Recent questions tagged class12

Which one of the following curves represents the solution of the initial value problem $y= D(e^x-1)$ where $D= \large\frac{dy}{dx}$ and $y(0)=50$

asked Feb 5, 2014 by meena.p

1 answer

The general solution of the differential equation $\large\frac{dy}{dx}=\frac{-y}{x}$ is a family of curves which looks most like which of the following

asked Feb 5, 2014 by meena.p

1 answer

Electric potential has the dimensions of

asked Feb 5, 2014 by yamini.v

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Electric potential on the surface of a solid sphere of radius R is V . Then potential at $\;r=\large\frac{R}{2}\;$ is

asked Feb 5, 2014 by yamini.v

1 answer

A charge Q is placed at each of the two opposite corners of a square . A charge q is placed at each of the other two corners . If the resultant force on each charge q is zero , then

asked Feb 5, 2014 by yamini.v

1 answer

The general solution of the differential equation $\large\frac{dy}{dx}=\frac{1-x}{y}$ is a family of curves which looks most like which of the following?

asked Feb 5, 2014 by meena.p

1 answer

Four charges q , -q , q , -q are placed in order on the four consecutive corners of a square of side a . The work done in interchanging the positions of any two neighbouring charges of the opposite sign is

asked Feb 5, 2014 by yamini.v

1 answer

General solution of differential equation $\large\frac{dy}{dx}=\frac{x}{2a}$

asked Feb 5, 2014 by meena.p

1 answer

The electric field in a region is given by $\;\overrightarrow{E}=\large\frac{\in_{0} x \hat{i}}{l}\;.$ Find the charge contained inside a cubical volume bounded by the surfaces $\;x=0 , x=a , y=0 , y=a , z=0 , z=a $ where $a= 10^{-2} m$ and $l= 2 \times 10^{-2}\; m$

asked Feb 5, 2014 by yamini.v

1 answer

The general solution of the given below differential equation is a family of curve where $4a$ is length of the latus rectum which looks $y \large\frac{dy}{dx}$$=2a$

asked Feb 5, 2014 by meena.p

1 answer

A point charge Q is located on the axis of a disc is radius R at a distance b from the plane of the disc . Find the electric flux through the disc if R= $\;\sqrt{3}\;b$

asked Feb 5, 2014 by yamini.v

1 answer

The electrical potential existing in space is $\;V\;(x , y, z) = A\;(xy+yz+zx)\;$ . Find the expression for the electric field

asked Feb 5, 2014 by yamini.v

1 answer

A particle with kinetic energy $\;10\;MeV\;$ and charge $\;4e\;$ is heading towards a stationary nucleus of atomic number 100 . Calculate the distance of closest approach ?

asked Feb 4, 2014 by yamini.v

1 answer

A charged particle of mass $\;m= 1 kg\;$ and charge $\;q=2\;\mu C\;$ is thrown from a horizontal ground at an angle $\;\theta=45^{0}\;$ with speed $\;20\;m/s\;.$ In space a horizontal electric field $E=2\times10^{6}\;V/m\;$ exist Find the range on horizontal ground of the projectile

asked Feb 4, 2014 by yamini.v

1 answer

An open box with square base is to be made of a given quantity of card board of area $ 36 sq.metre.$ Find the maximum volume of the box.

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

The differential equation for the family of curves $x^2+y^2-2ay=0$ where a is an arbitary constant is given $y'= \large\frac{dy}{dx}$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $r \sin \theta\; d\theta +(r^3 -2 r^2 \cos \theta +\cos \theta)dr=0$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $\large\frac{dy}{dx}$$=xe^{y-x^2}$

asked Feb 4, 2014 by meena.p

1 answer

Find the area bounded by curves $x^2 + (y-1)^2 = 1$ and $x^2 + y^2 = 1$.

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

Find the area bounded by curves $(x - 1)^2 + y^2 = 1$ and $x^2 + y^2 = 1.$

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

Solve the differential equation $\large\frac{dy}{dx}$$=cos(x+y)+sin(x+y)$ and find the particular solution if $y(0)=0$

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

General solution of differential equation: $(x+1) \large\frac{dy}{dx}$$-y = (x+1)^2$

asked Feb 4, 2014 by meena.p

1 answer

General solution of equations : $\large\frac{dy}{dx}$$+py=0$

asked Feb 4, 2014 by meena.p

1 answer

If the lines $\overrightarrow r=(\hat i+2\hat j+3\hat k)+\lambda(3\hat i+2k\hat j-2\hat k)$ and $\overrightarrow r=(\hat i+2\hat j+3\hat k)+\mu(k\hat i+\hat j+5\hat k)$ are $\perp$ to one another then find the equation of the plane containing them.

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

General solution of differential equation: $\large\frac{dy}{dx}=\frac{y+x-2}{y-x-4}$

asked Feb 4, 2014 by meena.p

1 answer

Solution of differential equation : $y(2xy+e^x)dx=e^xdy$

asked Feb 4, 2014 by meena.p

1 answer

A charge q is distributed uniformly on the surface of a sphere of radius R . It is covered by a concentric hollow conducting sphere of radius 2R . Find the charges on the outer surface of hollow sphere if it is earthed

asked Feb 4, 2014 by yamini.v

1 answer

General solution of differential equation: $\large\frac{dy}{dx} =\frac{2x+3y+6}{4x+6y+7}$

asked Feb 4, 2014 by meena.p

1 answer

Solution of differential equation : $\large\frac{dx}{dy}=\frac{y+x-2}{y+x+4}$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $\large\frac{dy}{dx}$$+x \sin 2y=x^3 \cos ^2 y$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $x \large\frac{dy}{dx}$$+y=x^3 y^6$

asked Feb 4, 2014 by meena.p

1 answer

Find the potential on the edge of a disc of charge density $\;\sigma$ and radius $R$

asked Feb 4, 2014 by yamini.v

1 answer

A disc having a uniform charge density $\;\sigma\;$ and radius $\;R\;$ is placed on $\;x-y\;$ plane with centre at the origin . Find the electric potential at a point on z - axis at a distance $\;10 m\;$ from centre . $\;\sigma=16\;\in_{0}\;,R=1 m$

asked Feb 4, 2014 by yamini.v

1 answer

Two point charges $\;q_{1}=q_{2}=2\;\mu C\;$ are fixed at $\;x_{1}= +3m \;and\;x_{2}=-3m\;$ as shown in figure . A third particle of mass 1g and charge $\;q_{3}=-4\;\mu C\;$ are released from rest at $\;y=4m \;$. Find the speed of the particle as it reaches the origin .

asked Feb 4, 2014 by yamini.v

1 answer

The electric field in a region is given by $\;\overrightarrow{E}=\alpha\;x^2 \hat{i}\; $ Here $\;\alpha\;$ is a constant of proper dimensions . Find the total flux passing through a cube bounded by the surfaces . $x=l\;,x=2l\;,y=0\;,y=-l\;,z=0\;,z=l\;.$

asked Feb 4, 2014 by yamini.v

1 answer

Thirteen resistors each of resistance R are connected in the circuit as shown. What sis the effective resistance between A and B?

asked Feb 4, 2014 by thanvigandhi_1

1 answer

The equivalent resistance between the points A and B is

asked Feb 4, 2014 by thanvigandhi_1

1 answer

A uniform electric field of 100 V/m is directed at $30^{0}$ with the +ve x - axis as shown in figure . Find the potential difference $\;V_{BA}\;$ if OA=2 m and OB= 4 m

asked Feb 4, 2014 by yamini.v

1 answer

Two identical balls having a mass m and small radii and having equal charge q are suspendended from common point by two insulating strings of equal length l . In equilibrium each string makes an angle $\;\theta\;$ with the vertical . If $\;\theta=45^{0}\;find\;l^2$ in terms of q and m

asked Feb 4, 2014 by yamini.v

1 answer

General solution of differential equation : $(1+y^2)dx =(\tan^{-1}y -x)dy$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation ; $\large\frac{ydy}{xdx}+\frac{2(x^2+y^2)-1}{(x^2+y^2+1)}=0$

asked Feb 4, 2014 by meena.p

1 answer

$\large\frac{dy}{dx}$$=(4x+y+1)^2$ if $dy(0)=1$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equations: $\large\frac{dy}{dx}$$=e^{3x-2y}+x^2e^{-2y}$

asked Feb 4, 2014 by meena.p

1 answer