Recent questions tagged class12

Solve : $(x^2+1) dy =(4x+xy^2)dx$

asked Feb 6, 2014 by meena.p

1 answer

Solve : $e^x y dx=(e^{2x}+1) dy \quad y \cos =1$

asked Feb 6, 2014 by meena.p

1 answer

$y=e^{(t+2)x}$ is a solution of equation $\large\frac{d^2y}{dx^2}-\frac{4dy}{dx}$$+4y=0$ then t equals

asked Feb 6, 2014 by meena.p

1 answer

Find solution : $\large\frac{dy}{dx} $$= 1+ \sqrt {y-x+3}$

asked Feb 6, 2014 by meena.p

1 answer

Find solution : $\large\frac{dy}{dx}$$=y (x^2y^2-1)$

asked Feb 6, 2014 by meena.p

1 answer

An infinite number of charges each numerically equal to q and of the same sign are placed along the x-axis at $\;x=1 ,2 ,4 ,8----\;.$ Find elctric potential at $\;x=0$

asked Feb 6, 2014 by yamini.v

1 answer

Two point charges $\;q_{1}$ and $\;q_{2}$ are placed at a certain distance d from each other . The interacting force between them is F . Now both charges kept in oil of relative permittivity 5 . What is the new value of force between them

asked Feb 6, 2014 by yamini.v

1 answer

At a certain distance from a point charge , the field intensity is $\;500 V/m\;$ and the potential is 1500 V . The magnitude of charge is

asked Feb 6, 2014 by yamini.v

1 answer

Find the solution : $ x^2y'=1-xy$

asked Feb 6, 2014 by meena.p

1 answer

Find the solution : $-x dy +(y+\sqrt {xy})dx=0$

asked Feb 6, 2014 by meena.p

1 answer

Determine functions $y= 2e^{-x}+ 3e^{2x}$ is solution to which of following differential equation

asked Feb 6, 2014 by meena.p

1 answer

Solve : $ y dx +x dy +\sin y \cos ^2 (xy) dy+e^x \cos^2 (xy) dx=0$

asked Feb 6, 2014 by meena.p

1 answer

Find curve in $x-y$ plane which passes through$(1,1)$ . Intersects line $y=x$ at right angle at that point and satisfies $xy''+2y''=0$

asked Feb 6, 2014 by meena.p

1 answer

Find the curve $y= f(x) $ through the origin for which $y''=y'$ and tangent at origin is $y=x$

asked Feb 6, 2014 by meena.p

1 answer

Find all curves in x-y plane such that tangent at each point (x,y) of curves intersects the x-axis at $(x-1,0)$

asked Feb 6, 2014 by meena.p

1 answer

Find all curves in x-y plane such that tangent at each point (x,y) of curves intersects the x-axis at $(x-1,0)$

asked Feb 6, 2014 by meena.p

0 answers

An electrical charge $\;4\times10^{-8} C\;$ is placed at the point $\;(2 ,3 ,5)\;.$ At the point $\;(5 , 3, 1) m \;$ electric field vector will be

asked Feb 6, 2014 by yamini.v

1 answer

If the potential at the centre of a uniformly charged hollow sphere of radius R is V then electric field at a distance r from the centre of sphere will be $\;(r > R)$

asked Feb 6, 2014 by yamini.v

1 answer

Find the magnitude of net electric field at the centre of square having charges arranged as shown in figure

asked Feb 6, 2014 by yamini.v

1 answer

The initial value problem governing the current i following in an RL circuit when a step voltage of magnitude $\in$ is applied to circuit at $t=0$ is given by (R, L, t are constants ) $iR= \large\frac{Ldi}{dt} $$=\in, t > 0, i(0)=0$ Determine limiting value of i as $t \to \infty$

asked Feb 6, 2014 by meena.p

1 answer

The potential at a point x due to some charges situated on the x- axis is given by $\;V (x) = \large\frac{20}{(x^2-4)} volt\;$. The electric field at x = 4m is given by

asked Feb 6, 2014 by yamini.v

1 answer

A ratio active substance dis integrals at a rate proportional to amount of substance present. $50 \%$ of amount disintegrates in $1000$ years. Approximately what $\%$ of substance will disintegrate in $50$ years ?

asked Feb 6, 2014 by meena.p

1 answer

A charge particle 'q' is shot towards another charged particle 'Q' which is fixed , with a speed 'v'.It approaches 'Q' upto a closest distance r and then returns . If q were given a speed of '2v' the closest distance of approach would be

asked Feb 6, 2014 by yamini.v

1 answer

Charge Q is given a displacement $\;\overrightarrow{r}=a \hat{i} + b \hat{j}\;$ in an electric field $\;\overrightarrow{E}=E_{1} \hat{i} + E_{2} \hat{j}\;.$ The work done is

asked Feb 6, 2014 by yamini.v

1 answer

A drop of liquid evaporates at a rate proportional to its area of surface. If the radius initially is $4\;mm$ and $5$ minutes later, the radius is reduced to $2\; mm$, find radius of drop as a function of time ?

asked Feb 6, 2014 by meena.p

1 answer

Two thin wire rings each having radius R are placed at a distance d apart with their axes coinciding . The charges on the two rings are +Q and -Q .The potential difference between the centres of the two rings is

asked Feb 6, 2014 by yamini.v

1 answer

There is an electric field E in x - direction . If the work done on moving a charge of 0.2C through a distance of 2m along a line making an angle $\;60_{0}\;$ with x - axis is 4J . What is value of E

asked Feb 6, 2014 by yamini.v

1 answer

A charged particle of mass 100g and charge $\;10^{-3} C\;$ is suspended through a thread . A horizontal electric field $\; E=\sqrt{3}\times10^{3} NC^{-1}\;$ exists in region . Find the angle made by thread with verticle .

asked Feb 6, 2014 by yamini.v

1 answer

Observation show that rate of change of atmosphere pressure P with attitude h is proportional to pressure. Assume that pressure at 6000 meter is half of its value $P_0$ at sea level, find formula for pressure at any height.

asked Feb 6, 2014 by meena.p

1 answer

The growth rates of a bacteria population is proportional to its size. Initially the population is $10,000$ while after 10 days its size is $25,000$ . What will be population after 20 days?

asked Feb 6, 2014 by meena.p

1 answer

find value of $K_1$ and $K_2$ for which $y= \large\frac{x}{K_1} $$+K_2$ is a solution of differential equation $y''-2y' -3y=x$

asked Feb 6, 2014 by meena.p

1 answer

In the adjoining infinite circuit, what is the effective resistance as seen by the battery

asked Feb 5, 2014 by thanvigandhi_1

1 answer

A charge Q is to be divided on two objects . What should be the values of the charges on the objects so that the force between the objects can be maximum

asked Feb 5, 2014 by yamini.v

1 answer

To double the full scale reading of any galvanometer turned into a voltmeter, you must

asked Feb 5, 2014 by thanvigandhi_1

1 answer

The electric field in a region is radially outward with magnitude $E=A\;r\;$ . Find the charge contained in a sphere of radius a centered at the origin . Take $\;A=90\;Vm^{-2}\;$ and $\;a = 2m\;$

asked Feb 5, 2014 by yamini.v

1 answer

The degree and order of differential equation of family of parabolas whose length of latus rectum is fixed and axis is x-axis ,are respectively

asked Feb 5, 2014 by meena.p

1 answer

The value of each of the resistors is R. The equivalent resistance between A and B is

asked Feb 5, 2014 by thanvigandhi_1

1 answer

Find the solution : $y (\log x-1) y dx=x dy $

asked Feb 5, 2014 by meena.p

1 answer

If $ \sqrt{1-y^2}-\sqrt{1-x^2}=a(x-y),\normalsize$ then find $\large\frac{dy}{dx}$

asked Feb 5, 2014 by rvidyagovindarajan_1

1 answer

A thin metallic spherical shell contains a charge Q on it . A point charge q is placed at the centre of the shell and another charge $\;q_{1}\;$ is placed outside it as shown in figure . All the three charges are +ve . The force on the charge at centre is

asked Feb 5, 2014 by yamini.v

1 answer

Solve and get solutions : $ \bigg( x +y \large\frac{dy}{dx}\bigg)=\bigg( y -x \large\frac{dy}{dx}\bigg) \bigg(x^4+\large\frac{y^6}{x^2}$$+3 (x^2y^2+y^4)\bigg)$

asked Feb 5, 2014 by meena.p

1 answer

Solution of differential equation $\large\frac{dy}{dx} +\frac{y}{x}$$=x^3 y^5$ is which of the following?

asked Feb 5, 2014 by meena.p

1 answer

Two identical particles , each having a charge of $\;2\times10^{-4}\;C\;$ and mass 10g are kept at a separation of 10 cm and released . What would be the speeds of the particles when the separation becomes large ?

asked Feb 5, 2014 by yamini.v

2 answers

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

asked Feb 5, 2014 by meena.p

1 answer

A particle having a charge of $\;2 \mu C\;$ is placed directly below and at a separation of 10 cm from the bob of a simple pendulum at rest . What charge should the bob be given so that the string becomes loose ? mass of the bob is 1 kg .

asked Feb 5, 2014 by yamini.v

1 answer

Which of the following equation is linear ?

asked Feb 5, 2014 by meena.p

1 answer

The electric field and the electric potential at a point are E and V respectively

asked Feb 5, 2014 by yamini.v

1 answer

A point charge q is rotated along a circle in the electric field generated by another point charge Q . The work done by the electric field on the rotating charge in one complete revolution is

asked Feb 5, 2014 by yamini.v

1 answer

The graph of the function $y=f(x)$ passing through the point $(0,1)$ and satisfy the differential equation $\large\frac{dy}{dx}$$+y \cos x =\cos x $ is such that

asked Feb 5, 2014 by meena.p

1 answer

Two charged particles having charge $\;2.0\times10^{-8}\;C\;$ each are joined by an insulating string of length 1m and the system is kept on smooth horizontal table . Find the tension in the string

asked Feb 5, 2014 by yamini.v

1 answer

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