The electron in a hydrogen atom makes a transition from M shell to L-shell. The ratio of magnitude of initial to final acceleration of the electron is
A. `9:4`
B. `81:16`
C. `4:9`
D. `16:81`
Correct Answer - D
`a=omega^(2)r`
As `" " omegaprop(1)/(n^(3))" " and " : r propn^(2)`
`" "aprop(1)/(n^(4))`
`rArr" " (a_(M))/(a_(L))=((2)/(3))^(4)=(16)/(81)`
Correct Answer - C
If `L_(beta) and M_(alpha)` have a common outer shell, in X-rays spectrum transition of an electron from an outer shell to inner shell gives a characteristics X-rays...
Correct Answer - B
In a hydrogen atom the time period is given by `Tpropn^(3)`
`(T_(1))/(T_(2))=((n_(1))/(n_(2)))^(3)rArr(8)/(1) ((n_(1))/(n_(3)))^(3)rArr(n_1)/(n_(2))=(2)/(1)` ltbnrgt Thus, the values must be `n_(1)=4 and n_(2)=2`
Correct Answer - C
`a=(v^(2))/(r) or a prop ((Z)^(2))/((1//Z))`
`" " aprop Z^(3)`
For singly ionised helium atom, Z=2
and doubly ionised lithium atom Z=3
`rArr" " (a_(He))/(a_(Li))=((2)^(3))/((3)^(3))=(8)/(27)`
Correct Answer - D
The ground state of hydrogen (n=1) is represented by K, the first excited state (n=2) is represented by L,the second excited state (n=3) is represent byb...
Correct Answer - A
Here, `E=-13.6eV=-13.6xx1.6xx10^(-19)=-2.2xx10^(-18)J`
`E=(-e^2)/(8piepsilon_0r)`
`therefore` As orbital radius,
`r=(-e^2)/(8piepsilon_0E)=(9xx10^(9)xx(1.6xx10^(-19))^2)/(2xx(2.2xx10^(-18)))=5.3xx10^(-11)m`.
