In a hypothetical system a particle of mass m and charge -3q is moving around a very heavy particle charge q. Assume that Bohr's model is applicable to this system.then velocity of mass m in first orbit is

Question

In a hypothetical system a particle of mass m and charge -3q is moving around a very heavy particle charge q. Assume that Bohr's model is applicable to this system.then velocity of mass m in first orbit is (A) (3q2/2 ∈0 h) (B) (3q2/4 ∈0 h) (C) (3q/2π ∈0 h) (D) (3q/4π ∈0 h)

Tardigrade Admin · Accepted Answer

(m ν2/r) = (1/4 π in0) (3q2/r2) m ν r = (nh/2 π) using above equations, putting n = 1 ν = (3 q2/2 in0 h)

Q. In a hypothetical system a particle of mass m and charge -3q is moving around a very heavy particle charge q. Assume that Bohr's model is applicable to this system.then velocity of mass m in first orbit is

$\frac{3 q ^{2}}{2 \in _{0} h}$

$\frac{3 q ^{2}}{4 \in _{0} h}$

$\frac{3 q}{2 π \in _{0} h}$

$\frac{3 q}{4 π \in _{0} h}$

$\frac{m ν ^{2}}{r} = \frac{1}{4 π i n _{0}} \frac{3 q ^{2}}{r ^{2}}$
$m ν r = \frac{nh}{2 π}$
using above equations, putting n = 1
$ν = \frac{3 q ^{2}}{2 i n _{0} h}$

Q. In a hypothetical system a particle of mass m and charge -3q is moving around a very heavy particle charge q. Assume that Bohr's model is applicable to this system.then velocity of mass m in first orbit is

2∈0​h3q2​

4∈0​h3q2​

2π∈0​h3q​

4π∈0​h3q​

rmν2​=4πin0​1​r23q2​ mνr=2πnh​ using above equations, putting n = 1 ν=2in0​h3q2​

$\frac{3 q ^{2}}{2 \in _{0} h}$

$\frac{3 q ^{2}}{4 \in _{0} h}$

$\frac{3 q}{2 π \in _{0} h}$

$\frac{3 q}{4 π \in _{0} h}$

$\frac{m ν ^{2}}{r} = \frac{1}{4 π i n _{0}} \frac{3 q ^{2}}{r ^{2}}$
$m ν r = \frac{nh}{2 π}$
using above equations, putting n = 1
$ν = \frac{3 q ^{2}}{2 i n _{0} h}$