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(i)The uncertainties in the potisition and velocity of particle are `3.14 xx 10^(-10)m` and`5.27 xx 10^(-24) m//s` respectively . Calculate mass of the particle. (ii)Find the numberof waves made by a Bohr electron in one complete revolution in the 3rd Bohr orbit. |
Answer» (i) As `Delta x . Deltap = (h)/(4pi)` `impliesDelta x . mDelta v = (h)/( 4pi)` `:. m = ( h)/( 4pi xx Deltax xx Deltav) = ( 6.6 xx 10^(-34))/( 4 xx 3.14 xx 10^(-10) xx 5.27 xx 10^(-24)) = 10kg` (ii) Circumference of 3rd orbit `=2pi r_(3)` `mvr_(3) = ( 3h)/( 2pi) = ( 3h)/( 2pi) ` ....(A) For de-Brogile equation `lambda= ( h)/( mv)` ....(B) From equation (A) & (B) `lambda= ( h)/( 3h // 2pi r_(3)) implies3 lambda = 2pir_(3)` or `2pir_(3) 3 lambda` . Hence, 3 waves are formed in one complete revolution. |
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