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mathop {lim }limits_{n o infty } left[ {frac{1}{n} + frac{1}{{n + 1}} + frac{1}{{n + 2}} + ....... + frac{1}{{3n}}} ight] = a) 0 b) {log _e}4 c) {log _e}3 d) {log _e}2 ...

The angle of elevation of the sun, when the shadow of the pole is 3 times the height of the pole, is? ...

What is the GERL system. Could someone please suggest a site on which i can find lots of info about it? Thanks in advance. ...

tan-1(tan 7) = a:7-2Î b:2Î -7 c:7 Please give the reason behind the answer. ...

Condenser A has a capacity of 15 when it is filled with a medium of dielectric constant 15. Another condenser B has a capacity 1 with air between the plates. Both are charged separately by a battery of 100V. After charging, b ...

why does potential drop across a capacitor????? ...

Determine the capacitance of a system consisting of a metal ball of radius a and an infinite conducting plane separated from the centre of the ball by the distance b if b>>a. ...

In the Vedas of class IX, i has been said that light saturation occurs at 10% of the full sunlight. But in the Chakravyuh test analysis, it is said that the percentage of light energy fixed in photosynthesis is generally arou ...

I am doing a project on the GERL system. what are the various subtopics on which I should write? ...

These words follow a logical progression: ACE TAB COG ADD EAR RAF GUT UGH IVY TAJ Which of these could be next? KID - BOY - ASK - TOO ...

______ begins when the chromosomes arrive at the spindle poles. a) Prophase b) Metaphase c) Anaphase d) Telophase ...

A particle is projected with velocity 2√(gh) so that it just clears two walls of height h which are at a distance of 2h apart from each other. Prove that the time of passing between the two walls is 2√(h/g). ...

If two vegetative fungal cells fuse, it is a) parthenogenesis b) somatogamy c) spermatisation d) plasmogamy ...

the positive values of a for which the equation [x+a]=sin(Ï€x/2) will have no solution is,where [.] denotes greatest integer function- a) (0,1); b)(1,2);c) (0,2);d) NOT. ...

I am stuck up with another question. During ice-skating,why are no tracks left behind after the skier passes? Anyone care to help me out? Thanks in advance. I need it urgently,as my exam is on Tuesday. ...

Two objects of masses 1 x 10-3 kg and 4 x 10-3 kg have equal momentum. What is the ratio of their kinetic energies? a) 4:1 b) 2:1 c) 16:1 d) √2:1 ...

A chemical change a) changes matter from one form to another. b) destroys matter. c) creates matter. d) does not change matter in any way. ...

The angles of a quadrilateral are in A.P. and the greatest angle is 120o, the angles in radians are ...

1)If sin-1x + tan -1x = , then 2x2 + 1= 2)2 sin -1x = cos-1 (1 -2x2) is true for a. -1<=x<=1 b.-1<=x<=0 c.0<=x<=1 d.None of these 3)7)If sin-1x+sin-1y=2pi/3, cos-1x–cos-1y=pi/3, the number of ordered pairs ...

An electric dipole is placed in an electric field generated by a point charge a) The net electric force on the dipole must be zero b) The net electric force on the dipole may be zero c) The torque on the dipole due to the fie ...

Chromosomes are made up of a) DNA b) Protein c) DNA and protein d) DNA and RNA ...

Which of the following statements is true regarding BeCl2, MgCl2, BaCl2 and CaCl2? a) Covalent character increases with the increase in atomic number of the metal. b) The melting point is lowest for BeCl2 and highest for BaCl ...

If the sum of the first n terms of a series be 5{n^2} + 2n, then its second term is a) 7 b) 17 c) 24 d) 42 ...

(A) ∫1/ cos6(x) + sin6(x) (B) ...

The capacity of a parallel plate condenser is . If a dielectric of relative permitivity and thickness equal to one fourth the plate separation is placed between the plates, then its capacity becomes C. The value of will be a) ...

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(a) )\int 1/COS^{6}(x)) + SIN^{6}(X)) ...

The graph between the displacement x and time t for a particle moving in a straight line is shown in figure. During the interval OA, AB, BC and CD, the acceleration of the particle is *Image* a) (+, 0, +, +) b) (-, 0, +, 0) c ...

Specify the coordination geometry around and hybridisation of N and B atoms in a 1:1 complex of BF3 and NH3 a)N :tetrahedral,sp3 ,B :tethedral,sp3 b)N :pyramidal,sp3 , B :pyramidal,sp3 c)N :pyramidal,sp3, B :planar,sp2 d)N :p ...

Among the following structures, which is not a permissible resonance? *Image* *Image* *Image* 4.None of these ...