Question

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 × 10³ ms ⁻¹ .(Mass of proton = 1.67 × 10⁻²⁷ kg and h = 6.63 × 10⁻³⁴ Js)(a) 0.40 nm (b) 2.5 nm (c) 14.0 nm (d) 0.32 nm

Answer 1

A is correct answer

Explanation is given in pic

Answer 2

The wavelength associated with a proton is 0.397 nm

Explanation:

To calculate the wavelength, we use the equation given by De-Broglie's wavelength, which is:

$\lambda=\frac{h}{p}$

Or,

$\lambda=\frac{h}{mv}$

where,  

$\lambda$ = De-Broglie's wavelength = ?

h = Planck's constant = $6.63\times 10^{-34}Js$

m = Mass of proton = $1.67\times 10^{-27}kg$

v = velocity of proton = $1.0\times 10^3m/s$

Putting values in above equation, we get:

$\lambda=\frac{6.63\times 10^{-34}Js}{(1.67\times 10^{-27}kg)\times (1.0\times 10^3m/s)}\\\\\lambda=3.97\times 10^{-10}m=0.397nm$

Conversion factor used:  $1m=10^{9}nm$

Learn more about De-Broglie's wavelength:

https://brainly.in/question/11679317

https://brainly.com/question/14649950

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