# De Broglie Wavelength

1. Oct 17, 2008

### grapejellypie

1. The problem statement, all variables and given/known data
A 220lb fullback runs the 40-yd dash at a speed of 19.6 ± 0.1 mi/h. What is he de Broglie wavelength (in meters)?

2. Relevant equations
de Broglie Wavelength: λ=h/(mu), where λ=wavelenght, h=6.626 x 10^(-34) kgm^2)/s, m=mass (kg), and u= speed

3. The attempt at a solution
u=19.6 m/s x (1m / 0.6214mi) x (3600s / 1h) = 113550 m/s

m= 220lb x (0.4536kg/ 1lb) = 99.792kg

λ= [6.626 x 10^(-34) kgm^2)/s] / [99.792kg x 113550 m/s]
=5.847 x 10^-41 m (MY ANSWER)

The answer in the back of the book is 7.6 x 10^-37 m
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Oct 17, 2008

### Ygggdrasil

1m / 0.6214mi

This conversion is incorrect 1 km = 0.6241 miles.

3. Oct 18, 2008

### Redbelly98

Staff Emeritus
Recheck the units here.
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8607019782066345, "perplexity": 13450.607228844521}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2016-44/segments/1476988720967.29/warc/CC-MAIN-20161020183840-00291-ip-10-171-6-4.ec2.internal.warc.gz"}