If coefficient of `a^2 b^3 c^4 in(a+b+c)^m` (where `n in N`) is `L(L != 0),` then in same expansion coefficient of `a^4b^4c^1` will be (A) `L` (B) `L/3` (C) `(mL)/4` (D) `L/2`

If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms respectively in the binomial expansion of (1+x)^n, then prove that a/(a+b) + c/(c+d) = 2b/(b+c)

If L, M and N are natural number, then value of LM=M+N= ? (A) L+N=8+M (B) M^(2)=(N^(2))/(L+1) (C) M=L+2

In a multi - electron atom , which of the following orbitals described by the three quantum numbers will have the same energy in the absence of magnetic and electric fields ? (A) n=l, l=0,m=0 (B) n = 2, l =0 , m= 0 (C) n = 2 , l = 1 , m = 1 (D) n = 3, l =2 , m=1 (E) n=3,l=2,m=0.

L=lim_(x->0) (3 lambda x+(lambda-2) sinx)/(sin^(-1)x)^3 If L is the finite, then which of the following is/are true- A)lambda =1/2 B) L=1/4 C) L=-1/4 D) lambda=0

How many electron states are in these subshells: (a) n=4,l=3 , (b) n=3,l=2, (c ) n=4,l=1, (d) n=2,l=0 ?

If the vectors vec a, vec b, vec c are non-coplanar and l,m,n are distinct real numbers, then [(l vec a + m vec b + n vec c) (l vec b + m vec c + n vec a) (l vec c + m vec a + n vec b)] = 0, implies (A) lm+mn+nl = 0 (B) l+m+n = 0 (C) l^2 + m^2 + n^2 = 0