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A rope ladder with a length L carrying a man of mass m at its end is attached to the basket of a balloon with a mass M. The entire system is in equilibrium in the air. Find the work the man should do to climb into the basket. ...

Show taht 1+\frac {2n}{3} + \frac {2n(2n+2)}{3.6}+\frac {2n(2n+2)(2n+4)}{3.6.9}+... \infty=3^n and 2^n[1+\frac {n}{3} + \frac {n(n+1)}{3.6}+\frac {n(n+1)(n+2)}{3.6.9}+... \infty]=3^n ...

Two straight lines cut the axis of x at distances a and -a and the axis of y at distances b and b° respectively; find the coordinates of their point of intersection. Ans:- { a(b-b°)/(b+b°) , 2bb°/(b+b°) } From: S.L.Loney ...

1.Find the remainder when 2710 +751 is divided by 10. PLEASE TELL ME THE GENERAL METHOD TO THIS SUM 2.determine constant term in expansion ok (1+ x + (1/x)2 + (1/x)3)10 ...

The reaction of 1-bromo-3-chlorocyclobutane with 2 eq of metallic Na (i) in ether (ii) in dioxane gives ____________ ?? ...

1....is BeF2 IONIC OR COVALENT??????? ...

Q1 let A be set of digit nos. a1a2a3a4 where a1>a2>a3>a4,then n(A) = ???????? Q2 All possible 2 factor products are formed form nos. 1,2,3...200.The number of factors of hte total obtained which are multiple of 5 ?? ...

im gonna keep posting some good problems in mechanics from now on. u wudnt find these problems to be really fundu. level or or sumthing, but wud still find it conceptual enuff.some rules u have to follow while doing this will ...

find no. of distinct rational nos. x such that 0<x<1 and x=p/q where p,qε {1,2..6} ...

f(x)=x^2+bx+c. If f(x) assumes only interger values for all integer x then : a)b must be integer but c may not be. b)c must be integer but b may not be. c)b+c must be integer. d)None of these. ...

let A={1,2....n}.If X denotes subsets of A containing exactly 3 elements,then find \sum_{p\in X}{min(P)} ...

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If r, s, t are prime numbers and p, q are the positive integers such that the LCM of p, q is r2 t4s2, then the number of ordered pair (p, q) is (a) 252 (b) 254 (c) 225 (d) 224 ...

this q was in one of the tests on the site A ball hits a plank lying on the ground (ball's velocity at the time of hitting the plank is 10i+10j). The coefficient of friction is between the ball and the plank is 0.5. There is ...

do we have non integral index in ur sylbaus n also -ve index FOT IIT JEE.......... ...

two ships are 10 km apart on a line from north to south. the one farther north is moving towards west at 40 km/hr and the other is moving towards north at 40 km/hr. what ios their closest approach and how long do they take to ...

WELCOME all tiitians this thread is open to all good Qs on Vectors & 3D & discussions on them PLZ dont post qs out of IIT JEE's level ...

find the value of *Image* ...

Eleven scientists are working on a secret research project of ISRO. They wish to lock up all the documents regarding the project in a cabinet such that the cabinet can be opened if and only if atleast six of these scientists ...

liquid ammonia ionizes to a slight extent. at -50 degree Celsius its ionization constant is K(NH3 )= [NH4+][NH2-]=10-30. how many amide ions are present per cm3of pure liquid ammonia??? ...

Prove that for every real number x, [x]+[x+1/n]+[x+2/n]+.........[x+(n-1)/n] = [nx] [x]+[x+\frac{1}{n}]+[x+\frac{2}{n}]+...+[x+\frac{n-1}{n}]=[nx] Where [] denotes greatest integer function Because no one has been able to sol ...

I live in remote area and have only resonance study material .can any one provide me with some test papers and notes at karanmehtaforu@yahoo.com plz plz thanks in advance ...

Got this one from goiit.. (Nice that i went there and browsed a couple of posts :) 21 = x^y + y^x Find the values of x and y . (Restrict to the integral solutions only) Discuss the other cases too... ...

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In how many ways can you color a cube with a) one color b) two colors c) three colors d) 4 colors e) 5 colors f) 6 colors Each of them is easy ... just needs a bit of thinking :) ...

a disc of mass m=1kg and radius r=1m is hanging from the roof with a light rod of length l=2m as shown in the figure.the disc can rotate freely about hinge point C and the rod can rotate freely about hinge point O . at the gi ...

A wheel of a truck moving with velocity 5m/s throws up mud particles from its rim. The wheel's diameter is 3m. Find the maximum height from ground to which a particle can reach. (wheel does not slide on road) ...

If m and n are any 2 odd positive integers with n<m then largest positive integer which divides all numbers of the form (m2-n2).(my ans is cumin 4 but it is given 8). ...

Can anyone give me the link for "Mechanics for entertainment" By "Yakov Perelman" ? Some nice sites to download free and good e-books pls! ...

Find the number of rectangles excluding squares from a rectangle of size 9 X 6.. ...