Question
If in Bohr's atomic model, it is assumed that force between electron and proton varies inversely as $r^4$, energy of the system will be proportional to
✓
Answer
$\frac{m v^2}{r}=\frac{k}{r^4}$
$V^2=\frac{k}{m r^3}$
we know
$m v r=\frac{n h}{2 x}$
$m^2 v^2 r^2=\frac{n^2 h^2}{4 \pi^2}$
$\frac{m^2 k r}{m r}=\frac{n^2 h^2}{4 x^2}$
$r=\frac{m k^3 \pi^2}{n^2 h^2}$
$k \cdot f=\frac{1}{2} m v^2=\frac{1}{2} m / \frac{k}{m r^3}$
$=\frac{1}{2} m^m \frac{K}{m^1 m^3}$
$E \alpha n^6$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The figure shows some of the electric field lines corresponding to an electric field. The figure suggests
It is found that electromagnetic signals sent inside glass sphere from $A$ towards $B$ reach point $C$. The speed of electromagnetic signals in glass cannot be:
→A ball of mass $m$ is attached to a string whose other end is fixed. The system is free to rotate in vertical plane. When the ball swings, no work is done on the ball by the tension in the string. Which of the following statements is the correct explanation?
→If an ac main supply is given to be $220 V$. What would be the average e.m.f. during a positive half cycle.....$V$
→The r.m.s. speed of gas molecules is given by
If the mass of a particle as well as its speed are doubled, then de-Broglie wavelength associated with the particle will;
In the absence of other conductors, the surface charge density
$A$ small object is attached to a light string which passes through a hollow tube. The tube is held by one hand and the string by the other. The object is stet into rotation in a circle of radius $r_1$. The string is then pulled down, shortening the radius of the circle to $r_2$. The ratio of the new kinetic energy to original kinetic energy is
→The electric field between the two spheres of a charged spherical condenser
In $LR$ circuit the current increases to one fourth of its maximum value in $4\,sec$, then the time constant of the circuit is
→