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The connections shown below is established with the switch $\text{S}$ which is open at present. How much charge will flow through the swiitch if it is closed?

Find the net electric field at an axial point $\text{P}$ of a dipole as shown in figure.

Find the equivalent capacitance across points $\text{A}$ and $\text{B}$. All the capacitors have capacitance $C$.

More than One Answer Type

एक से अधिक उत्तर प्रकार के प्रश्न



If $\frac{a}{b+c},\frac{b}{c+a}and\frac{c}{a+b}$ are in A.P. where a, b, and c are positive integers, then which of the following are in A.P.?



यदि $\frac{a}{b+c},\frac{b}{c+a}$ तथा $\frac{c}{a+b}$ स.श्रे. में हैं, जहाँ a, b व c धनात्मक पूर्णांक हैं, तब निम्न में से कौनसा/कौनसे विकल्प स.श्रे. में है/हैं?

Water flows in a horizontal tube (see figure). The pressure of water changes by $700{\text{Nm}}^{-2}$ between $A$ and $B$, where the areas of cross-section are $40{\text{cm}}^2\text{and}20{\text{cm}}^2$, respectively. Find the rate of flow of water through the tube. (density of water $=1000{\text{kgm}}^{-3}$)

On interchanging the resistances, the balance point of a meter bridge shifts to the left by $10\text{cm}$. The resistance of their series combination is $1\text{k}\Omega$. How much was the resistance on the left slot before interchanging the resistance ?

A particle is moving with constant speed over circle $x^2+y^2=50$, with speed $\sqrt{10}m/s$. Acceleration of the particle, when it is at point $(5,5)$ in $m/s^2$ is

In an elastic collision in one dimension if a body A collides against the body B of equal mass at rest, then the body A will

Calculate the ratio of kinetic energy of alpha particles and proton when they are placed in electric field E.

During a projectile motion, if the maximum height equals the horizontal range, then the angle of projection with the horizontal is

Three-fourth of the active nuclei present in a radioactive sample decay in $\frac{3}{4}\text{s}$. The half-life of the sample is

The relation between $R$ and $r$ for which the power consumed in the external part of the circuit is maximum.

Air streams flows horizontally past an air plane. The speed over the top surface is $50\text{m/s}$ and that under the bottom surface is $40\text{m/s}$. If the density of air is $1.2{\text{kg/m}}^3$, then the difference in pressure across the plane is

The kinetic energy of moon with respect to earth is K. The magnitude of gravitational potential energy of the moon earth system is U with zero potential energy at infinite separation is,

A child stands on the edge of a merry-go-round as shown below. The rotational inertia of the merry-go-round about its rotation axis is $150{\text{kg-m}}^2$. The child catches a ball of mass $1.0\text{kg}$ thrown by a friend. What is the angular speed of the merry-go-round just after the ball is caught?

The resultant of two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ subtends an angle of ${45}^{\circ }$ with either of them. The magnitude of the resultant is

Derivative of $f\left(x\right)=e^x\sin \left(\sqrt{x}\right)$ is

Three blocks of mass $10\text{kg}$, $5\text{kg}$ and $8\text{kg}$ are connected to each other with a light string and placed on a wedge with angle of inclination ${30}^{\circ }$. A force F applied on the string causes all the three blocks to move with a common acceleration of $2m/s^2$. If the coefficient of friction between the blocks and the surface of the wedge is $0.2$, then what is the tension at the three points $A,B$ and $C$?

List one gives certain physical quantity and List - II gives there magnitude.







$\begin{array}{cc}\text{List - I}& \text{List - II}\\ \text{(I) Acceleration of 2 kg}& \text{(P) 0}\\ \text{(II) Acceleration of 4 kg}& \text{(Q) 3}\\ \text{(III) Acceleration of 6 kg}& \text{(R) 6}\\ \text{(IV) Friction between 2 kg \& 4 kg}& \text{(S)}\frac{8}{3}\\ & \text{(T)}\frac{16}{3}\\ & \text{(U)}\frac{18}{5}\end{array}$

If external force of 40 N is applied horizontly on 4 kg block, Correct match for acceleration and friction is

Two non-collinear unit vectors $\overrightarrow{a}\text{and}\overrightarrow{b}$ are such that $\left[\overrightarrow{r}\overrightarrow{a}\overrightarrow{b}\right]=\frac{7}{4}\text{and}\overrightarrow{r}(4\overrightarrow{a}+5\overrightarrow{b})=0$.

Let ${\int }_{-2\overrightarrow{r}\text{.}\overrightarrow{a}}^{-\frac{5}{2}\overrightarrow{r}\text{.}\overrightarrow{b}}\frac{x+1}{x^2+1}dx=\frac{\pi }{2}$, angle between $\overrightarrow{a}\text{and}\overrightarrow{b}$ is such that ${\left|\overrightarrow{r}\right|}^2-\frac{3}{4{|\overrightarrow{a}\times \overrightarrow{b}|}^2}$ attains maximum value, can be represented as a linear combination of $\overrightarrow{a}\text{and}\overrightarrow{b}$ as

The binding energy per nucleon of ${}_3^7\text{Li}$ and ${}_2^4\text{He}$ nuclei are $5.60\text{MeV}$ and $7.06\text{MeV}$,respectively. In the nuclear reaction ${}_3^7\text{Li}{+}_1^1\text{H}\to {}_2^4\text{He}+Q,$ the value of energy $Q$ released is

The electric potential varies in field as $V=3x+4y$. A particle of mass $0.1\text{kg}$ starts from rest from a point $(2,3.2)$ under the influence of this field. If the charge on the particle is $1\mu \text{C}$ and $V(x,y)$ are in SI units, then the velocity of the particle when it crosses the $x-$ axis is

Four particles of masses $m_1,m_2,m_3$ and $m_4$ are placed at the vertices A,B,C and D of a square as shown respectively. The COM of the system will lie on diagonal AC if:

A ball of mass $m$ kept at the centre of a long string of length $L$ is pulled from the centre in a perpendicular direction and released. The time period of ball for small oscillations is

($T^{\prime }$ is tension in the string)

1. 60

A simple pendulum has a time period $T_1$ when on the earth's surface and $T_2$ when taken to a height $R$ above the earth's surface, where $R$ is the radius of the earth. The value of $T_2/T_1$ is :

If $x=a{t}^2+bt+c$, where $x$ is the distance travelled by the body in kilometers while $t$ is the time in seconds, then the unit of $c$ is

A motor car has a width $1.1\text{m}$ between wheels. Its centre of gravity is $0.62\text{m}$ above the ground and the coefficient of friction between the wheels and the road is $0.8$. What is the maximum possible speed, if the centre of gravity inscribes a circle of radius $15\text{m}$ ? (Road surface is horizontal)

The main scale reading of a vernier calliper is obtained as 3.2 cm for an object placed in it. If the 4th division of the vernier scale coincides with a division on the main scale, and the magnitude of the positive zero error is 0.03 cm, what is the true length of the object in cm? Take L.C. = 0.01 cm.

Identify the correct order of temperature as indicated in given diagram for same gas.