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Prove that n= 5125-1/525-1 is a composite number. ...
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*Image* WHAT IS THE PRODUCT? ...
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*Image* Bring about this conversion in 2 steps. ...
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Drops of mercury of charge Q and mass M fall into a spherical vessel of radius 1m from a height of 4R from the base. Find the no. of drops that will enter the sphere. Use- 9Q2/Mg = 109 Edit: *Image* ...
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lim (1+ 1/a1 )(1+ 1/a2 )(1+ 1/a3 )....(1+ 1/an ) n→∞ where an is an=n(1+an-1) ; a1=2 ...
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Major product?? *Image* ...
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For what real values of 'a' and 'b' all the maximum of the function f(x)= (5a2/3x3) + 2ax2 - 9x +b are positive and maximum is at point x0=-5/9?? ...
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At what values of m does the integral ∫20 1-cosx dx/xm converge? ...
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The switch is closed at t=0. calculate p.d. across inductor 'ab' as a function of time. *Image* ...
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Show that a mirror in the form of an ellipse with a point object at one focus will produce an image at other focus. ...
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A catalyst decreases the activation energy of the rxn A→B (reversible) by 2%. ΔH = 37.02 Kcal. At 300 K, 4*10-8% molecules of B are able to cross over the potential energy barrier in absence of catalyst. How many times the ...
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Lt n→∞ Lt x→0 1/(1tan2x+2tan2x+....Ntan2x)cot2x We had a similar problem http://www.targetiit.com/iit-jee-forum/posts/find-the-limit-10114.html But I'm not sure about the answer...Plz someone give a complete explanation ...
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Suppose that f is differentiable function with property f(x+y)=f(x)+f(y)+x2y and Lt x→0 f(x)/x =0 Find the value of f'(10) ...
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Lt x→∞ nCx(m/n)x(1-m/n)n-x =? ...
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I don't know whether this one is easy or not, but please help me. With which of the reagents can we bring about the following conversion in single step *Image* ?? ...
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*Image* A semi-circular wire of radius R is rotating with constant ang. velocity ω. Find the p.d. Between points O and A. A constant magnetic field exists. ...
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In the figure, there is a square of side 'l'. Ends C and D are pulled with velocity u. Find the induced emf at the instance when angle ABD is θ. Magnetic field is into the plane of paper. *Image* ...
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What will be the graph of [y]=|sin x|+|cos x|?? ...
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*Image* Two charges +q1 and -q2 are placed at a and b respectively. A line of force emerges from q1(at an angle α with line ab) and terminates at -q2. At what angle will it terminate (β) at -q2 ?? ...
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Can we get expression for magnetic field due to a straight current carrying wire:- μi(cos θ1-cosθ2)/4dπ using ampere's law? Please prove... ...
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*Image* A parallel plate capacitor of area A and seperation d is filled with two wedges of dielectric of constants K1 and K2. What is the equivalent capacitance? ...
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Is the value of current i=nAe^2VT/2ml or i=nAe^2VT/ml ...
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A plano-convex lens has thickness of 4cm. when placed on a horizontal table with curved suface in contact with, the apparent depth of bottom most point of the lens is found to be 3cm. If the lens is inverted, the apparent dep ...
