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A particle of mass $m$ and charge $q$ is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed $v$ on the distance $x$ travelled by it is correctly given by (graphs are schematic and not drawn to scale)

A beam of light consists of five wavelengths $4000\stackrel{\circ }{A},4800\stackrel{\circ }{A},6000\stackrel{\circ }{A},7000\stackrel{\circ }{A}and7800\stackrel{\circ }{A}$. The light beam is falling normally over a metal surface of area ${10}^{-4}{m}^2$ with a work function of 1.9 eV. Intensity of light beam is $7.5\times {10}^{-3}W/m^{-2}$, which is equally divided among the constituent wavelengths. If there is no loss of light energy, number of photoelectrons emitted per second is

Name the type of magnet which is formed when subjected to an electric current.

A solid metallic sphere of radius $r$ is allowed to fall freely through air. If the frictional resistance due to air is proportional to the surface area and to the square of the velocity, then the terminal velocity of the sphere is proportional to which of the following ?

$\int \frac{2x^{12}+5x^9}{(x^5+x^3+1{)}^3}dx$ is equal to

(where $C$ is constant of integration)

The following figure shows two shells of masses $m_1$ and $m_2$. The shells are concentric. At which point, a particle of mass $m$ shall experience zero force?

A pendulum of length $1m$ hangs from an inclined wall. Suppose that this pendulum is released at an initial angle of ${10}^{\circ }$ and it bounces off the wall elastically when it reaches an angle of $-5^{\circ }$ as shown in the figure. Take $g={\pi }^{2}m/s^2$. The period of this pendulum is (in second)

An object of height $2\text{cm}$ is placed on the principal axis of a concave mirror at a distance of $12\text{cm}$ from the pole. If the image is real, inverted and $5\text{cm}$ high, then location of the image and the focal length of the mirror is

A copper sphere is suspended in an evacuated chamber maintained at $300\text{K}$. The sphere is maintained at a constant temperature of $500\text{K}$ by heating it electrically. A total of $300\text{W}$ of electric power is needed to do it. When half of the surface of the copper sphere is completely blackened, $600\text{W}$ is needed to maintain the same temperature of the sphere. Calculate the emissivity of copper.

A force $F=(10+0.5x)$ acts on a particle in the $x$ direction, where $F$ is in $\text{newton}$ and $x$ is in$\text{metre}$. Find the work done by this force during the displacement from $x=0$ to $x=2.0\text{m}$

Two heavy spheres each
of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a
horizontal table. What is the gravitational force and potential at
the mid point of the line joining the centers of the spheres? Is an
object placed at that point in equilibrium? If so, is the equilibrium
stable or unstable?

Why don't we get maximum current (saturation current) at 0 potential

Why some of the leaves detached from a tree , if we vigorously shake it's branch

If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by the factor

Two conducting wires are joined together and are moving in a magnetic field perpendicular to the plane of the wires, as shown in the figure. Find the induced emf developed across the ends $O$ and $Q$.

The amount of energy radiated by a body depends upon

In the given figure, the initial and final states of a gas are shown by points $i$ and $f$. The internal energy of the gas at $i$ is $10\text{J}$.
For the path $iaf$ : $\Delta Q=50\text{J}$ and $\Delta W=20\text{J}$.
For the path $ibf$, if $\Delta Q=36\text{J},$ the value of $\Delta W$ will be equal to

Which graph represents the variation of surface tension with temperature over small temperature ranges for water

A trolley is accelerating down an incline of angle $\theta$ with acceleration $g\sin \theta .$ Which of the following is correct? $(\alpha$ is the constant angle made by the string with vertical)

For the reaction $N_2+3H_2\to 2N{H}_3$, the rate of disappearance of $H_2\text{is}0.01\text{mol}{\text{L}}^{-1}{\text{min}}^{-1}$. The rate of appearance of $N{H}_3$ would be:

Is the power in series and parallel different for other appliances like when we connect bulbs in series we take it inversely proportional to resistance but for others we take it directly proportional?

Light of wavelength $6000\stackrel{\circ }{A}$ is incident normally on a single slit of width $24\times {10}^{-5}cm$. Find the angular position of second minimum from central maxima.

A jet of water with cross sectional area ‘a’ is striking against a wall at an angle $\theta$ to the horizontal and rebounds elastically. If the velocity of water jet is v and the density is $\theta$, the normal force acting on the wall is:

Which one of the following would raise the temperature of 20 g of water at 30⁰C most when mixed with? (Specific heat of water is 1 cal/g ⁰ C)

A number of capacitors, each of equal capacitance $C$, are arranged as shown in the figure. The equivalent capacitance between A and B is