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A particle moves with constant angular velocity in a circle. During the motion its

An electrical system has open-closed switches $S_1,S_2,\text{and}{S}_3$ as shown in fig



The switch operate independently of one another and the current will flow $A$ to $B$ either if $S_1$ is closed or of both $S_2\text{and}{S}_3$ are closed. If $P\left(S_1\right)=P\left(S_2\right)=P\left(S_3\right)=\frac{1}{2}$, then the probability that the circuit will work is:

Derive an expression for coefficient of viscosity?

A point mass m is situated inside a thick spherical shell of mass M, inner radius R and outer radius 2R. Work required to take this mass m from inside the shell to infinity, slowly is

The momentum of the photon of wavelength $5000\dot{A}$ will be

A football is kicked at an angle θ = 45∘. It is intended that the ball lands in the back of a moving truck, which has a trunk of length L = 5 m. If the initial horizontal distance from the back of the truck to the ball, at the instant of the kick is 5 m & the truck moves directly away from the ball at velocity V = 9 m/s. What is approximate maximum & minimum velocity (in m/s) so that ball lands on the truck? (Assume the ball & back of the truck to be at the same horizontal level)

A block is released from a height $h=5m$. After travelling through the smooth curved surface, it moves on the rough horizontal surface through a length $l=8$ $m$ and climbs onto the other smooth curved surface through a height $h^{\prime }$

. If $\mu =0.5$, then $h^{\prime }$ is

$m$.

The equation of a standing wave, produced on a string fixed at both ends, is

$y=\left(0.4cm\right)sin\left[\right(0.314c{m}^{-1}\left)\right]cos\left[\right(600\pi s^{-1}\left)\right]$.

What could be the smallest length of the string ?

For the given close packed structure of a salt made of cation $X$ and anion $Y$ shown below (ions of only one face are shown for clarity), the packing fraction is approximately

$\text{packing fraction =}\frac{\text{packing efficiency}}{100}$

If the maximum speed of the photoelectron emitted from a potassium surface $(\varphi =2.3\text{eV})$ is ${10}^6{\text{ms}}^{-1}$. What should be the frequency of the incident radiation?

A point moves with uniform acceleration and$v_1,v_{2}and{v}_3$ denote the average velocities in the three successive intervals of time $t_1,t_{2}and{t}_3$ Which of the following relations is correct

18.72 g of substance x 1.81 cm^3 What will be the density measured in correct significant figures

Correct expression for water potential of plasmolysed cell will be

A man standing on a road has to hold his umbrella at $30°$ with the vertical to keep the rain away. He throws the umbrella and starts running at $10\text{km/h}$. He finds that raindrops are hitting his head vertically. What is the speed of rain with respect to the ground?

Find the maximum angle of refraction when a light ray is refracted from glass $(\mu =1.50)$ to air.

A uniform sphere of mass $500\text{g}$ rolls without slipping on a plane horizontal surface with its centre moving at a speed of $5.00\text{cm/s}$. Its kinetic energy is

Given both vector A & B have the same magnitude of 1 unit. Find $\overrightarrow{c}$ such that $\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}=0$?

A series $LCR$ circuit driven by $300\text{V}$ at a frequency of $50\text{Hz}$ contains a resistance $R=3k\Omega$, an inductor of inductive reactance $X_L=250\pi \Omega$ and an unknown capacitor. The value of capacitance, to maximize the average power, should be:$\text{Take}({\pi }^2\approx 10)$

Four uniform rods of different densities are connected to each other to form a square as shown in figure.


Linear mass density of $\text{A, B, C}$ and $\text{D}$ are given as $\lambda ,2\lambda ,2\lambda$ and $5\lambda$. Find out the distance of $COM$ of the square from the rod $\text{A}$ if length of each rod is $l$.

The escape velocity from the Earth's surface is $v.$ The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is

The positive point charges, each equal to +q, are placed at corners A, B and C of a square of side a. The magnitude of the force experienced by a point charge +Q placed at corner D is

Obtain the resonant
frequency ωr of
a series LCR circuit with L = 2.0 H, C = 32 μF
and R = 10 Ω. What is
the Q-value of this circuit?

5sin30pi(t-x/240) find velocity of particle and slope of wave from at 480m away from origin at time 2 second

A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge $Q$ (having a charge equal to the sum of the charges on the $4\mu F$ and $9\mu F$ capacitors), at a point distant $30m$ from it, would equal

Dimensional formula for product of charge per unit volume and voltage