The ratio between acceleration of the electron in singly ionised helium atom and doubly ionised lithium atom (both in ground state ) is
A. `(4)/(9)`
B. `(27)/(8)`
C. `(8)/(27)`
D. `(9)/(4)`
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
`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 - 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
In the ground state of hydrogen atom, suppose, `a_0=` bohr radius
`v_0=` velocity of electron in first orbit
`therefore` time taken by electron to complete one revolution,...
Correct Answer - D
Here, `r_1=5.30xx10^(-11)m,v_1=2.2xx10^6ms^(-1)`
In the second excited state, `r_n=n^2r_1,v_n=(v_1)/(n)`
`therefore r_2=4r_1=4xx5.30xx10^(-11)m=2.12xx10^(-10)m` and `v_2=(v_1)/(2)=(2.2xx10^(6))/(2)ms^(-1)=1.1xx10^(6)ms^(-1)`
Correct Answer - B
`E_(1) = (hc)/(lambda) [(1)/(n_(1)^(2)) - (1)/(n_(2)^(2))]`
For second excited state to first excited state
`E_(1) = (hc)/(lambda) [1/4 - 1/9] rArr (hc)/(lambda) ((5)/(36))`
For first excited state...