If `n^(2)-11n+24=0` is satisfied by `n_(1)&n_(2)` where `n_(2)gtn_(1)` then

If electrons in H-likes species jump, from n_(3) to n_(1) emitting photon of wavelength lambda , from n_(3) to intermediate orbit n_(2)[n_(3)gtn_(2)gtn_(1)] emits photon with wavelength lambda_(1) & from n_(2) to n_(1) emits photon with wavelength lambda_(2) then correct option is :

Find the integral solution for n_(1)n_(2)=2n_(1)-n_(2), " where " n_(1),n_(2) in "integer" .

In case of hydrogen spectrum wave number is given by barv=R_(H)[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))] where n_(1)gtn_(2) {:(,"ColumnI",,"ColumnII"),((A),"Lyman series",(P),n_(2)=2),((B),"Balmer series",(Q),n_(2)=3),((C),"Pfund series",(R),n_(2)=6),((D),"Brackett series",(S),n_(2)=5):}

If 2tan^2x-5secx=1 is satisfied by exactly seven distinct values of x in [0,((2n+1)pi)/2],n in N , then the greatest value of n is________.

If S_(n) = (.^(n)C_(0))^(2) + (.^(n)C_(1))^(2) + (.^(n)C_(n))^(n) , then maximum value of [(S_(n+1))/(S_(n))] is "_____" . (where [*] denotes the greatest integer function)

If total number of runs secored is n matches is (n+1)/(4) (2^(n+1) -n-2) where n ge 1 , and the runs scored in the k^(th) match is given by k.2^(n+1 - k) , where 1 le k le n, n is

The sum S_(n) where T_(n) = (-1)^(n) (n^(2) + n +1)/( n!) is

If 2^(2010)=a_(n)10^(n)+a_(n-1)10^(n-1)+………..+a_(2)10^(2)+a_(1)*10+a_(0) , where a_(i) in {0, 1, 2, ………, 9} for all i=0,1, 2,3, …………, n , then n=

The least value of n (n in N) , such that the function f(n, x)=int n cos (nx) dx satisfies f(n, (pi)/(2))=-1 , is (given, f(n, 0)=0 )

Show that there is no complex number such that |z|le1/2 and z^(n)sin theta_(0)+z^(n-1)sintheta_(2)+....+zsintheta_(n-1)+ sintheta_(n)=2 where theta,theta_(1),theta_(2),……,theta_(n-1), theta_(n) are reals and n in Z^(+) .