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  • Help me answer: Calculate the wavelength (in nanometre) associated with a proton moving at 1.0 x 103 ms-1 (Mass of proton = 1.67 × 10-27 kg and h =6.63 × 10-34 Js)

Calculate the wavelength (in nanometre) associated with a proton moving at 1.0 x 103 ms-1 (Mass of proton = 1.67 × 10-27 kg and h =6.63 × 10-34 Js)

  • Option 1)

    0.032 \: nm

  • Option 2)

    0.40\: nm

  • Option 3)

    2.5 \: nm

  • Option 4)

    14.0 \: nm

 

Answers (2)

As we learnt in 

De-broglie wavelength -

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

- wherein

where m is the mass of the particle

v its velocity 

p its momentum

 

 \lambda = \frac{h}{mv} = \frac{{6.63} \times {10^{-34}}} {{1.67} \times {10^{-27}} \times {10^3}}

        =0.40 nm

 


Option 1)

0.032 \: nm

Incorrect

Option 2)

0.40\: nm

Correct

Option 3)

2.5 \: nm

Incorrect

Option 4)

14.0 \: nm

Incorrect

Posted by

Vakul

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