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Evaluate the following:- 1) *Image* 2) *Image* ...
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The homogeneous semicylinder has of mass m and centre of gravity G. Determine the largest angle θ of the inclined plane upon which it rests so that it doesnot slip down the plane. The coefficient of the static friction betwe ...
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*Image* ...
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In a region the magnetic field is B=Bo(1+x/l). A square loop of side l through which a current i flows is placed in the region. What is the net magnetic force experienced by the loop ? ...
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Find the eqn. of line which is at unit distance from point (2,1) and it also passes through (2,3) ...
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a bicycle is moving with some accelaration on a road.the forces of friction between the road and front and the rear wheel are F1 and F2 respectively . their directions are ...
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There are 2 inclines..one having friction in its upper half..other having friction in its lower half..a sphere is rolled on both of them..where will it have more energy ?? ...
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*Image* infinite square brackets have been made by infinite wires .between each junction ,the resistance is r .find equivalent resistance between points A AND B ...
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Let x1,x2,x3...xn be roots of equation xn+xn-1+.....+x+1=0 Compute the expression \frac{1}{x_1 -1}+\frac{1}{x_2 -1}+\frac{1}{x_3 -1}...+\frac{1}{x_n -1} Hence prove that \sum_{r=1}^{n}{cot \frac {r\pi}{n+1}} ...
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Let P(x) be a polynomial with integral coefficients. Prove that we can never have P(a) = b and P(b) = c and P(c) = a where a,b and c are integers. ( bhatt sir , please stay away) ...
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Ques) Find / Evaluate *Image* ...
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*Image* ...
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two metal strips, each of length l are clamped parallel to each other on a horizontal floor with a separation b between them. A wire of mass m lies on them perpendicularly a s shown in the figure. A vertically upward magnetic ...
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ans q1 ...
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*Image* ...
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find the Domain and Range(of course give explanation) these are also last yrs question 1)f(x)=limn->∞cos(n! 2Πx) 2)g(x)=limn->∞cosn( 2Πx) 3)h(x)=limn->∞{cos(nx) + 2}1/n ...
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the dies alder reaction occurs primarily in an endo rather than exo fashion when the reaction is kinetically controlled.........................can anyone plz help me to identify the groups which are in endo o exo fashion ...
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Prove the following (a2<1) a) \int _{0} ^ { \pi } ln(1-2a \cos \theta +a^2) d \theta=\begin{Bmatrix} 0 & a<1\\ 2\pi lna & a>1 \end{Bmatrix} b) \int _{0} ^ { \pi } ln(1-2a \cos \theta +a^2)\cos n \theta d \theta= - \f ...
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A man begins running along a circular track at 10 km/hr . There is a source of light at the centre of the circle and a wall which is tangential to the point from which the man begins running. Find the speed of the man's shado ...
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Find the product of these numbers... (1-\frac{1}{2^2})(1-\frac{1}{3^2})(1-\frac{1}{5^2})(1-\frac{1}{7^2})(1-\frac{1}{11^2})... till infinity... Given that \frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\frac{1}{5^2}+ ...
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*Image* The system above in the diagram iis released. The mass of the black beads is m, while that of blue loop is M What is teh minimum m/M ratio needed for the lower loop to take off from the ground.. (A variation of this q ...
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What type of questions actually cum in iitjee. I want 2 ask which chapters should i give more importance? I am presently in class 11sc. ...
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A tree trunk in form of a cylinder of radius R lies on a horizontal field. A lazy grasshopper wants to jump over it. What minimum launching speed will suffice for it? Assume that the air resistance is negligible and that the ...
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Guys, provide here the easiest and shortest way to convert Chlorobenzene to phenol. Burning Desire answered this once.. but I'm still not able to understand the reason ...
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errr....just got confused...which one of these is correct?? sin(a) + sin(a+d) + sin(a+2d) + sin(a+3d) + ...... + sin(a+nd) = \frac{sin\left(\frac{2a+nd}{2}\right)sin\left(\frac{nd}{2} \right)}{sin\left(\frac{d}{2} \right)} OR ...
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*Image* ...
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The d-orbital participating in sp3d hybdn. is ??? Pls explain..... ...
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I changed the links yesterday to open on a new page for each click.... What is your feedback? do you think this is unnecessary? I will revert back to the original thing if most of you find it useless.... ...
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\Delta G=\Delta H -T\Delta S\ and \Delta \ G=\Delta H +T[\frac {d(\Delta G)}{dT}]_P then find (\frac {dE_{cell}}{dT})= ?? ...
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Two small particles of equal mass start moving in oppsotite directionds from a point A in a horizontal circular orbit. Their tangential velocities are v adn 2v respectively, as shown in the figure. Between collisions, the par ...