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Protons can be acceleration in particle accelerators. Calculate the wavelength (in Å) of such accelerated proton moving at `2.85 xx 10^8 ms^(-1)` (the mass of proton is `1.673 xx 10^(-27) Kg)`.

Text Solution

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Given : `v = 2.85 xx 10^8 ms^(-1)`
`m_p = 1.673 xx 10^(-27) Kg`
`lambda = h/(mv)`
`= (6.626 xx 10^(-34) Kgm^2s^(-1))/(1.673 xx 10^(-27) kg xx 2.85 xx 10^8 ms^(-1))`
`lambda = 1.389 xx 10^(-15) implies lambda = 1.389 xx 10^(-15) Å`
`[ :. Å = 10^(-10)m]`.
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