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Let x be a real number, and let e > 0. Then there exist integers p and q > 0 such that |x-p/q| < e This might seem obvious! but try to prove this.. It is not very difficult either. ...

A car is parked among N cars standing in a row, but not at either end. On his return, the owner finds that exactly 'r' of the N places are still occupied. The probability that both the places neighbouring his car are empty is ...

Can a sail boat be propelled by air blown at the sails by a fan attached to a boat ? Why ? ...

Can a high jumper clear a height even if his CM does not clear the height ?? ...

In a head-on collision between 2 particles,is it necessary that the particles will acquire a common velocity for atleast 1 instance. Can the ans be mathematically derived ?? ...

If the total mechanical energy of a particle is 0,is its LM necessarily 0 ? Is it necessarily nonzero ?? I think is shud b necessarily 0. ...

Prove that for any complex number z, |z + 1| ≥1/√2 or |z2 + 1| ≥ 1. ...

x+10+6 3 = 1+ 3 -x find x ...

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let 'x' be positive non-square integers such that x1=2, x2=3, x3 = 5, x4=6 .. and so on... and we define <m> such that if the decimal part is <=0.5 we have <m> =m and if decimal part >0.5 , then <m>=m+ ...

Hey i was wondering if it is possible to add the smileyes we use at tiit to any site like facebook. Any idea anyone?[1][23] ...

A large solid sphere with a uniformly distributed positive charge has a smooth narrow tunnel through its centre. A small particle with negative charge, initially at rest far from the sphere, approaches it along the line of th ...

For heating of water from 1 degree to 4 degree 1. Cp > Cv 2. Cp = Cq 3. Cp < Cq 4. Cp >= Cq ...

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3.. A fish inside th e lake in the line of fall of the ball is looking at the ball. At an instant when the ball ...

Point-masses of mass m are at rest at the corners of a regular n-gon, as illustrated in the figure for n = 6. *Image* How does the system move if only gravitation acts between the bodies? How much time elapses before the bodi ...

if a non-metal is addes to the interstial sites of a metal then the matal becomes 1. softer 2. less tensile 3. less malleable 4. more tensile ...

A small bob of mass m attached to an elastic cord revolves in a horizontal frictionless table with n revolutions per second.If the unstretched length of the cord be "L" and the tension in the cord increases in direct proporti ...

if the fraction of total energy associated with pure rolling is A for a ring and B for a solid sphere....find A & B ...

f(x) = lim (n→ infinity) n( x1/n -1) , x>0 then f(xy) is a. f(x)f(y) b. f(x)+f(y) c. y f(x) + x f(y) d. N.O.T ...

1g sample commercial AgNO3 is dissolved in 50ml of water. It is treated with 50ml of KI solution. The silver iodide thus precipated is filtered off. Excess of KI in the filtrate is titrated with M/10 KIO3 solution in the pres ...

What should be the exact values of temperature and pressure at N.T.P. and S.T.P.? whether at S.T.P. temperature is 273K or 298K? ...

these are a few stunning questions.Try to solve these guys.Its really gives he brain a hard workout. 1) *Image* Consider the diagram above.The two small blocks are of equal masses 'm'.The coefficeient of friction between the ...

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A thin wire of radius r has an electric charge q. What will be the increment of the force stretching the wire if a point charge q0 is placed at the ring's centre ?? Pls explain the question 2.. ...

sin kx = kx for different values of k! ...

When a charged comb is brought near a small piece of paper,it attracts the piece . Does the paper become charged when the comb is brought near it ?? ...

Can two equipotential surfaces cut each other ?? Pls explain the question too..i didnt understand ...

q a rod oa rotates about a horizontal axis about o with a constant anticlockwise velocity w=3 radians per second. as it passes the position θ=0 a small block of mas m is placed on it at aradial distance of r=450mm if the blo ...

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d scale of a galvanometer requires of resistance 50Ω contins 25 divisions .on passing a current of 1 division .d resistance dat must b added to it so dat it may become a voltmeter of range 2.5V[ans-200Ω] d resistance of gal ...