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A particle of mass 2m is projected at an angle of 45 wrt horizontal wid a velocity of 20 2 m /s .After 1 s explosion takes place and the particle is pbroken into two equal pieces .As a result of this one part comes to rest.Fi ...

inorganic is mostly about memorizing things i'm starting this thread so that some tricks for remembering things can be put up everyone is welcome to contribute ...

1) The eqn (cos p -1) x2 + (cosp)x + sinp =0, in the variable x ,has real roots. Then p can have any value in the interval (a) (0 , 2 pie) (b) (- pie, 0 ) (c) (- pie/2 , pie/2 ) (d) ( 0 ,pie) ...

Evaluate the integral: \int_0^1\dfrac{x-1}{\ln x}\ \mathrm dx ...

Four couples play chess together. For the match, they're paired as follows: ("man Clara" indicates the husband of Clara, etc.) Bea ≡ Eddy An≡ man Clara Freddy ≡woman Guy Debby ≡ man An Guy ≡ woman Eddy Who is Hubert ...

Given a cube in which you can put two massive spheres of radius 1. What's the smallest possible value of the side - length of the cube? Prove that your answer is the best possible. ...

Q1 If a≠b,then equation zz+az+bz+c=0 represents ? Q2 If a=b,c εR and lbl2>c ,then equation zz+az+bz+c=0 represents ? Q3 If a=b,c εR and lbl2<c ,then equation zz+az+bz+c=0 represents ? ...

give the necessary condition for a line y=mx + c to be normal to : 1)ellipse 2)parabola 3)hyperbola ...

hey guyys a nice sum.... plz try it outt if there r n points on a circle....no. of triangles that can be formed by joining them.....note:no three lines intersect at a point.....[the answer iss not nC3 u have to consider the s ...

1) Show that the soln set of eqns (x+1) 2 + [x-1] 2 = (x-1)2 + [x+1] 2 , where [x] and (x) are the gratest integer and nearest integer to x , is x belonging to I. 2) If P(x) = ax 2+bx+c and Q(x) = -ax 2+dx+c, where ac≠0, th ...

*Image* I suddenly encountered this inequality (While attempting another one [78] ), which seemingly seems true....(I mean I checked with a few values....) but i've not been able to prove it, as it is I do not even know wheth ...

Q-1 : A bodu weighs 8 gm when placed in one pan and 18 when placed on a other pan of a false balance . If the beam is horizontal when both the pans are empty , the true weight of the body is Q-2 : when one swims across a rive ...

f:R→R and g:R→R be two functions such that f(g(x)) is a one one function. then answer the following matrix match type questions: coloumn 1 coloumn 2 A) then f(x) p) must be one-one B) then g(x) q)may not be one -one C) if ...

what is the concept of instanteneous axis of rotation? how to use this concept in problems? ...

System shown in figure is in equilibrium. Find the magnitude of net change in the string tension between the 2 masses just after, when one of the springs is cut. Mass of both the blocks is same and equal to m and spring const ...

A catalyst decreases the activation energy of the rxn A→B (reversible) by 2%. ΔH = 37.02 Kcal. At 300 K, 4*10-8% molecules of B are able to cross over the potential energy barrier in absence of catalyst. How many times the ...

This will be torn apart, still it should help us recall some useful facts: Prove that: \sum_{cyc} \frac{(a+b)(a+c)}{(a-b)(a-c)} = 1 ...

If the length of the filament of the heater is reduced by 10 %, the power of the heater will (a)inc by abt 9 % (b) inc by abt 11 % (c) inc abt 19 % (d) dec abt by 10 % ...

1) A tap supplies water at 22°C . A man takes 1 litre per minute at 37°C from the geyser. Show that the power of the geyser is 1050W. 2) A servo stabilizer restricts voltage output to 220V±1 %. If an electric bulb 100W / 2 ...

Find \lim_{n\rightarrow \infty}{\frac{a^n}{n!}} I have this soln available with me.. *Image* plz provide a new shorter soln..or help me to understand this soln.. ...

one end of a light spring of natural length d & spring constant k(=mg/d) is fixed on a rigid support& the other end is fixed to a smooth ring of mass m which can slide without friction on a vertical rod fixed at a distance d ...

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IN THE QUESTION GIVEN BELOWWWWWWWWWWW are we supposed to neglect earth's mass??????? *Image* ...

Please solve these problems 1. (x-a)(x-a)(x-a) + (x-b)(x-b)(x-b) + (x-c)(x-c)(x-c) = 0 has A)All the roots real B)one real and two imaginary roots C)three real roots namely x=a,x=b,x=c D)None 2. a+b+c = 0, then the quadratic ...

The switch is closed at t=0. calculate p.d. across inductor 'ab' as a function of time. *Image* ...

*Image* Find the velocity of all the four spheres when the centre of the upper sphere is n x d distance from the ground ???? ...

*Image* A current I flows through a infinitely long metallic conductor of the shape of a half cut hollow cylinder of radius radius r. What is the magnetic field at the center of the "imaginary completed" cylinder? ...

RIDDLE: WHY DOES THE TOWER OF PISA LEAN? ...

with the help of neil bohr equation can we determine the velocity of electron at nth shelll ...

we see that always the weight in truck is kpet near the cabin on the loader y? ...