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PQ is an infinite current carrying conductor. AB and CD are smooth conducting rods on which a conductor EF moves with constant velocity V as shown. The force needed to maintain constant speed of EF is (No gravity is there)

A circuit of resistance $5\Omega$ and inductance $0.6H$ is in series with a capacitance of $10\mu F$. If a voltage of $200\text{V}$ is applied and the frequency is adjusted to resonance. The current in the circuit is $I_0$ and voltage across the inductor and capacitor are $V_0$, and $V_1$ respectively. We have

A body starts from rest and acquires a velocity $V$ in time $T$. The work done on the body in time $t$ will be proportional to

Between two stations a train accelerates uniformly at first then moves with constant velocity and then retards uniformly. If the ratio of the time taken is1:8:1,and the maximum speed attained by the train is 60 km per hour ,then what is the average speed of the whole journey?

The plates of a capacitor are separated by 5 mm and they are connected to a battery of 100 volt what will be the force on an electron located between the plates?

Three identical cylinders are kept touching each other as shown in figure. Coefficient of friction between cylinder and surface is $\mu$ whereas, between the cylinders is zero. The minimum value of $\mu$ so that system remains in equilibrium is

Which one of the following graphs shows the variation of acceleration due to gravity with depth h from the surface:

Dimensions of impulse are

Two liquids x and y boil at 110 degrees and 130 degrees Celsius respectively. Which one of them has higher vapour pressure at 50 degree Celsius? Why?

A battery of emf $E_o=12V$ is connected across a 4 m long uniform wire having resistance 4 $\Omega /m$. Two cells of small emfs ${\epsilon }_1=2Vand{\epsilon }_2=4V$ having internal resistance $2\Omega and6\Omega$ 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

A wire is cut into 3 pieces, which are put together parallelly to obtain one conductor. If the original resistance of wire was $R$, the resistance of the new conductor will be

For an object moving with a speed $v$ in front of a plane mirror as shown in the figure, identify the correct diagram representing motion of its image with respect to ground.

Two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ have magnitude $3$ each. $\overrightarrow{A}\times \overrightarrow{B}=-5\hat{k}+2\hat{i}$. Find angle between $A$ and $B$

The moment of inertia of a solid sphere about an axis passing through its centre is $0.4{\text{kg-m}}^2$. If mass of the sphere is kept same, but its density is increased eight times, find the new moment of inertia of the sphere about the same axis.

The potential energy of a certain particle is given by $U=\frac{1}{2}(x^2-y^2)$. The force on it is:

The radius of a planet is $R_1$ and a satellite revolves round it in a circle of radius $R_2$ the time period of revolution is T. find the acceleration due to the gravitation of the planet atits surface.

What is volatility?

A particle of mass 0.3 kg is subjected to a force F = -k x with k = 15 N/m. What will be its initial acceleration if it is released from a point x = 20 cm ?

Can the momentum of a isolated system can be change without any external force.?

The term open circuit means

a train is moving on a cicular curve of radius 1500m at the rate of 66km/h .through what angle has it turned in 10seconds

Two bodies of masses $10\text{kg}$ and $2\text{kg}$ are moving with velocities $2\hat{i}-7\hat{j}+3\hat{k}$ and $-10\hat{i}+35\hat{j}-3\hat{k}\text{m/s}$ respectively. The velocity of their centre of mass is

The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height $h$ from rest, without sliding is

An ideal gas undergoes a reversible process in which the pressure varies linearly with volume. The condition at the start and at the end of the process with usual notation are: $P_1=100\text{kPa},V_1=0.2{\text{m}}^3$ and $P_2=150\text{kPa},V_2=0.1{\text{m}}^3$ and the gas constant $R=8.314\text{J/mol K}$. The magnitude of the work required for the process is

The rate of heat radiation from two patches of skin of equal area on a patient's chest differs by $2\%$. If one of the patches is at $300K$ and both the patches is assumed to be blackbody, the temperature of other patch will be

Choose the correct answer in the following questions :
A cylindrical tank of radius 10 m is being filled with wheat at the rate 314 cubic m per h. Then, the depth of the wheat is increasing at the rate of
(a) 1 cubic $\frac{m}{h}$ (b) 0.1 cubic $\frac{m}{h}$
(c) 1.1 cubic $\frac{m}{h}$ (d) 0.5 cubic $\frac{m}{h}$

A ball is projected from the ground with a speed $u$ making an angle $\theta$ with the horizontal. Which of the following graphs correctly represents the variation of angle between the velocity and acceleration vectors with time.
[If $T$ is the time of flight]

A circular plate of uniform thickness has a radius, $a=10\text{cm}$. A circular portion of radius, $b=1\text{cm}$ is removed from the plate as shown in figure. Find the position of center of mass of the remaining part of the circular plate. (Take $\text{O}$ to be the origin)

Maximum value of $f\left(x\right)=\sin x+\cos x$ is

Two large vertical and parallel metal plates having a separation of $1\text{cm}$ are connected to a DC voltage source of potential difference $X$. A proton is released at rest midway between the two plates. It is found to move at ${45}^{\circ }$ to the vertical just after release. Then $X$ is nearly

A student measures the time period of $100$ oscillations of a simple pendulum four times. The data set is $90s,91s,95s$ and $92s$. If the minimum division in the measuring clock is $1s$, then the reported mean time should be

A proton, a deuteron and an $\alpha$ - particle having same momentum enters a region of uniform magnetic field. Relation between radius of there trajectories is best given by

A drilling machine of 10kW power is used to drill a bore in a small aluminium block of mass 8kg. If 50% of power is used up in heating the machine itself of lost to the surroundings then how much is the rise in temperature of the block in 2.5 min(given: specific heat of aluminium=0.91 $J/g^{\circ }C$)?

A simple pendulum is suspended to roof of a car. The car is moved with uniform velocity ${}^{\prime }{v}^{\prime }$. If the string makes an angle ${}^{\prime }{\theta }^{\prime }$ with vertical, ${}^{\prime }{\theta }^{\prime }$ will be equal to :

Find the maximum force that should act on the $1\text{kg}$ body for the system to accelerate together with $2{\text{m/s}}^2$. Take $g=10{\text{m/s}}^2$.

A beaker is filled with liquid having surface tension $0.07\text{N/m}$. If a bubble of radius $0.5\text{mm}$ is formed at depth $h=1\text{m}$ below the free surface, then find difference between the pressure acting inside the bubble and free surface.
(Density of liquid is $1000{\text{kg /m}}^3)$

What is the magnitude of the deformation force?how does it vary?and please explain it with an example.

a block of mass 5 kg is at rest on a smooth horizontal surface water coming out of a pipe horizontally at a rate of 2 kg per second hits the Block with a velocity of 6 metre per second the initial acceleration of the block

11.2 L of NH3 at STP has electrons.

1 . 3.01 * 10^21

2. 3.01 * 10^24 pls explain with answer

An elevator is descending with uniform acceleration. To measure the acceleration, a person in the elevator drops a coin at the moment the elevator starts. The Coin is 6 ft above the floor of the elevator at the time it is dropped. The person observes that the coin strikes the floor in 1 second. calculate from these data the acceleration of the elevator.

Which one is correct for a cyclic process as shown in the figure?

The famous Big Ben clock tower in London has hour hand of approximate length $10$ feet. Calculate the magnitude of change in velocity of the tip of the hour hand of Big Ben in $6$ hours $(1feet=0.305m)$

The time period of simple pendulum is T. When the length increases by 10 cm, its period is $T_1$. When the length is decreased by 10 cm, its period is $T_2$ .Then the relation between T, $T_1$ and $T_2$ is