Derive the expression for a de Broglie wavelength of a relativistic particle moving with kinetic energy T.

Question:

Derive the expression for a de Broglie wavelength λ of a relativistic particle moving with kinetic energy T. At what values of T does the error in determining λ using the non-relativistic formula not exceed 1 % for an electron and a proton?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Physics For Scientists And Engineers A Strategic Approach With Modern Physics

ISBN: 9780321740908

3rd Edition

Authors: Randall D. Knight

See More Books

Question Posted: Aug 30, 2010 01:03 AM

See More Questions

An electron has a de Broglie wavelength = 5.0 x 1010m. (a) What is its momentum? (b) What is its speed? (c) What voltage was needed to accelerate it to this speed?
An electron has a de Broglie wavelength of 2.80 X 10-10 m. Determine (a) The magnitude of its momentum and (b) Its kinetic energy (in joules and in electron volts).
An electron and a proton have the same kinetic energy and are moving at speeds much less than the speed of light. Concepts: (i) How is the de Broglie wavelength l related to the magnitude p of the...
Explain why a decline in investment spending caused by a change in business expectations leads to a fall in consumer spending.
Rogers Machinery Company borrowed $330,000 on February 1, with a 6-month, 10%, interest-bearing note. Required: 1. Record the borrowing transaction. 2. Record the repayment transaction.
A cryogenic fluid as liquid nitrogen at 90 K, 400 kPa flows into a probe used in cryogenic surgery. In the return line the nitrogen is then at 160 K, 400 kPa. Find the specific heat transfer to the...
What are differentiation and integration? LO.1
Ryan Murphy, nephew of the author, swims for the University of California at Berkeley. Ryan's best time in the 100-meter backstroke is 45.3 seconds. The mean of all NCAA swimmers in this event is...
ing assct lumover (NUAT)of 2016, CUI H Nin d. Compute net nonoperating obligations (NNO) for 2016 and 2015. Confirm the relation: NOA = NNO + Total equity c. Compute return on equity (ROE) for 2016,...
The beginning inventory for Midnight Supplies and data on purchases and sales for a three-month period are shown in Problem 6-1A. Instructions 1. Determine the inventory on March 31 and the cost of...
Calculate the most probable de Broglie wavelength of hydrogen molecules being in thermodynamic equilibrium at room temperature.
At what value of kinetic energy is the de Broglie wavelength of an electron equal to its Compton wavelength?
The accounts receivable turnover ratio is 8.14, and average net receivables during the period are $400,000.What is the amount of net credit sales for the period?
A year-end cut-off error occurred in 2017. A large shipment of nonperishable supplies arrived from South America on the last day of 2017 and had been left in the shipping containers outside the main...
15. [5] It's not so difficult to incorporate time-varying volatility into the BSM model as long as the time variation is not random. Assume a BSM economy, but this time, assume that the volatility of...
3.6. Explain and discuss the potential benefits to be gained by using blade twist, plan- form taper, low solidity, large radius, and low rotational speed for the main rotor of a heavy lift helicopter...
2. A VRM (Voltage Regulator Modul) is used to supply the voltageto the CPU of a computer. In the new generation of microprocessors,whose power consumption is 100W, the input voltage to the VRM is12V...
Alvarado Company produced 6,400 units of product that required 5.5 standard direct labor hours per unit. The standard variable overhead cost per unit is $5.80 per direct labor hour. The actual...
What is a secured loan? AppendixLO1
The MIT Sloan School of Management is one of the leading business schools in the U.S. The following table contains the tuition data for the masters program in the Sloan School of Management. a. Use...
A molten 50.0-kg quantity of gold at 1063 C is to be solidified without changing its temperature. What must be done?
Diplomatic Security Service provides Airport Transportation and Surveillance Service to Foreign Diplomats in Guyana. The company has two support departments - Information Systems and Equipment...
Q1: A disparity of bargaining power between the parties to a contract may result in unfair terms but a court is not likely to consider the contract unconscionable. Group of answer choices a. True b....
Life Tool Manufacturing has a system in place to recall products that prove to be dangerous at some time after manufacture and distribution. This represents which element of the due care theory?...

Derive the expression for a de Broglie wavelength of a relativistic particle moving with kinetic energy T.

Question:

Step by Step Answer:

For a relativistic particle Squaring Hence SO Tmc total energy cp m c TT2mc cp I...View the full answer

Physics For Scientists And Engineers A Strategic Approach With Modern Physics

Students also viewed these Atomic And Nuclear Physics questions