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A conducting square frame of side ‘a‘ and a long straight wire carrying current I are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity ‘V‘. The emf induced in the frame will be proportional to :

A battery of emf $E_0$ = 12 V is connected across a 4m long uniform wire having resistance 4$\Omega$/m. The cells of small emfs $E_1$=2V and $E_2$=4V having internal resistance 2$\Omega$ and 6$\Omega$ respectively, are connected as shown in the figure. If galvanometer shows no deflection at the point N, the distance of point N from the point A is equal to

The orbital velocity of electron in the ground state is $\upsilon$ . If the electron is excited to energy state -0.54eV,

The electric field due to a uniformly charged solid insulated sphere of radius R as a function of the distance from its centre is represented graphically by

Two hails stones with radii in the ratio of 1 : 2 fall from a great height through the atmosphere. Then the ratio of their momentum after they have attained terminal velocity is:

Two forces are such that the sum of their magnitude is 18N and their resultant which has magnitude 12N, is perpendicular to the smaller force. Then the magnitudes of the forces are

Two small beads P and Q of equal mass ( = m) are connected by a light inextensible string. They are constrained to move on a frictionless ring in a vertical plane. The blocks are released from rest as shown in the figure. The tension in the string just after release is

A taut string for which $\mu =15\times {10}^{-2}\text{kg/m}$ is under a tension of $240\text{N}$. How much power must be supplied to the string to generate sinusoidal waves at a frequency of $18.0\text{Hz}$ and an amplitude of $18\text{cm}$?

Two smooth blocks of masses $m_1$ and $m_2$ attached with an ideal spring of stiffness $k$ and kept on a horizontal surface. If $m_1$ is projected with a horizontal velocity $v_0$. Find the maximum compression of the spring.

A cylindrical vessel containing a liquid is closed by a smooth piston of mass $m$ as shown in the figure. The area of cross-section of the piston is $A$. If the atmospheric pressure is $P_o$, find the pressure of the liquid just below the piston.

Initially three bodies of mass $2m,2m$ and $3m$ are placed on the $x$-axis at position $x=1,x=2$ and $x=4$. If a body of mass $4m$ is placed at origin, then find the displacement of centre of mass from initial position.

A string is wrapped on the surface of a solid cylinder as shown in the figure. If the cylinder is released, then find the acceleration of the centre of mass of the cylinder and the tension in the string respectively. Mass of the cylinder is $M$ and radius is $r$. (No slipping occurs between any contact points)

Starting with a sample of pure ${}^{66}Cu,\frac{7}{8}$ of it decays into $Zn$ in $15$ min. The corresponding half- life is

An electrician has 2 resistor coil. He can obtain resistance 3 ohm, 4 ohm, 12 ohm and 16 ohm by keeping them alone and by connecting them in series and parallel. The resistance of these coils are how much in ohms?

A charged particle is released from rest in a region of steady uniform electric and magnetic fields which are parallel to each other. The particle will move in a

Water drops falls from a tap at an interval of $2\text{second}$. Find out the position of $1^{st}$ drop when $6^{th}$ drop just leaves

A solid sphere of radius $R$ made of a material of bulk modulus $B$ is surrounded by a liquid in a cylindrical container. A massless piston of area $A$ floats on the surface of the liquid. Find the fractional decrease in the radius of the sphere $\left(\frac{\Delta R}{R}\right)$, when a mass $M$ is placed on the piston to compress the liquid.

Two particles are executing SHM, one with angular frequency $\omega$ and the other with ${}^{\prime }2{\omega }^{\prime }$, which of the following $v-x$ graph correctly represent simple hormonic motions of two particles of same amplitude.

A body is thrown with velocity $20m/s$ at an angle of ${60}^{\circ }$ with the horizontal. The time gap between the two positions of body where velocity of body makes an angle of ${30}^{\circ }$ with horizontal is
(Take $g=10m/s^2$)

If the radius of sphere is measured as 9m with an error of 0.03 m, then find the approximate error in calculating its surface area.

A ball is thrown vertically upwards with a velocity of 20 metre per second from the top of a multi storey building .The height of the point from where the ball is thrown is 25 m from the ground .

How high will the ball rise and how long will it be before the ball hits the ground ?

Take g = 10 m/s

I got X - X_{​​​​​​0} as 20 m . Is this the distance ball rised or is that X ?

Thank 😺 You

A body moves a distance of $5\text{m}$ along a straight line under the action of a force of $15\text{N}$. If work done by this force is $45\text{J}$, the angle which the force makes with the direction of motion with the horizontal is

Water falls from a height of $80\text{m}$ at the rate of $20\text{kg/s}$ to operate a turbine. The losses due to frictional force are $20$ % of the energy. How much power is generated by the turbine? $(g=10\frac{m}{s^2})$

At absolute zero , K.E =(3/2)RT ?

A pendulum executes SHM. The acceleration of the bob of pendulum is ${\pi }^2{\text{m/s}}^2$ at a distance of $2\text{m}$ from the mean position. Find the time period of oscillation.

A body moving in a circular path with a constant speed has a ________

There is a fire in the building which is started from its rooftop and is rapidly growing. Assuming that the water projected from hose behaves as a projectile, how far from that building should the fire hose be located to hit the highest possible height that it can hit. Given hose pipe is adjusted such that water leaves at a fixed angle with the horizontal at speed u m/s?

Figure (38-E26) shows a straight, long wire carrying a current i and a rod of length l coplanar with the wife and perpendicular to it. The rod moves with a constant velocity u in a direction parallel to the wire. The distance of the wire from the centre of the rod is x. Find the motional emf induced in the rod.

why is it so that when the diametre of a conductor is doubled,then drift velocity of electrons inside it will not change

A body moves such that its position varies with time according to $x\left(t\right)=3t^2$. What is its velocity at=3sec?

What is the difference between rate of change of position over time and rate of change of displacement over time??

Are they the same thing called velocity?

The density of a gas filled electric lamp is $0.75kg/m^3$ , increases from $4\times {10}^{4}Pa$ to $9\times {10}^{4}Pa$. What is increases in URMS ?

A tall cylinder is filled with viscous oil. A round pebble is dropped from the top with zero initial velocity. From the plot shown in the figure, indicate the one that represents the velocity $\left(v\right)$ of the pebble as a function of time $\left(t\right)$.

It was said gravity is the weakest force in existence..is it weaker than Vanderwaal’s force of attraction?

Two planets of equal mass orbit a much more massive star (figure). Planet $m_1$ moves in a circular orbit of radius $1\times {10}^8$ km with period 2 year. Planet $m_2$ moves in an elliptical orbit with closest distance $r_1=1\times {10}^8$ km and farthest distance $r_{2}1.8\times {10}^8$km, as shown. Using the fact that mean radius of an elliptical orbit is the length of the semi-major axis, find the period of $m_2^{{}^{\prime }}$ s orbit.

The bulk modulus of a sphere is ${}^{\prime }{K}^{\prime }$. If it is subjected to uniform pressure ${}^{\prime }{p}^{\prime }$ then fractional decrease in its radius is

Velocity of sound in air is 332 m/s. Its velocity in vacuum will be

A very small hole is made at the bottom of a tank filled with water (density $=1000{\text{kg/m}}^3$). If the total pressure at the bottom of the tank is $3\text{atm}$ $(1\text{atm}={10}^5{\text{N/m}}^2)$, then the velocity of efflux is:
Take $g=10{\text{m/s}}^2$.

How do magnetic fields formed ?

Consider a neutral conducting sphere .a positive point charge is placed out side the sphere the net charge on the sphere is

A) negative and disturbed uniformly over the surface of the sphere

B) negative and appears only at the point on the sphere closest to the point charge

C) negative and distributed non uniformly over the entire surface of the sphere

D) zero

A Simple pendulum having a Bob of mass M is suspended from the ceiling of a car used in stunt film shooting in a car moves up along an inclined Cliff at a speed v and makes a jump to leave the Cliff and lands at some distance. let r be the maximum height of the car from the top of the Cliff. the tension in the in the string when the car is in air..plz explain with a figure.