Assuming that Hund's rule is violated, the bond order and magnetic nature of the diatomic molecule B2 is
The largets value of non negative integer for which x→1limx+sin(x−1)−1(−ax+sin(x−1)+a]1−x}1−x1−x=41
Let Sbe the set of all non-zero real numbers such that the quadratic equation αx2−x+α=0has two distinct real roots x1andx2satisfying the inequality ∣x1−x2∣<1.Which of the following intervals is (are) a subset (s) of S?(21,51)b. (51,0)c. (0,51)d. (51,21)
If g(x)=∫sinxsin(2x)sin−1(t)dt,then: (a)gprime(2π)=−2π (b) gprime(−2π)=−2π (c)gprime(−2π)=2π (d) gprime(2π)=2π
A pack contains ncards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of het numbers on the removed cards is k,then k−20=____________.
The function f(x)=2∣x∣+∣x+2∣=∣∣x∣2∣−2∣x∣∣has a local minimum or a local maximum at x=−2 (b) −32 (c) 2 (d) 32
For each positive integer n, let yn=n1((n+1)(n+2)n+n˙)n1For x∈Rlet [x]be the greatest integer less than or equal to x. If (lim)n→∞yn=L, then the value of [L]is ______.
A box B1, contains 1 white ball, 3 red balls and 2 black balls. Another box B2, contains 2 white balls, 3 red balls and 4 black balls. A third box B3, contains 3 white balls, 4 red balls and 5 black balls.
Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover cards numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done isa.264 b. 265 c. 53 d. 67