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The frequency of a transverse wave is $25Hz$. What is its time period?

A particle of mass $0.2\text{kg}$ is moving in one dimension under a force that delivers a constant power of $0.5\text{W}$ to the particle. If the initial speed (in ${\text{ms}}^{-1}$) of the particle is zero, then the speed (in ${\text{ms}}^{-1}$) of the particle after $5\text{s}$ is:

A sinusoidal voltage of peak value $200\text{V}$ is connected to a diode and resistor $R$ in the circuit shown so that half wave rectification occurs. If the forward resistance of the diode is negligible compared to $R$, the rms value of voltage across $R$ in volts is approximately

A circuit consists of eight identical batteries and a resistor $R=0.8\Omega$. Each battery has an open circuit emf of $1.0\text{V}$ and internal resistance of $0.2\Omega$. The voltage difference across any of the battery is

A particle is performing SHM in a straight line. If the velocities of the particle are $v_1$ and $v_2$ at displacements $x_1$ and $x_2$ respectively, the angular frequency of the particle is

A capacitor is charged and then made to discharge through a resistance. The time constant is $\tau$. In what time will the potential difference across the capacitor decreases by $10\%$ ?

If $W_1,W_2$ and $W_3$ represent the works done in moving a particle from $\text{A}$ to $\text{B}$ along three different paths $\text{1, 2}$ and $\text{3}$ respectively, (as shown in the figure) in the gravitational field of a point mass $m$, find the correct relation between $W_1,W_2$ and $W_3$.

In the figure shown, find the tension $T$ in the string if the system is in equilibrium.

A ball is projected with kinetic energy E at an angle of ${45}^{\circ }$ to the horizontal. At the highest point during its flight, its kinetic energy will be

Two spherical conductors of capacitance $3\mu \text{F}$ and $5\mu \text{F}$ are charged to potentials of $300\text{Volt}$ and $500\text{Volt}$. The spheres are then connected, then the final charge on $3\mu \text{F}$ and $5\mu \text{F}$ capacitors respectively will be:

1. 10

A vibrating tuning fork generates a wave given by $y=0.1\sin \pi (0.1x-2t)$ where $x$ and $y$ are in $\text{metre}$ and time $t$ in $\text{second}$. The distance travelled by the wave while the fork completes $25$ vibrations is

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

A circular loop of radius $R$ carries a current of $5\text{A}$. If the magnetic field $B$ at the centre is $0.02\text{mT}$. The magnetic field at the centre of the loop if the radius of it is increased by $\frac{\pi }{2}\text{m}$ keeping current same is

In a Young's double slit experiment, the distance between the $3^{\text{rd}}$ bright fringe and $6^{\text{th}}$ dark fringe both lying on the same side of the central maximum is $3\text{mm}$. What is the distance of $2^{\text{nd}}$ dark fringe from the central maximum?

The velocity of a particle varies with time at $v\left(t\right)=e^{-2\pi t}$. Find the displacement of the particle till $t=(\frac{1}{2\pi })$ sec.

A uniform rod of length L lies on a smooth horizontal table. A particle moving on the table strikes the rod perpendicularly at an end and stops. Find the distance traveled by the centre of the rod by the time it turns through a right angle. Show that if the mass of the rod is four times that of the particle, the collision is elastic.

A thin uniform rod of length $l=60cm$ is oscillating about an axis passing through its one end in vertical plane. If rod is released from extreme position, then time required by rod to become vertical will be

The refracting angle of a prism is A, and refractive index of the material of the prism is cot $\left(\frac{A}{2}\right)$. The angle of minimum deviation is :

Two persons are holding a rope of negligible weight tightly at its ends so that it is horizontal. A 15kg weight is attached to the rope at the mid-point. The minimum tension required to completely straighten the rope is

If a = b + c ( vectorially ) and the magnitude of A, B and C (vectors) are 13,12 and 5 units then the angle between a and c is

The percentage increase in the impedance of an ac circuit, when its power factor changes from $0.866$ to $0.5$ is- (Resistance constant)

Temperature variation under steady state heat conduction across a composite slab of two materials with thermal conductivities $K_1$ and $K_2$ having same cross sectional area is shown in figure. Choose the correct statement.

A charge $q=1\mu C$ is placed at point $(1\text{m},2\text{m},2\text{m})$. Find the magnitude of electric field at point $(0\text{m},1\text{m},1\text{m})$

In an electromagnetic wave the electric field vector and magnetic field vector are given as $\overrightarrow{E}=E_0\hat{i}$ and $\overrightarrow{B}=B_0\hat{k}$ respectively. The direction of propagation of electromagnetic wave is along :

A
point charge causes an electric flux of −1.0 × 10³
Nm²/C
to pass through a spherical Gaussian surface of 10.0 cm radius
centered on the charge. (a) If the radius of the Gaussian surface
were doubled, how much flux would pass through the surface? (b) What
is the value of the point charge?

The horizontal range of a projectile is R and maximum height attained by it be H. A strong wind now begins to blow in the direction of horizontal motion of projectile, giving it a constant acceleration equal to g. Under the same conditions of projection, the new range is______-_

A body starts from origin and moves along x - axis such that at any instant velocity is $v_t$ = 4 $t^3$ - 2t where t is in seconds $v_t$ is m $s^{-1}$ .

The acceleration of the particle when it is 2 m from the origin is 11 x m $s^{-1}$ , where x is

Starting from the mean position a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy ?

A swimmer crosses the river along the line making an angle of ${45}^{\circ }$ with the direction of flow. Velocity of the river water is $5\text{m/s}$. Swimmer takes 6 seconds to cross the river of width $60\text{m}$. The magnitude of velocity of the swimmer with respect to river will be