# The wavelength of a ball of mass 1kg moving with a velocity of $10ms^{-1}$ ? Option 1) $6.626\times 10^{-34} m$ Option 2) $6.626\times 10^{-35} m$ Option 3) $6.626\times 10^{-30} m$ Option 4) $6.626\times 10^{-33} m$

D Divya Saini

As 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

De Broglie's wavelength is given by:

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

$= \frac{6.626 \times 10^{-34}}{1 \times 10}$

$= 6.626 \times 10^{-35}\ m$

Option 1)

$6.626\times 10^{-34} m$

This option is incorrect

Option 2)

$6.626\times 10^{-35} m$

This option is correct

Option 3)

$6.626\times 10^{-30} m$

This option is incorrect

Option 4)

$6.626\times 10^{-33} m$

This option is incorrect

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