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Q. Consider a long, straight wire of cross-sectional area A carrying a current i. Let there be n free electrons per unit volume. An observer places himself on a troley moving in a direction opposite to the current with a spee ...

If 5 AM's are inserted between 4 & 15 & the value of 3rd arithmetic mean be β then find value of \beta (\sum_{1\leq i}{\sum_{<j<k}{\sum_{ \leq 8}{a}}}+\sum_{i=1}^{8}{\sum_{j=1}^{8}{a}}) here a=4 ...

If x and y are integers such that (x+2y)2 + (x+4y) = 710 The value of x is (A) 13 (B) 15 (C) 18 (D) 26 ...

*Image* A loop of radius a and resistance R uniformly distributed over it is placed perpendicular to a magnetic field B as shown. A rod AB of negligible resistance starts rotating with angular speed w. At t=0, theta = 0. A co ...

Sir, Can you some how collect all the papers from these students scan it and keep it in pdf format for download for all this would be easy as the site has not proper uploading optionas and students can upload papers the uploa ...

Q.) A point charge q = 1C is placed at a distance 10 metres from the center of a neutral conductor. What is the potential on the surface of the conductor ? Give proper explanations ! ...

how to find potential due to half figures(hemisphere, half shell etc) and also electric field , using known results for the full figures?? like in case of hemisphere do we simply reduce mass to m/2?? ...

T1 is the time period of simple pendulum.The point of suspension moves vertically upwards according to y=kt2,where k=1m/s2.New time period is T2,then T21/T22 = A. 4/5 B. 6/5 C. 5/6 D. 1 ...

if a+b+c=1.................find max value of a^{a}b^{b}c^{c} + a^{b}b^{c}c^{a} + a^{c}b^{a}c^{b} / ...

Prophet sir had recently taught a method to deal with recursive functional relations i have doubt regarding that : this thread was solved long back using substitution technique http://targetiit.com/iit-jee-forum/posts/full-th ...

(1) Let ABC be a triangle with AB =3, BC =4 and CA =5. A Line L,which is perpendicular to AC,Intersects AC in Q and AB in P.Suppose there is a Circle inside the Quadrilateral PBCQ touching all its four sides (i.e, PBCQ has an ...

Q) There is a uniform solid sphere with charge density 'd' and radius 'R'. Now some part of the solid sphere is removed from it. The removed portion is also a sphere of radius 'R/2'. Thus we are left with a solid sphere and a ...

Which statements are correct ? (a) H2 at 25°C in a volume of 50L has the higher energy per mol of substance than H2 at 25°C in a volume of 10 L . (b) O2 at 25°C and 1 atm has the higher energy per mol of substance than O2 ...

These are some easy ones on limit... Please explain them and help me finish limits. Q1) \lim_{x\rightarrow 0} \frac{e-(1+x)^{1/x}}{tan x} Q2) \lim_{x\rightarrow 0} \left(\frac{(1+x)^{1/x}}{e} \right)^{1/x} Q3) {P{n}}= \frac{2 ...

Q.1) \lim_{x\rightarrow 0}(\left[f(x) \right]+x^2)^1^/^\left\{f(x) \right\} , where f(x) = (tanx/x) and \left\{f(x) \right\} denotes fractional part of f(x) and [f(x)] denotes the greatest integer function of f(x). is equal t ...

if arg (z^{3/8})=\frac{1}{2}arg(z^{2}+\bar{z}\sqrt{z}) find \left|z \right| btw its my doubt ...

Please read the paragraph carefully and answer the following questions with proper explanations. A student was investigating the speed of reaction between limestone granules and different concentrations of hydrochloric acid. ...

1) In LCR circuit , if (1/LC)<(R^2/4L^2) , the circuit would be : a) oscillatory b) dead beat c) critically damped d) none of these 2) A circuit has an inductance 10 mH, capacitance 0.1 \mu F and resistance 1 K \Omega s. I ...

This one appeared in one of the Russian Olympiads. Find the final five digits of the number N = 999...9 that contains 1001 nines positioned as above. ...

i was going thru irodov and it struck me most o the problems i cant solve is coz i dont hv a sufficient mathematical base like the famous sum of cats and dog http://targetiit.com/iit-jee-forum/posts/cats-n-dogs-problem-12941. ...

find the no of +ve integral solns (x,y,z) such that x+y+z=24 x2+y2+z2=210 xyz=440 ...

Few quaries , trying to do them myself ---- would be glad to get help ---- 1 > The cubic equation , x3 + px2 + qx + r = 0 has two roots “ a “ and “ b “ such that ab + 1 = 0 . Prove that r ( r + a+ b + p ) = 0 . ...

These have been taken from the site lamar.edu Algebra Cheat Sheet - [url=http://tutorial.math.lamar.edu/pdf/Algebra_Cheat_Sheet.pdf][pdf][/url] - This is as many common algebra facts, properties, formulas, and functions that ...

What is the number of ways to tile a 9x3 floor using 3x1 tiles ? (This requires recursion) I am explaining the question a bit more elaborately with some examples.. because you may not have understood tiling... :) The example ...

Here is a good enough test for all maths lovers , and I really liked the question patterns , so I am uploading some of them ---- A few are very confusing , so please help in solving those ---- 1 > Find the sum of the follo ...

Question. TRUE/FALSE The chlorination of *Image* yields 2,2-chloro propane as major product. answer- false EXPLAIN HOW??? ...

the pH of a solution is 0.1 M NaA and 0.1M HA ( Ka = 1 x 10^-6) would be : a)5 b)6 c) 3 d) 7 detailed answer shall be appreciated ....... ...

*Image* my actual doubt : do we hav dese above mentioned name reacns in JEE syllabus ??? ...

there is a set A of n elements. now a subset B is formed from A the set A is then reconstructed by replacing elements of B now a subset C is formed from A find the number of ways of selecting B and C so that B and C are non i ...

Point A moves uniformly with velocity 'v' so that the vector 'v' is continually "aimed" at point B which in its turn moves rectilinearly and uniformly with velocity u<v. At the initial moment of time v perpendicular to u a ...