(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.

Explanation

(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.