-
*Image* *Image* *Image* ...
-
*Image* *Image* *Image* ...
-
1) Equimolar quantities of each of the following substances are dissolved in enough water to make 1 L of solution. Arrange the solution so prepared in order of increasing pH. (a) KHSO4 (b) NaHCO3 (c) Na2O (d) HClO4 (e) CH3 NH ...
-
1) A flat square sheet of charge of side 50 cm carries a uniform surface charge density. An electron 0.5 cm from a point near the centre of the sheet experiences a force of 1.8 X 10 - 12 N, directed away from the sheet. Deter ...
-
2) Given a subset X = {x1 , x2 , x3, ..............., x n } a subset P of X is formed and set is reconstructed by replacing the elements of P into X and then another subset Q of X is formed. Find the total no. of pair of subs ...
-
1) Ina plane there are two families of lines Y = x + r, Y = -x + r , where r belongs to {0,1,2,3,4}. The number of squares of diagonols of length 2 formed by the lines is :- (a) 9 (b) 16 (c) 25 (d) None of these ...
-
1) An Alcohol , on oxidation produces a ketone with the same number of carbon atoms. When the Ketones is oxidized, it yields am acid with a fewer no. of carbon atoms. The alcohol could be:- (a) Primary alcohol (b) Secondary a ...
-
*Image* In the given figure, u have the road plan of a city. A man standing at X wants to reach the cinema hall at Y by the shortest path. (i) Find the no. of different paths that he can take. (ii) Find the no. of shortest ro ...
-
A man invites a party to (m+n) friends to dinner and places m at one round table and n at other.Find the no. of ways of arranging the guests . ...
-
I know this is an easy one, but don't know why I am not getting the right answer. The extremeties of a diagnol of rectangle are (-4,4) and (6,-1). A circle circumscribes the rectangle and cuts an intercept AB on the y-axis. T ...
-
*Image* This reaction sequence can start with a :- (a) 1° alcohol (b) 2 ° alcohol (c) 3° alcohol (d) Phenol ...
-
The OH group of methyl alcohol cannot be replaced by chlorine by the action of (a) Cl 2 (b) H Cl (c)P Cl 3 (d) P Cl 5 ...
-
1) The dissociation const of monobasic acids A,B,C and D are 6 X 10 -4, 5 X10 -5 , 3.6 X 10 -6 and 7 X10 - 10 respectively. pH values of their 0.1 molar aqueous solution are in the order (a) A >B> C >D (b) D>B> ...
-
1) Area bounded by the curves y 2 (2a-x) = x3 and the line x=2a is (a) 3∩a2 (b) 3∩a2 / 2 (c)3∩a2/4 (d) none of these 2)Area included between the parabola Y = x2 / 4a and the which of the Agnesi Y = 8a3/x2 + 4a2 is (a) a ...
-
1) The no. of points at which the function f(x) = max {a-x , a+x, b}, - ∞ < x < ∞ , 0 <a < b cannot be differentiable is: (a)2 (b) 3 (c)1 (d) 0 2) If f(x) = sin (2∩ [ ∩2 - x] )/5 +[x] 2 ; where [.] denotes ...
-
*Image* dx is { where [.] denotes the greatest integer fnction} : (a) 1000 (b) 0 (c) 1/500 (d)none of these ...
-
*Image* A sphere of mass m held at a height 2R b/w a wedge of same mass m and a rigid wall, is released from rest. Assuming that all the surfaces are frictionless. Find the speed of both the bodies when the sphere hits the gr ...
-
1) If f(x) is continous for allx belonging to R and range of f(x) is (2, √26) and g(x) = [ f(x) / a ] is continous for all x belonging to R (where [.] denotes the greatest integral function). Then the least posiitve integra ...
-
If the eqn ax2+bx+c=0 (0 < a < b< c) has non real complex roots z1 and z2. Show that |z1| > 1 ; |z2| > 1. ...
-
1) The benzyl cation in C6H5CH=CH-COOH is:- (a) Linearly placed w.r.t benzene ring and carboxyl group (b) Triangular shaped (c) Tetrahedral in shape (d) At 90 ° to the plane of benzene ring 2) The dipole moment of vinyl chlo ...
-
1) Which of the following resonating structures of 1- Methoxy -1,3 -butadiene is least stable (a) H2C - - CH=CH - CH =O + - CH3 (b) H2C = CH2 - - CH2 - CH = O + CH3 (c) H2C - - + CH - CH = CH - O - CH3 (d) H2C = CH - - CH - + ...
-
1) Solve *Image* 2) Solve *Image* ...
-
Evaluate the following:- 1) *Image* 2) *Image* ...
-
A point charge q is placed at origin. Calculate the electric flux through the open hemispherical surface : (x-a) 2 + y2 +z 2 = a 2 , x ≥ a. ...
-
1) Express the complex number 1 / [1 - (cos θ + i sin θ )] in the cartesian form. 2) Prove that [(1 + cos θ + i sin θ) / (1+cos θ)] n = cos n θ + i sin n θ. 3)(a)If c2+s2=1 ,then evaluate (1 + c + i s) / (1+c- i s) (b) ...
-
Ques1) *Image* An infinite wire having charge denisty λ passes through one edge of the cube having edge length ' l ' .The wire is just inside the cube. Find the (a)Total flux passin through the cube. (b) Flux passing through ...
-
Ques1) The value of lim x→0 { cos (m2+n2) x } mn / (m2+n2)x (a) e mn (m2+n2) (b) e- mn (m2+n2) (c) e- mn/2 (m2+n2) (d) e mn/2 (m2+n2) Ques2) lim x→0 [sin -1 x / tan -1 x ] , whre [.] denotes the greates integer function ( ...
-
1) Of the charge Q on a tiny sphere, a fraction @ is to be transferred to a second , nearby sphere. The spheres can be treated as a particle. What value of @ maximizes the mag F of the electrostatic force b/w the two spheres? ...
-
1) If f(x) = lim n→ ∞ n ( (x) 1/n -1 ) for x>0, y>0 , then show that f(xy) = f(x) + f(y) 2) Solve lim x→0 [1+log cos 2 x/2 cosx] 2 ...
-
Plzzzz someone explain me how to plot the graphs for two particle charges for the variation of electric field / potential v/s x or y coordiante. Plzzz explain carefully with certain examples. ...
