Question

an angular momentum of electron in bohrs orbits if j.what will be the K.E of that bohrs orbits?

Answer 1

according to Bohr

angular momentum of an electron = nh/2(pi)

hence,

mvr = nh/2(pi)

according to question angular momentum is “J”

means 

nh/2(pi) = J

now 

mvr = nh/2(pi)

squaring both sides

m2v2r2 = n2h2/4(pi)2

m2v2r2 = J2

now knietic energy = 1/2mv2

hence,

multiplying both sides my ½

1/2m2v2r2 = J2/2

1/2mv2 = J2/2r2m

Answer 2

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