Recent questions tagged class12

Two wires of resistivity $\rho 1$ and $ \rho 2$ are connected in parallel. Equivalent resistivity of the combination is

asked Feb 8, 2014 by thanvigandhi_1

1 answer

$\large\frac{dy}{dx}$$=1$ passes through $\large[$$0,\large\frac{3}{2}]$ and $ \large\frac{dy}{dx}$$=2$ passes through $[0,1]$ represents two curve which passes through a point whose coordinates are zeroes of a quadratic polynomial . The quadratic equation is gradient polynomial. Find sum of coefficients of $x^3,x^2,x$

asked Feb 7, 2014 by meena.p

1 answer

A tank contains $200\; gal$ of water of $40\; lb$ salt dissolves. $5\; gal$ of brine , each containing $2\; lb$ of dissolved salt, run into tank per minute and mixture kept uniform by stirring runs out at same rate. Find amount of salt $y(t)$ in tank at any time $(t)$

asked Feb 7, 2014 by meena.p

1 answer

Solve : $2e^{\Large\frac{x}{y}}(dx-dy)+dx-2e^{\Large\frac{x}{y}} \large\frac{x}{y}$$dy=0$

asked Feb 7, 2014 by meena.p

1 answer

Solve : $y'= 1+y^2$

asked Feb 7, 2014 by meena.p

1 answer

The two curves represents by $9yy'+4x=0,\; y(0)=2,\; yy'+x=0,\; y(0)=3$ then number of common normals for two curves will be

asked Feb 7, 2014 by meena.p

1 answer

Initially the spheres A and B are at potential $\;V_{A}\;$ and $\;V_{B}\;$ respectively . Now sphere B is earthed by closing the switch . The potential of A will now become

asked Feb 7, 2014 by yamini.v

1 answer

Find solution of differential equation $(y-x+1) dy -(y+x+2)dx=0$

asked Feb 7, 2014 by meena.p

1 answer

Find solution : $(x-2y+1) dy -(3x-6y+2)dx=0$

asked Feb 7, 2014 by meena.p

1 answer

Eliminate arbitrary constant and obtain differential equation $x^2-y^2= a(x^2+y^2)^2$

asked Feb 7, 2014 by meena.p

1 answer

Solve: $(3xy+y^2)dx+(x^2+xy)dy=0 \qquad y(1)=1$

asked Feb 7, 2014 by meena.p

1 answer

A charged particle of mass m and charge q is released from rest from the position $\;(x_{0} ,0)\;$ in a uniform electric field $\;E_{0} \hat{j}\;.$ The angular momentum of particle about origin

asked Feb 7, 2014 by yamini.v

1 answer

Solve: $\large\frac{dy}{dx}=\frac{-\sqrt {1-y^2}}{x-e^{\Large\sin ^{-1}y}}$

asked Feb 7, 2014 by meena.p

1 answer

An electric dipole is placed perpendicular to an infinite line of charge at some distance as shown in figure . Identify the correct statement

asked Feb 7, 2014 by yamini.v

1 answer

Potential due to a system at polar coordinates $\;(r , \theta)\;$ is given by $\;\large\frac{\alpha \;cos \theta}{r^2}\;$ Find the magnitude of electric field at that point if $\;\alpha=3 Vm^2\;,(r , \theta)=(\sqrt{3} ,tan^{-1} \large\frac{1}{\sqrt{2}}). $

asked Feb 7, 2014 by yamini.v

1 answer

Find potential difference $\;V_{AB}\;$ between $\;A(0,0,0)$ and $\;B(1m ,1m, 0)\;$ in an electric field $\;\overrightarrow{E}=y \hat{i}+x \hat{j}$

asked Feb 7, 2014 by yamini.v

1 answer

A uniform electric field exists in x -y plane. The potential of points $\;A (2m ,2m) , B (-2m ,2m)\;and\; C(2m ,4m)\;$ are 4V , 16V and 12V respectively . The electric field is

asked Feb 7, 2014 by yamini.v

1 answer

Solve : $y''+e^{2y}(y')^3=0$

asked Feb 7, 2014 by meena.p

1 answer

Find general solution of equation $y'-2y+a=0$ a=fixed

asked Feb 7, 2014 by meena.p

1 answer

The electric field on the axis of a dipole of dipole moment $\;\overrightarrow{P}\;$ at a distance x from the line joining the charges and $\;(x > > d)\;$

asked Feb 7, 2014 by yamini.v

1 answer

There are four concentric shells A , B , C ,D of radii a , 2a ,3a and 4a respectively . Shells B and D are given charges +q and -q respectively . Shell C is now earthed . The potential difference $\;V_{A}-V_{C}\;$ is

asked Feb 7, 2014 by yamini.v

1 answer

If the electric potential of the inner shell is 10V and that of the outer shell is 5V , then the potential at the centre will be

asked Feb 7, 2014 by yamini.v

1 answer

Potential difference between centre and surface of the sphere of radius R and $\rho$ uniform volume charge density within it will be

asked Feb 7, 2014 by yamini.v

1 answer

Find all values of m for which $y-e^{mx}$ is solution of equation $y'''-2y''-y'+2y=0$

asked Feb 7, 2014 by meena.p

1 answer

Which of following satisfy the differential equation $y'+2xy=0?$

asked Feb 7, 2014 by meena.p

1 answer

Three concentric matallic shells A , B and C of radii R , 2R and 3R have surface charge densities $\;\sigma , -\sigma\;and\;\sigma\;$ respectively . Find the potential difference between A & C

asked Feb 7, 2014 by yamini.v

1 answer

Which of the following satisfy differential equation $(1- \sin x) ^2 y''=\cos x$

asked Feb 7, 2014 by meena.p

1 answer

Two concentric conducting spheres of radii R and 2R are carrying charges Q and -2Q respectively . If the charge on inner sphere is doubled the potential difference between the two spheres will becomes

asked Feb 7, 2014 by yamini.v

1 answer

Find nature of curve not passing through origin for which tangent at any point P. on curve is equal to radius vector of point P.

asked Feb 7, 2014 by meena.p

1 answer

The largest internal for which solution of differential equation $\large\frac{dy}{dx}=\sqrt {\large\frac{1-y^2}{(1+x^2)^2}}$ where $y(0)= \large\frac{1}{\sqrt 2}$ holds good is

asked Feb 7, 2014 by meena.p

1 answer

Four point charges $\;+1 \mu C ,+1 \mu C,-1 \mu C-1 \mu C\;$ are placed at the four consecutive corners of a square of side 0.1m . What is the magnitude of electric field at E as shown in figure .

asked Feb 7, 2014 by yamini.v

1 answer

Solve : $\log \bigg(\large\frac{1}{x}.\frac{dy}{dx}\bigg)$$=2x+5y$

asked Feb 7, 2014 by meena.p

1 answer

Form a differential equation represent family of curve given by $y= (c_1+c_2) -\sin (x+c_3)-c_4 e^{x+c_5}$

asked Feb 7, 2014 by meena.p

1 answer

Solve : $ \bigg(4 \sin ^{-1} \log \bigg(\large\frac{d^4y}{dx^4}\bigg)\bigg)^3=x+y^2$

asked Feb 7, 2014 by meena.p

1 answer