moving with a constant velocity of 26 m/s…

A: de Broglie wavelength = h/mv Where h is plank constant Given that m= 0.56kg , v = 26 m/s

Q: What is the wavelength in Angstroms of an electron moving with a speed of 5.673 x 106 m/s in a…

Q: What is the de Broglie wavelength of an object with a mass of m = 6.76 kg moving at a speed of v =…

A: The de-Broglie wavelength of the moving object is calculated as,

Q: What is the wavelength of an electron traveling 5.0 × 106 m/s? The mass of an electron is 9.109 ×…

A: As per the data given in the question,mass of electron, m = 9.109×10-31 kgvelocity of electron, v =…

Q: 1) Calculate the de Broglie wavelength of a neutron (mn = 1.67493×10-27 kg) moving at one thousandth…

Question

### Problem Statement:

**(1) Calculate the wavelength of an electron traveling with a speed of 2.63 x 10⁶ m/s.**

### Explanation:

To solve this problem, we use the de Broglie wavelength formula:

\[ \lambda = \frac{h}{mv} \]

Where:
- $ \lambda $ is the wavelength.
- $ h $ is Planck's constant ($6.626 \times 10^{-34} \, \text{Js}$).
- $ m $ is the mass of the electron ($9.11 \times 10^{-31} \, \text{kg}$).
- $ v $ is the speed of the electron ($2.63 \times 10^6 \, \text{m/s}$).

By substituting these values into the formula, you can calculate the wavelength of the electron.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Calculate the wavelength of an electron (m = 9.11 × 10-28 g) with a velocity of 8.38 × 106 m/s.
Assuming that the smallest measurable wavelength in an experiment is 0.430 fm, what is the maximum mass of an object traveling at 507 m⋅s^−1 for which the de Broglie wavelength is observable? ?= kg
A molecule of nitrogen (N2) is moving in a container with a speed of 270.4 m/s. Determine its wavelength (in units of nanometers). hint: molar mass atomic nitrogen = 14.0067 g/mol
Calculate the characteristic wavelength of an electron traveling at 5.99E5 m/s..
????
Silver has a work function, Φ, of 4.64 eV. If a sample of silver is bombarded with 213 nm photons, what will be the wavelength (in meters) of the photo-ejected electrons? (1 eV = 1.60 × 10⁻¹⁹ J, the mass of an electron is 9.109 x 10⁻³¹ kg, and Planck's constant is 6.626 x 10⁻³⁴ Js.)
Compare the de Broglie wavelength of a bullet moving at 700 miles per hour (313 m/s) to that of an alpha particle moving at3.40×107 miles per hour (1.52×107 m/s) and an electron with a speed of 1.30×107 miles per hour (5.81×106 m/s)
You are hitting the surface of zinc with an incoming energy that has a frequency of 5.0 x 109 MHz. What is the wavelength of the ejected electron in inches?
Calculate the energy of a photon that has a wavelength of 91.1 nm. Recall that 1 m = 109 nm.
Calculate the de Broglie wavelength (in nanometers) of a hydrogen atom (m = 1.674 × 10–27 kg) moving at 1500 cm/s.
What is the wavelength (in m) of an electron moving at 2.60% of the speed of light? m
If an electron were to move from n=4 to n=2 and produce light with a wavelength of 580 nm, what is the wavelength equivalent in meters?