Recent content by ukamle

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    The Lift Problem Puzzle: Why He Walked Up?

    Puzzle: A man leaves for his office and takes the lift from the 60th floor to the ground floor. When he returns back he takes the same lift to the 45th floor and then walks up to the 60th floor. Why? Points to remember: 1. He is not a health freak 2. He does not have any relatives or...
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    How Does a Dipole Affect the Electric Field Near a Neutral Metallic Sheet?

    here is a problem: if a dipole with charges +/- q is brought near a neutral metallic sheet then what is the electric field near the sheet?
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    Where Does Half of the Work Done by a Battery Go in a Capacitor Circuit?

    We know that energy stored in capacitor= \int \frac{q}{C} dq = \frac{q^2}{2C} = qV/2 But work done by battery = qV Where does the other qV/2 go ? Assume NO resistance in circuit The potential of the battery does not change with time
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    Solving Gauss's Law Problem for a Solid Cylinder

    another method You may also use the differential form of Gauss law for cylindrically radial field. It goes something like this: \frac{d(E.r)}{dr} = \frac{\rho r}{\epsilon_0} Make \rho as a function or r and integrate over proper limits.
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    Solving Gauss's Law Problem for a Solid Cylinder

    gauss law problem :frown: \mbox{i m sorry i forgot to divide by } \epsilon_0\mbox{. Divide the solutions by} \epsilon_0 \mbox{. I feel, that is the correct solution.}
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    Mathematica Can a King Outside a Square Stop a Pawn from Promotion on a Chessboard?

    There is a 64 square chessboard. A pawn is at some position on the checkboard. There are only two players on the checkboard: the pawn and king of opposing team. Imagine diagonals drawn from the pawn to the last rank on the chess board. Imagine a square formed by the ends of the diagonals. Prove...
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    Solving Gauss's Law Problem for a Solid Cylinder

    Solution to the Gauss law problem: Volume charge density= Ar a -> radius of cylinder For r > a Let the radius of cylindrical Gaussian surface be r E . 2. pi. r. l = integral {( 2*pi.A.l.r. dr / e0 ), 0 , a} [integral { (), ,} denotes-- () - integral funciton then the limits]...
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    Calculate Poisson's ratio of NaCl crystal

    hello to all here is a problem i designed myself. i don't know whether it can be solved. Question: Consider NaCl lattice of edge length 'x' m. Let Na+ carry +1 C and each Cl- carry -1 charge. Calculate Poisson's ratio of NaCl crystal. Assume no heat loss when deformation takes place...
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    What are Some Challenging Number Theory Problems?

    1) First solution submitted by gokul43201 is correct and is a direct consequence of prime factorization theorem. 2) I m sorry I forgot to mention that the number is not divisible by primes greater than certain prime say 5. According to factorization theorem every number can be...
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    What are Some Challenging Number Theory Problems?

    Questions: 1) How many zeros are there at the end of 1994! [where n ! stands for n factorial] 2) Prove that if x1, x2, ..., x100 are distinct natural odd numbers 1/x1 + 1/x2 + ... + 1/x100 < 2 3) Prove that if 'p' is a prime number then coefficients of the terms...
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    Unmesh Kamle: 17 Year Old Discussing Potential Wells and Supersymmetry

    My name is Unmesh Kamle. I have just passed high school and began reading about Potential wells and about electrons trapped inside them (from Resnick Halliday Krane). I m also reading about Supersymmetry. I m new member on this discussion forum. Could somebody reply to this message so that I can...
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