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Q1. A cylindrical container of an incompressible liquid with density ρ rotates with constant angular speed ω about its axis of symmetry, which we take to be the y-axis. (a) Show that the pressure at a given height within th ...

i am a student of ISC board. i am also an aspirant of IIT. i am in a dillema whether to study ncert syllabus or simply isc syllabus will do. plz help. THANK YOU ...

a,b,c are positive reals such that abc=1 prove *Image* ...

Let k and n be positive integers and put Sk=Σnk (n varies from 1 to n. show that m+1C1S1+m+1C2S2...............+m+1CmSm=(n+1)m+1-(n+1) ...

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If each orbital can hold maximum of 3 electrons,then find the number of elements in fourth period of periodic table ...

A triangle is inscribed in a circle of radius 1.The distance between orthocentre and circumcircle cannot be a)1 b)2 c)3/2 d)4 ...

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*Image* in a uniform sphere of charge density P ,a small cavity is created.the center of the cavity is at a distance "a" from the center of the sphere. taking center of the sphere as origin and a^ as a unit vector along the l ...

True /false When a body is coonencted to earth all the charge flows to eart and it becomes electrically neutral.. ans is true.. but all the charge doesnt necesarily flow acc to me.. am i rite or wrong...tell me... ...

in an experiment performed by X and Y for measurement of optical activity . X found it was d form with +30 rotation Y found it was l form with -150 rotation How can the dispute be solved ?? its not my doubt ..[1] ...

find the eqn of circle with centre (2,1) and passing through point (4,0) ...

Ques1) Show that the value of ∫ [(1 - cot n-2 x) / (tanx + cotx .cot n-2 x ) ]dx is equals to (1/n) log | sin n x + cos n x| + c. Ques2) If I1 =∫ sin -1 x dx and I 2 = ∫ sin -1 1-x 2 dx then show that I 1 +I 2 = pie x / ...

*Image* 1)In the figure, the wedge is acted on by a constant horizontal force F. The wedge is moving on a smooth horizontal surface. A ball of mass m is at rest relative to the wedge. Show that the ratio of the force exerted ...

Q1. \int (cos2\theta )^3^/^2cos\theta d\theta Q2. \int \frac{cos8x-cos7x}{1+2cos5x}dx ...

If f(x+y)=f(x)+f(y) where x,yε R and ∫(0 to 1) f(x).dx=1 find f(1) ...

what is the reduction formula for ∫ 1/1+x^n ...

let ABC be a triangle with AB=AC=6. If the circumradius of the triangle equals 6, then BC equals: (a)25/3 (b)9 (c)48/5 (d)10 this is a sample question on the kvpy website. ...

f(x+y)=f(x)+f(y) where x,yεR Prove thta nf(x-\frac{a}{n})+f(a) is an odd functionm wheere nεI-{0} I am also givng ma soln...plz continue and finsh it off... nf(x-a/n)=+f(a) =>nf(x)-nf(a/n)+f(a) =>nf(x)-n(f(a/n)-1/nf(a ...

Why is boric acid a weak acid? ...

Explanation reqd for the following statements: 1)"It is due to the absence of the d-orbital that the maximum covanlce of Boron is 4" 2)"Borax(Na2B4O7.10H2O)is said to contain the tetranuclear units[B4O5(OH)4]2- and correct fo ...

If a+b+c=0 and a,b,c are real, then prove that the eqn (b-x)2 - 4 (a-x)(c-x) = 0 has real roots and the roots will not be equal unless a=b=c. ...

*Image* Ques) A smooth block of mass m is held stationary wedge of mass M and inclination theta. If the system is released from rest,will the normal reacn b/w wedge and block be less or greater than mgcos theta???? From my po ...

Wen we r goin 2 get the next set of study kit?????? ...

1) Provide the products of the reaction of the substrate ClCH2OCH2CH3 with NaNO2 in EtOH. Also pls explain the logic behind the formation of the products. 2)Pls draw the structures of the following compounds for me. (i)cyclop ...

Ques1) Prove that the sum of 1 st n odd natural numbers is n2 and hence or otherwise prove that the sum of next 'n' odd natural numbers is divisible by 3. Ques2) Show that the sum of 2/3 + 8/9 + 26/27 + 80/81 + .............u ...

Q. How can the polarisation of 'acrolein' be written ? CH2=CH -CH=O ( here the middle dash is the single bond ) ...

If area bounded by y=logx,y=x ,x2+y2+2xy-k2=0 is a square units,then calculate area bounded by y=ex,y=logx ,x2+y2+2xy-k2=0 . ...

In he figure, 2 identical particles each of mass m (the black dots) are tied together with an inextensible string. This is pulled at its centre with a constant force F. If the whole system lies on a smooth horizontal plane, t ...

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