In hydrogen atom, an electron jumps from bigger orbit to smaller orbit, so that radius of smaller orbit is one-fourth of radius of bigger orbit. If speed of electron in bigger orbit was v,then speed in smaller orbit is
A
`v/4`
B
`v/2`
C
`v`
D
`2v`
Text Solution
Verified by Experts
The correct Answer is:
D
Radius of nth orbit,`r_(n)propto n^(2)` `(r_("n big"))/r_("n small")=(n^(2)big)/("n^(2)small)=4/1 ` (given) Rightarrow`n_(big)/n_(small)=2` Rightarrow`n_(small)/n_(big)=1/2` Velocity of electron in nth orbit `v_(n)propto1/n` `v_"(n big)"/(v_"(n small)" )=(n_(small))/n_(big)=1/2` Rightarrow`V_"n small"=2(v_"n big")=2v`
Topper's Solved these Questions
ATOMIC STRUCTURE
BITSAT GUIDE|Exercise BITSAT Archives|4 Videos
ALTERNATING CURRENT AND EM WAVE
BITSAT GUIDE|Exercise BITSAT Archives|15 Videos
CATHODE RAY, PHOTOELECTRIC EFFECT AND X-RAYS
BITSAT GUIDE|Exercise BITSAT Archives|6 Videos
Similar Questions
Explore conceptually related problems
In a hydrogen atom, an electron jumps from third orbit to the orbit. Find out the spectral line.
If an electron jumps from 1 st orbital to 3 rd orbital, than it will.
when an electron jumps from the fourth orbit to the second orbit, one gets the
In Bohr's theory of hydrogen atom, the electron jumps from higher orbit n to lower orbit p. The wavelength will be minimum for the transition
Whenever an electron jumps from outer stationary orbit to inner stationary orbit then a
The angular speed of electron in the nth orbit of hydrogen atom is
The speed of an electron, in the orbit of a H-atom, in the ground state is
In a Hydrogen, electron jumps from fourth orbit to second orbit. The wave number of the radiations emitted by electron is
The speed of an electron in the orbit of hydrogen atom in the ground state is
