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at wat value of the resistance Rx in the circuit shown in the fig. will the total resisitance bet. pts A n B be independent of the no. of cells??? *Image* ...
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two long straight wires with equal cross-sectional radii a are located parallel to each other in air.the distance between their axes equals b.find the mutual capacitance of the wire per unit length under the condition b>&g ...
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a space is filled up with a charge with volume density Ï=Ïoe-αr3, where Ïo n α are positive constants , r is the distance from the center of this system.find the magnitude of the electric field strength vector as a funct ...
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an infinitely long cylindrical surface of circular cross section is uniformly charged lenghtwise with the surface density σ=σocosφ where φ is polar angle of the cylindrical coordinate system whose z axis coincides with th ...
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if a,b,c are integers not all simultaneously equal then the min value of l a + bω + cω2l is (where ω is cube root of unity). ans. 1. ...
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Q.1 for small osscillations find the angular frequencyof the system.. ANS. ω=b√k/c√m Q.2 a ball is a solid sphere of radius r n is in pure rolling on M.find the period of oscillation . ANS. T= 2π√(1+μ2)(R-r)/√mgr2 ...
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a charge q is distributed uniformly throughout a non conducting shperical volume of radius R. show that the potential at a dist. a frm the centre where a < R , is given by V = q(3R2 - a2)/8πεo R3 ...
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*Image* Q.1 find the workdone in moving a point charge 2nC frm A to B , if y=6 cm , x= 8cm , q1= 20/3 , q2= -20/3. Q.2 three identical metal plates with large surface areas r kept parallel to each other as shown. the leftmost ...
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two blocks of mass 3 n 6kg r attached to a spring of k=800N/M on a horizontal surface.the spring is initially compressed by 6 cm n then released. 1. the particales perform SHM with time period π/10 sec. 2. the block of mass ...
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a linear harmonic oscillater of force constant 2*106N/M n amplitude 0.01m has a total mechanical energy of 160 joule.its 1. max. potential energy is 100J 2. max. kinetic energy is 100J 3. max. potential energy is 160J 4. min. ...
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two circles touch the x-axis n the line y=mx.they intersect at(9,6) n at one more pt. n the product of their radii is 117/2.then the value of m is.... ans.2√2 ...
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A (x1,y1) is an external pt. on the circle x2+y2=a2.a variable straight line is drawn through A cutting the circle at B n C.if P is a pt. on BC such that AB,AP,AC r in A.P.,then locus of p is??? ans.x(x-x1)+y(y-y1)=0 ...
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if two equilateral triangles r inscribed in a unit radius,the minimum value of their common area is 1.√3 2.√3/2 3.√3/4 4.√6/4 ...
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a ball whose density is 0.4 * 103kg/m3 falls into water frm a height 9 cm.to wat depth i will sink??? 1.9 cm 2.6 cm 3.4.5cm 4.2.25cm ...
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a triangular lamina of area A n height H is immeresd in a liquid of density Ï in a vertical plane with its base on the surface of the liquid.the thrust on the lamina is?? ...
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two squares r enclosed in an unit circle.wat shld be their minimum common area??? ...
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find the ratio of magnitude of angular momentum of a rolling disk abt origin to that abt tne point O on the disk which is at a dist. R/2 frm the center.. 1.2:1 2.1:1 3.1:3 4.4:3 ...
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*Image* a small partical of mass m n its restraining cord r spinning with an angular velocity ω on the horizontal surface of a smooth disc as shown..the force F is slightly relaxed , r increases n ω changes. 1.∂ω/∂r=-Ï ...
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a uniform rod AB of mass m n length l is at rest on a smooth horizontal surface. an impulse J is applied to the end B perpendicular to the rod in horizontal direction . speed of partical at a dist. l/6 frm the centre towards ...
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the complex nos. whose real n imaginary parts r integers n satisfy d equation z.conj z3 + z3conj.z=350 forms a rectangle on the argand plane , the lenght of whose digonal is, 5 10 15 25 ...
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suppose A is a complex no. & n belong to N,such that An =(A+1)n=1.then least value of n is, 1.3 2.6 3.9 4.12 ...
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if the equation z4+a1z3+a2z2+a4=0,wherea1,a2,a3,a4 r real coeffiients diff. from zero has pure imaginary root then the expression a3/a1a2 + a1a4/a2a3 ha d value 1. 0 2. 1 3. -2 4. 2 ...
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if /z/ = max{ /z-1/ , /z+1/ } then, 1./z+conjugatez/=1\2 2.z+ conj. z =1 3./z+conj.z /=1 4.none ...
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which of the following has highest nucleophilicity? a. F b. OH(negative) c. CH3(negative) d. NH2(negative) ...
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a rod of mass M n lenght L is standing in vertical position,it is pushed with infinitimesly small force ,n fall down in a quarter circle without displacing its lower end then wat is the normal reaction when is at horizontal p ...
