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11.Dual Nature of Radiation and matter
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પ્રોટોનની ઝડપ $c/20$ છે.તેની સાથે સંકળાયેલી તરંગ લંબાઈ કેટલી હશે?

A$2.64 \times 10^{-24}\, mm$
B$2.64 \times 10^{-24}\, nm$
C$2.64 \times 10^{-24}\, \mathring A $
D$2.64 \times 10^{-14}\, m$

Solution

${v_0} = \frac{c}{{20}}$ આપેલા છે 
$\,{M_P}{V_P} = \bar P = \frac{c}{{20}} \times {M_P}$
$\lambda  = \frac{h}{P} = \frac{{6.6 \times {{10}^{ – 34}} \times {{10}^{ – 15}}}}{{3 \times {{10}^8} \times 1.69 \times {{10}^{ – 24}}}}m\,$
$ = \frac{{20 \times 6.6}}{{1.67 \times 3}} \times {10^{ – 15}}m = 2.64 \times {10^{ – 14}}m$
Standard 12
Physics

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