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A disk of radius r,mass m which has a charge q distributed uniformly over it is rotating in a magnetic field B about it's axis with an angular speed ω.Find the ratio of magnetic moment and angular momentum. ...
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A circular loop of radius R carries a current I.Another circular loop of radius r(<<R) carries a current i and is placed at the centre of the larger loop.The planes of the two circles are at right angle to each other.Fi ...
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1) Let f:R to R be continuous function which satisfies f(x)=∫(0 to x)f(t)dt, then the value of f(ln5) is: a)0; b)2; c)4; d) 6. 2) Let I=∫(0 to 1) (sinx)/ x and J=∫(0 to 1) (cosx)/ x .Then which is true? a)I<2/3 and J ...
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Let f(x) be a non constant twice differentiable function defined on (-∞,∞) such that f(x)=f(1-x) and f'(1/4)=0.Then a) f''(x) vanishes at least twice on [0,1] b) f'(1/2)=0 c) ∫(frm -1/2 to 1/2)f(x+1/2)sinxdx=0 d) ∫(fr ...
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Integrate:: 4x3[d2/dx2(1-x2)5]dx from 0 to 1.Here d2/dx2 means the double derivative of the function w.r.t.x. This sum is meant for students only ,not for experts. ...
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If x>0 then integrate (2x-[2x])2 from 0 to 100[x] where [.] means G.I.F. ...
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1) Prove that ∫x3 2ax-x2 dx=7πa5/8. 2) Integrate: [ x4/(1-x4)] *cos-1(2x/(1+x2). Upper limit=1/ 3 ;Lower limit=-1/ 3 . 3) Integrate::: 2-x2/[(1+x) 1-x2 ].Upper limit=1;Lower limit=0. 4) Integrate:::: log(1+tanx) from 0 to ...
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INTEGRATE: 1) (x3+3)/x6(x2+1). Upper limit=∞;Lower limit=0 2) xe-x/( 1-e-2x ). Upper limit=0;Lower limit=∞. 3) If f(x) be a function satisfying f'(x)=f(x) with f((0)=1 and g be the function satisfying f(x) + g(x)=x2,then ...
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Integrate: 1) ( sinx )/( sinx + cosx ) 2) xln(x)/(x2-1)3/2. ...
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Integrate: 1) (1+x-2/3)/(1+x) 2) cos2x /sinx 3)(x2 + n(n-1))/(xsinx+ncosx)2 ...
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Integrate: 1) [(x-1) x4+2x3-x2+2x+1 ]/x2(x+1) 2) (x2-1)/(x3 2x4-2x2+1 ) ...
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The magnetic field existing in a region is given by B=B0(1+x/l)k→.A square loop of edge l and carrying a current i,is placed with it's edges parallel to the x-y axes.Find the magnitude of the net magnetic force experienced ...
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Why is pyridine used in the reaction of R-OH + PCl3 to make R-Cl? ...
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What explains the fact that methanol reacts with HX faster than a primary alcohol? ...
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try this integration: \frac{x^{2}-2}{x^{3}\sqrt{x^{2}-1}} ...
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INTEGRATE: emsin-1x ...
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Integrate this: \frac{x^{3}sin^{-1}x}{\sqrt{1-x^{2}}} ...
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PROVE THAT : iim x100ln(x)/extan-1(π/3 + sinx)=∞ x→∞ ...
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The minimum value of mod of(sinA + cosA + tanA + secA + cotA + cosecA) is 2 2 -k.Find k ...
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If f(x)=∫xa 1/f(x) dx (x>0) and ∫1a 1/f(x) dx= 2 ,then f(50) is: ...
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If f(x) and φ(x) are continuous function in[0,4] satisfying f(x)=f(4-x),φ(x) + φ(4-x)=3 and ∫40f(x)dx=2,then the value of ∫40 f(x)φ(x)dx is: NOTE:The upper and lower limits are 4 and 0 ...
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If each ai>0, then the shortest distance between the point(0,-3) and the curve y=1+a1x2 + a2x4 + ...........................................+anx2n is a) 1 b) 2 c) 3 d) 4 ...
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If each ai>0, then the shortest distance between the point(0,-3) and the curve y=1+a1x2 + a2x4 + ...........................................+anx2n is a) 1 b) 2 c) 3 d) 4 ...
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Given that f is areal valued differentiable function such that f(x)f'(x)<0,for all real x.It fpllows that a) f(x) is an increasing function b) f(x) is a decreasing fnction C) mod(f(x)) is an increasing function d) mod(f(x) ...
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what is the mechanism for the intramolecular wurtz reaction? ...
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A rod of length 10 m. is travelling on a smooth,level,horizontal surface.Beyond a point A,the floor ceases to be smooth and the coefficient of friction is k=0.1.The rod is travelling such that it is moving towards the point A ...
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A particle is projected from the bottom of an inclined plane at an angle θ with the surface of the incline.The angle of the inclined plane is 45.For what value of θ will the particle retrace it's path after collision with t ...
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Four point charges each of charge +q are rigidly fixed at the four corners of a square planar soap film of side a.The surface tension of the soap film is S.the system of charges and planar film are in equilibrium.Then find a ...
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Five men A,B,C,D,E are wearing caps of black or white colour without each knowing the colour of his cap.It is known that a man wearing a black cap always speaks the truth while a man wearing a white cap always lies.If they ma ...
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An intelligent trader travels from 1 place to another with 3 sacks carrying 30 coconuts each.No sack can hold more than 30 coconuts each.On the way he passes through 30 checkpoints and on each checkpoint he has to give 1 coco ...
