Recent questions tagged sec-b

Two point charges $+9e$ and $e$ are seperated by 412\;cm4 in air. determine the position of the point at which the resultant electric is zero.

asked Apr 28, 2015 by meena.p

1 answer

A conductor with a cavity in it is given a charge Q. What will be the total charge on the surface of this conductor if another carrying charge q is placed in the cavity without touching the cavity ?

asked Apr 28, 2015 by meena.p

1 answer

An infinite line charge produces a field of $ 9 \times 10^4 \;N/c$ at a distance of $2 \;cm$ . calculate the linear density .

asked Apr 28, 2015 by meena.p

1 answer

A uniformly charged conducting sphere of $2.4\;m$ diameter has a surface charge density of $80.0 \mu c/m^2$ a) find the charge on the sphere b) what is the total electric flux leaving the surface of the sphere ?

asked Apr 28, 2015 by meena.p

1 answer

A conducting sphere of radius $10\;cm$ has an unknown charge. If the electric field $20\;cm$ from the center of the sphere is $1.5 \times 19^3 N/C$ points radially inwards , what is the net charge on the sphere.

asked Apr 28, 2015 by meena.p

1 answer

A point charge causes an electric flux of $-1.0 \times 10^{3} Nm^2/C$. to pass through a spherical gaussian surface of $10.0\;cm$ radius centred on the charge . What is the value of the point charge ?

asked Apr 28, 2015 by meena.p

1 answer

A point charge causes an electric flux of $-1.0 \times 10^{3} Nm^2/C$. to pass through a spherical gaussian surface of $10.0\;cm$ radius centred on the charge .If the radius of the gauassian surface were doubled, how much flux would pass through the surface ?

asked Apr 28, 2015 by meena.p

1 answer

A point charge of $2.0 \mu C$ is at the centre of a cubic guassian surface $9.0\;cm $ on edge. What is the net electric flux through the surface ?

asked Apr 27, 2015 by meena.p

1 answer

A point charge $+10 \mu c$ is at a distance $5\;cm$ directly above the center of a square of side $10\;cm$ , as shown in fig. What is the magnitude of the electric flux through the square . (Hint : Think of the square as one face of a cube with edge 10 cm)

asked Apr 27, 2015 by meena.p

1 answer

Careful measurement of the electric field at the surface of a block box indicates that the net outward flux through the surface of the box is $8.0 \times 10^3 \;N-m^2 /C$.If the net outward flux through the surface of the box were zero, could you conclude that there were no changes inside the $60 x?$ Why or why not ?

asked Apr 27, 2015 by meena.p

1 answer

Careful measurement of the electric field at the surface of a block box indicates that the net outward flux through the surface of the box is $8.0 \times 10^3 \;N-m^2 /C$. What is the net change inside the box ?

asked Apr 27, 2015 by meena.p

1 answer

From a set of 100 cards numbered 1 to 100 , one card is drawn at random. Find the probability that the number on the card is divisible by 6 or 8, but not by 24.

asked Mar 22, 2015 by meena.p

1 answer

Find the vector and cartesian equations of the plane which bisects the line joining the points $(3,-2,1) $ and $(1,4,-3)$ at right angles.

asked Mar 22, 2015 by meena.p

1 answer

Let $P(3,2,6)$ be a point in the space and Q be a point on the line $ \overrightarrow{r} =(\hat i - \hat j +2 \hat k) +\mu (-3 \hat i +\hat j +5 \hat k ), $ then find the value of $\mu $ for ehich the vector $\overrightarrow{PQ}$ is parallel to the plane $x -4y+3z=1$

asked Mar 22, 2015 by meena.p

1 answer

Show that the lines $\large\frac{x-1}{3} =\frac{y-1}{-1}$$,z+1=0$ and $\large\frac{x-4}{2} =\frac{z+1}{3}$$,y=0$ intersect each other . Also find their point of intersection .

asked Mar 22, 2015 by meena.p

1 answer

Evaluate : $\lim \int \limits _0^{\pi} \large\frac{x \tan x }{\sec x . \tan x}$$dx$

asked Mar 22, 2015 by meena.p

1 answer

Find $\int \limits_0^2 (x^2+e^{2x+1)}dx$ as the limit of a sum

asked Mar 22, 2015 by meena.p

1 answer

Evaluate : $\int x. \sin ^{-1}x dx$

asked Mar 20, 2015 by meena.p

1 answer

Find : $\int \large\frac{1- \cos x}{\cos x (1+\cos x)}$$dx$

asked Mar 20, 2015 by meena.p

1 answer

If $y= \sqrt {x+1} -\sqrt {x-1} $, prove that $(x^2-1) \large\frac{d^2y}{dx^2} $$+x\large\frac{dy}{dx} -\frac{1}{4}$$y=0$

asked Mar 20, 2015 by meena.p

1 answer

If $\log \sqrt {x^2+y^2}=\tan ^{-1} \bigg( \large\frac{x}{y} \bigg)$, then show that $\large\frac{dy}{dx}=\frac{y-x}{y+x}$

asked Mar 20, 2015 by meena.p

1 answer

If $y=x^{2^{-x^2}}$, find $\large\frac{dy}{dx}$

asked Mar 20, 2015 by meena.p

1 answer

If function $f(x) =|x-3| +|x-4| $, then show that $f(x)$ is not differentiable at $x=3$ and $x=4$

asked Mar 20, 2015 by meena.p

1 answer

Find the inverse of matrix $A=\begin{bmatrix} 3 & -1 & 1 \\ -15 & 6 & -5 \\ 5 & -2 & 2 \end{bmatrix}$ and hence show that $A^{-1} .A =I$

asked Mar 19, 2015 by meena.p

1 answer

If $ X\begin{bmatrix} 1 & 2 & 3 \\4 & 5 & 6 \end{bmatrix}=\begin{bmatrix} -7 & -8 & -9 \\2 & 4 & 6 \end{bmatrix}$, then find the matrix X.

asked Mar 19, 2015 by meena.p

1 answer

If $ a \neq b \neq c$ and $\begin{vmatrix}a & b & c \\b & c & a \\c & a & b \end{vmatrix}$$=0$ , then using properties of determinants, prove that $a+b+c=0$

asked Mar 19, 2015 by meena.p

1 answer

If $\tan ^{-1} x+\tan ^{-1}y+\tan ^{-1} z= \large\frac{\pi}{2}$$,x,y,z>0$, then find the value of $xy+yz+zx$

asked Mar 19, 2015 by meena.p

1 answer

There are 3 families A,B and C. The number of men , women and children in these are as under : Dairy expense of men , women and children are $ Rs 200, Rs .150$ and $Rs 200$ respectively. Only men and women earn and children or not. using matrix multiplication , calculate the dairy expenses of each family. What impact does more children in the family create on the society ?

asked Mar 19, 2015 by meena.p

1 answer

An arithmetic progression $5, 12,19....., $ has I st terms. Find its last term hence find the sum of its last 15 terms.

asked Mar 18, 2015 by meena.p

1 answer

Solve the following quadratic equation for $x_i.\qquad x^2-2ax-(4b^2-a^2)=0$

asked Mar 18, 2015 by meena.p

1 answer

If $A(4,3) ,B(-1,y) $ and $C(3,4) $ are the vertices of a right triangle $ABC$, right angled at A, then find the value of Y.

asked Mar 17, 2015 by meena.p

1 answer

Find the ralation between x and y if the points $A(x,y), B(-5,7)$ and $C(-4,5)$ are collinear.

asked Mar 17, 2015 by meena.p

1 answer

The points $A(4,7),B(p,3)$ and $C(7,3)$ are the vertices of a right triangle , right angled at B. Find the value of P.

asked Mar 17, 2015 by meena.p

1 answer

In an AP, if $S_5+S_7=167$ and $S_{10} =235$ , then find the AP , where $S_n$ denotes the sum of its first n terms.

asked Mar 17, 2015 by meena.p

1 answer

Solve the following quadratic equation for x: $4x^2+4bx-(a^2-b^2) =0$

asked Mar 17, 2015 by meena.p

1 answer

A triangle ABC is drawn to circumscribe a circle of radius 3 cm. such that the segments $BD$ and $DC$ are respectively of length 6 cm and 9 cm. If the are $\Delta ABC$ is $54\;cm^2$, then find the lengths of sides $AB$ and $AC $

asked Mar 17, 2015 by meena.p

1 answer

Two tangents $RQ$ and $RP$ are drawn from an external point R to the circle with center $Q$. If $ \angle PRQ=120^{\circ}$ then prove that $OR=PR=RQ$

asked Mar 17, 2015 by meena.p

1 answer

evaluate $ \int \limits_0 ^ {\pi} \large\frac{x}{(1+\sin x)}$$dx$

asked Mar 14, 2015 by ahammedshamil.k

2 answers

How many lead shots each having diameter $3\;cm$ can be made from a cuboidal lead solid of dimensions $9cm \times 11cm \times 12cm$

asked Feb 19, 2015 by meena.p

1 answer

IF $\Delta ABC$ is isosceles with $AB =AC$ and centre $(O,r)$ is the incircle of the $∆ABC$ touching $BC$ at $L$. Prove that $L$ bisects $BC.$

asked Feb 19, 2015 by meena.p

0 answers

A circus tent is cylindrical upto a height of $3m$ and conical above it. I the diameter of the base is $105\;m$ and the slant height of the conical part is $53\;m$, find the total canvas used in making the tent.

asked Feb 19, 2015 by meena.p

1 answer

In a musical chair game, the person playing the music has been advised to stop playing the music at any time within $2$ minutes after she startys playing. What is the probability that the music will stop within half a minute after starting?

asked Feb 19, 2015 by meena.p

1 answer

Prove that the points $(a,b+c),(b,c+a),(c,a+b)$ are collinear.

asked Feb 18, 2015 by meena.p

0 answers

Determine the ratio of the volume of a cube to that of a sphere which will exactly fir inside the cube.

asked Feb 18, 2015 by meena.p

1 answer

Prove that $\large\frac{dy}{dx}=\frac{[\sin ^2(a+y)]}{\sin a}$

asked Feb 10, 2015 by meena.p

0 answers

Find the distance between the planes, $2x-y+2z=-3$ and $-2y+4x+4z+5=0$

asked Feb 10, 2015 by meena.p

0 answers

Find the cartesian equation of the line passing through the points , $A(2,-1,3)$ and $B(4,2,1)$

asked Feb 10, 2015 by meena.p

0 answers

Find the cartesian equation of the line passing through the points , $A(2,-1,3)$ and $B(4,2,1)$

asked Feb 9, 2015 by meena.p

0 answers

Find a unit vector perpendicular to each of the vectors , $\overrightarrow{a}+\overrightarrow{b}$ and $\overrightarrow{a}- \overrightarrow{b}$ where $\overrightarrow{a}= 3 \hat i +2 \hat j+2 \hat k$ and $\overrightarrow{b}= \hat i +2 \hat j- 2\hat k$

asked Feb 9, 2015 by meena.p

0 answers

Find the intervals in which $f(x) = \log (1+x) \large\frac{-x}{(1+x)}$

asked Feb 9, 2015 by meena.p

1 answer

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