Recent questions in Model Papers

From the number of electrons in $lc$ of negative charge.

asked Apr 22, 2015 by meena.p

1 answer

Consider three charged bodies A,B and C. If A and repel each and A attracts C, What is the nature of force between B and C ?

asked Apr 22, 2015 by meena.p

1 answer

A change q is placed at the center of a cube of side l. What is the electric flux passing through each face of the cube ?

asked Apr 22, 2015 by meena.p

1 answer

Draw electrostatic field lines for a positive charge Q.

asked Apr 22, 2015 by meena.p

1 answer

The force on an electron kept in an electric field in a particular direction is F. What will be the magnitude and direction of the force experienced by a proton kept at the same point in the filed ? Mass of the proton is about $1836$ times the mass of the electron

asked Apr 22, 2015 by meena.p

2 answers

A dipole moment P is kept in a uniform electric field E. Write the value of the angle between P and E for which the torque experienced by the dipole is (i) minimum (ii) maximum

asked Apr 22, 2015 by meena.p

1 answer

Can electrostatic potential at a point , be zero, while electric field at that point is not zero ?

asked Apr 22, 2015 by meena.p

1 answer

The electric field in a certain region of space is given by $E= \hat i +2 \hat j + 3\hat k Nc$. Calculate the electric flux over the area given by $S= 3 \hat i + 4 \hat j \;m^2$

asked Apr 22, 2015 by meena.p

1 answer

The net inward flux through any closed surface is $8.0 \times 10^3Nm^2 c^{-1} $. Find the net charge inside the box .

asked Apr 22, 2015 by meena.p

1 answer

In which orientation , a dipole placed in a uniform electric field is in (i) stable (ii) unstable equilibrium ?

asked Apr 22, 2015 by meena.p

1 answer

Two dipoles , made from charge $\pm q$ and $\pm Q$ respectively , have equal dipole moments . give the (i) ratio between the seperation of these two pairs of charges. (ii) angle between the dipole axis of these two dipoles

asked Apr 22, 2015 by meena.p

1 answer

Two protons are brought nearer, What will be the effect on potential energy system ?

asked Apr 21, 2015 by meena.p

1 answer

A man in an insulated metallic cage does not receive a shock , even when the cage connected to a high voltage source. why ?

asked Apr 21, 2015 by meena.p

1 answer

What is the change on $Cu^{++}$

asked Apr 21, 2015 by meena.p

1 answer

The distance of the field point, on the equatorial place of a small electric dipole is halved . By what factor does the electric field due to the dipole charge ?

asked Apr 21, 2015 by meena.p

0 answers

The distance of the field point, on the equatorial place of a small electric dipole is halved . By what factor does the electric field due to the dipole charge ?

asked Apr 21, 2015 by meena.p

1 answer

A and B are two conducing spheres of the same radius, A being solid and B hollow. Both are changed to the same potential . What will be the relation between the changes on the two spheres ?

asked Apr 21, 2015 by meena.p

1 answer

An electrostatic field line cannot be discontinuous , why ?

asked Apr 21, 2015 by meena.p

1 answer

What is the angle between the direction of electric field at any (i) axial point and (ii) equatorial point. due to an electric dipole ?

asked Apr 21, 2015 by meena.p

1 answer

An electric dipole of dipole moment $20 \times 10^{-6}$ is enclosed by closed surface. what is the net flex coming out of this surface ?

asked Apr 21, 2015 by meena.p

1 answer

Consider the situation shown in the figure be what are the signs of $q_1$ and $q_2$ ?

asked Apr 21, 2015 by meena.p

1 answer

A point charge Q is placed at point O as shown in the fig. Is the potential difference $V_A - V_B $ positive ? negative or zero, if Q is (i) Positive (ii) negative

asked Apr 21, 2015 by meena.p

1 answer

Write the SI unit for electric dipole moment

asked Apr 21, 2015 by meena.p

1 answer

Write the S.I unit of electric field intensity

asked Apr 21, 2015 by meena.p

1 answer

Name the physical quantity whose $S.I$ unit is $JC^{-1}$. Is it a scalar or a vector quantity.

asked Apr 21, 2015 by meena.p

1 answer

The force acting between two print charges $q_1$ and $q_2$ kept at some distance apart in air is attractive or repulsive when (i) q_1q_2 > 0 (ii) q_1 q_2 <0$

asked Apr 21, 2015 by meena.p

1 answer

Define the term electric dipole moment . Is it a scalar or a vector quantity ?

asked Apr 21, 2015 by meena.p

1 answer

A dietician wants to develop a special diet using two foods X and Y. Each packet (contains 30g) of food X contains 12 units of calcium , 4 units of iron, 6 units of cholesterol and $6 \;units$ of vitamin A. Each packet of the same quantity of food Y contains 3 units of calcium, 20 units of iron , 4 units of cholesterol and 3 units of vitamin A. The diet requires at least 240 units of calcium , at least 460 units of iron and at most 300 units of cholesterol. Make an LPP to find how many packets of each food should be used to minimise the amount of vitamin A in the diet, and solve it graphically.

asked Mar 23, 2015 by meena.p

1 answer

A dealer deals in two items only - item A and item B . He has $Rs. 50,000$ to inverst and a space to store at most 60 items. An item A cost $Rs. 2500$ and item B costs $Rs. 500$. A net profit to him on item A is $Rs. 500$ and on item B is $Rs. 150$. If he can sell all the items that he purchases , how should he inverst his amount to have maximum profit ? Formulate an LPP and solve is graphically .

asked Mar 23, 2015 by meena.p

1 answer

Assume that the chances of a patient having a heart attack is $40\%$ . It is also assumed that a meditation and yoga course reduces the risk of heart attack by $30\%$ and the prescription of a certain drug reduces its chance by $25\%$ . At a time a patient can choose any one of the two options with equal probabilities . Its given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of mediation and yoga.

asked Mar 23, 2015 by meena.p

1 answer

Find the vector and cartesian equation of the plane passing through the intersection of the planes $\overrightarrow {r} . (\hat i +\hat j+ \hat k)=6$ and $\overrightarrow {r} . (2\hat i +3\hat j+ 4 \hat k)=-5$ and the point $(1,1,1)$

asked Mar 23, 2015 by meena.p

1 answer

Solve the following differential equation , given that $y=0$ , then $ x= \large\frac{\pi}{4}: $$ \sin 2x \large\frac{dy}{dx}$$-y =\tan x$

asked Mar 23, 2015 by meena.p

1 answer

Find the general Solution of the differential equation $\large\frac{dy}{dx}=\frac{y^2}{xy-x^2}$

asked Mar 23, 2015 by meena.p

1 answer

Find the point on the curve $y= \large\frac{x}{1+x^2} $, Where the tangent to the curve has the greatest slope.

asked Mar 23, 2015 by meena.p

1 answer

Using integration , find the area bounded by the curve $y= |x-1|$ and $y= 3-|x|$

asked Mar 23, 2015 by meena.p

1 answer

Show that the relation R in the set $A= [1,2,3,4,5]$ given by $R= [(a,b):|a-b|] $ is divisible by 2. It is an equivalence relation . Show that all the elements of $[1,3,5]$ are related to each other and all the elements of $[2,4]$ are related to each other , but no element of ${1,3,5}$ is related to any element of $[2,4]$

asked Mar 22, 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

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 $ 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

Write a differential equation $y= A \cos \alpha x + B \sin \alpha x$ , where A and B are arbitrary constants .

asked Mar 19, 2015 by meena.p

1 answer

Find the product of the order and degree of the following different equation : $x \bigg(\large\frac{d^2y}{dx^2} \bigg) +\bigg(\large\frac{dy}{dx}\bigg)^2$$+y^2=0$

asked Mar 19, 2015 by meena.p

1 answer

Write a $ 3\times 3$ skew symmetric matrix

asked Mar 19, 2015 by meena.p

1 answer

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