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What is the angle between a vector and its negative vector?

What is a solenoid and what is its function?

A mass $m$ rests on a horizontal surface. The coefficient of friction between the mass and the surface is $\mu$. If the mass is pulled by a force $F$ as shown in figure, the limiting friction between mass and the surface will be

Two balls of mass $3\text{kg}$ and $6\text{kg}$ are moving towards each other with velocities $6\text{m/s}$ and $3\text{m/s}$ respectively on a frictionless surface. After colliding, the $3\text{kg}$ ball returns with velocity $3\text{m/s}$. Velocity of $6\text{kg}$ ball (after collision) and coefficient of restitution are respectively:

A block is kept on a frictionless inclined surface with angle of inlcination $\alpha$. The inclined wedge is given an acceleration $a$ to keep the block stationary with respect to the inclined plane. Then magnitude of acceleration $a$ is equal to

A charge of 5C experiences a force of 5000N when it is moved in a uniform electric field. The potential difference between two points separated by a distance of 1cm is?

What is the sum of all the forms of energies that a system possess?

The period of a body under $\text{SHM}$ is represented by $T=P^a{D}^b{S}^c$, where $P$ is pressure, $D$ is density and $S$ is surface tension. The value of $a,b$ and $c$ are

A cubical block of steel of each side equal to $l$ is floating on mercury in a vessel. The density of steel is ${\rho }_s$ and that of mercury is ${\rho }_m$. The height of the block above the mercury level is given by

If wavelength is equal to the distance travelled by the electron in one second, then:

A storage tank contains $2$ moles of $Ar,3$ moles of $O_2$, $5$ moles of $N_2$. If volume of tank is $1{\text{m}}^3$, find the total pressure exerted by mixture of gases at $300\text{K}$?

A balloon of diameter 2 meter weight 100 kg. Calculate its pay-load, if it is filled with He at 1.0 atm and ${27}^{\circ }$C. Density of air is 1.2 kg m-3. (Given: R = 0.082 L atm $K^{-1}$ ${mol}^{-1}$)

Find the moment of inertia (in ${\text{kg-m}}^2$) of a hollow cylinder of radius $3\text{m}$ and mass $3\text{kg}$, about an axis passing through the centre of the hollow cylinder. [Assume thickness of the hollow cylinder to be small]

Four nuclei of an element undergo fusion to form a heavier nucleus, with release of energy. whichof the 2 -the parent or the daughter nucleus would have higher binding energy per nucleon?

Choose the correct answer
Let a and b be two unit vectors and $\theta$ is the angle between them. Then, a + b is a unit vector, if

a) $\theta =\frac{\pi }{4}$
b) $\theta =\frac{\pi }{3}$
c) $\theta =\frac{\pi }{2}$
d) $\theta =\frac{2\pi }{3}$

The frictional force acting on $1kg$ block will be:

A charge of +10 µC enters a uniform magnetic field parallel to its direction. What will happen to the charge?

A particle is moving in the $x-y$ plane with uniform speed $v$. The equation of trajectory for the particle is represented by the parabola $y=a{x}^2,$ where $a$ is a $+ve$ constant. Find the radius of curvature of trajectory at the point $x=0$.

A ring of mass m and radius 'r' is mounted on a light rod which is suspended by means of two string. Find the tension in the strings if the ring carries a current i and a vertical magnetic field $\beta$ exists. Given
$(\frac{i{a}^{2}B}{l}=\frac{mg}{2\pi })$.

For the circuit shown in following fig., which of the following statements is true?

Where does the energy of a capacitor reside?

A particle is moving in a circle with uniform speed v. In moving from a point to another diametrically opposite point

A black metal foil is warmed by radiation from a small sphere at temperature $‘T^{\prime }$ and at a distance $‘d^{\prime }$. It is found that the power received by the foil is $P$. If both the temperature and distance are doubled, the power received by the foil will be :

The elements of sets A , B and C are all colours as follows:

A = { Red , Orange , Yellow , Brown } ,

B = { Blue , Yellow , Green , Brown } ,

C = { Black , Brown , White , Grey }

Then, A U B U C is

If $M$ is the mass of water rises in a capillary tube of radius $r$, then what will be the mass of water which will rise in a capillary tube of same material having radius $2r$?

A small object is placed at the centre of the bottom of a cylindrical vessel of radius 3 cm and height 4 cm filled completely with water. Consider the ray leaving the vessel through a corner. Suppose this ray and the ray along the axis of the vessel are used to trace the image. Find the apparent depth of the image and the ratio of real depth to the apparent depth under the assumptions taken. Refractive index of water = 1.33.

If 900J/g of heat is exchanged at boiling point of water then what is increase in entropy?

A load of 4.0 kg is suspended from a ceiling through a steel wire of radius 2.0 mm. Find the tensile stress developed in the wire when equilibrium is achieved. Take $g=3.1\pi m{s}^{-2}.$

A TV tower has a height of $100m$. How much population is covered by the TV broadcast if the average population density around the tower is 1000 $k{m}^{-2}$ ? (radius of earth = 6.4 $\times$${10}^6$ $m$).

A particle is moving in a circular path of radius r. The displacement after half a circle would be:

The direction of current is ___ the direction of movement of electrons in a current carrying conductor.

The force on a charged particle due to electric and magnetic fields is given by $\overrightarrow{F}=q\overrightarrow{E}+q\overrightarrow{v}\times \overrightarrow{B}$. Suppose \vec{E} is along the X-axis and $\overrightarrow{B}$ along the Y-axis. In what direction and with what minim.um speed v should a positively charged particle be sent so that the net force on it is zero?

A motor cyclist moving with a velocity of 72 km/hour on a flat road takes a turn on the road at a point where the radius of curvature of the road is 20 meters. The acceleration due to gravity is 10 $m/se{c}^2$. In order to avoid skidding, he must not bend with respect to the vertical plane by an angle greater than

With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is $\frac{2}{3}$ of his weight

Two long bar magnets are placed with their axes coinciding in such a way that the north pole of the first magnet is 2.0 cm from the south pole of the second. If both the magnets have a pole strength of 10 Am, find the force exerted by one magnet on the other.

Magnifying power of a simple microscope is (when final image is formed at D = 25 cm from eye)

[MP PET 1996; BVP 2003]

In planetary motion the areal velocity of position vector of a planet depends on angular velocity $\left(\omega \right)$ and the distance of the planet from sun (r). If so the correct relation for areal velocity is

The friction of the air causes vertical retardation equal to one tenth of the acceleration due to gravity (Take g = $10m{s}^{-2}$). The time of flight will be decreased by

A thin spherical shell lying on a rough horizontal surface is hit by a cue in such a way that the line of action passes through the centre of the shell. As a result, the shell starts moving with a linear speed v without any initial angular velocity. Find the linear speed of the shell after it starts pure rolling on the surface.

The initial velocity of a projectile of mass 1 kg is given by $u=(\hat{i}+\sqrt{3}\hat{j})m/s$. What is the time of flight?