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When the pressure of 2 litres of $O_2$ gas is doubled and its temperature is also doubled from 300K to 600K, the final volume of the gas is

Density of a solid sphere is given by the expression $\rho ={\rho }_0(1+\frac{x}{R})$ where $x$ is the distance from the centre of the sphere and $0\le x\le R$, $R$ is the radius of the solid sphere. Moment of inertia of the solid sphere about an axis passing through its centre will be: (Given ${\rho }_0$ is a constant)

Two tuning forks $A$ and $B$ produce notes of frequencies $336\text{Hz}$ and $340\text{Hz}$ respectively. An unknown note of guitar string when sounded with fork $A$ produce certain beats. When the same note is sounded with fork $B$, the beat frequency gets doubled. The unknown note of guitar string is -



$($the frequency of guitar string is less than that of $A$ and $B)$

The distance covered by a particle thrown in a vertical plane in horizontal and vertical directions at any instance of time $t$ are $x=\sqrt{21}tm$ and $y=(2t-4t^2)m$ respectively. The initial velocity of the particle (in $m/s$) is

Density of a mixture is $\rho$, when fluids of densities ${\rho }_1\text{and}{\rho }_2$ are mixed in the same proportion. Then:

The escape velocity from the surface of the earth is $v_0$. If $M$ and $R$ are the mass and the radius of the earth respectively, then the escape velocity on another planet of mass $2M$ and radius $\frac{R}{2}$ will be

A bomb of mass 10Kg explodes into two pieces of masses 4Kg and 6Kg . If kinetic energy of 4Kg piece is 200J. Find out kinetic energy of 6Kg piece

A.)400/3J B.)200/3J. C.)100/3J. D.)300/5J

A ring of radius $2\text{m}$ performs combined translational and rotational motion on a frictionless horizontal surface with an angular acceleration $4{\text{rad/s}}^2$ and the acceleration of its centre $a=4{\text{m/s}}^2$ as shown in figure. Find the acceleration of point $D$.

A body is projected vertically upward direction from the surface of earth. If upward direction is taken as positive, then acceleration of body during its upward and downward journey are respectively

Ans:- negative, negative

Please explain why is this so?????

If the maximum acceleration that is tolerable for passengers in a subway train is 1.34 m/$s^2$ and subway stations are located 880 m apart. What is the maximum speed, a subway train can attain between stations?

What is the distance between two protons if the electrical repulsive force between them is equal to the weight of either proton

A car travels from $A$ to $B$ at a speed of $20\text{km/h}$ and returns at a speed of $30\text{km/h}$. The average speed of the car for the whole journey is

A particle executing simple harmonic motion has an amplitude of 6 cm. Its acceleration at a distance of 2 cm from the mean position is 8 cm/$s^2$. The maximum speed of the particle is

[EAMCET (Engg.) 2000]

Frequency of ${\text{K}}_{\alpha }\text{X}-$ rays of different materials are measured. Which graph in figure represent the relation between frequency $\left(\nu \right)$ and atomic number $\left(Z\right):$

Potential drop across $5\Omega$ is $10V$, then EMF of the battery is

A particle of charge -q & mass m moves in a circle of radius r around an infinitely long line charge having linear charge density +λ. Then time period will be--

Let's write a poem.

I have a kite but need a friend to fly it with,

I know a song but need someone to hear it,

I have a ball but need someone to catch it,

I ____________________________________

I ____________________________________

I ____________________________________

I ____________________________________

A particle of mass ‘m’ is projected with a velocity ‘v’ making an angle of ${30}^{\circ }$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height ‘h’ is

A paralle plate capacitor having capacitance $12\text{pF}$ is charged by a battery to a potential difference of $10\text{V}$ between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant $6.5$ is slipped between the plates. The work done by the capacitor on the slab is

The potential of hollow speed radius 1m is 100 v the potential at 1/2 m and 2 m from the centre of the speed respectively

100 v and 50 v

Zero and 50 v

200 v and 50 v

150 v and 100 v

A physical quantity ${}^{\prime }{y}^{\prime }$ is represented by the formula $y=m^2{r}^{-4}{g}^x{l}^{-\frac{3}{2}}$. If the percentage errors found in $y,m,r,l$ and $g$ are $18,1,0.5,4$ and $p$ respectively, then find the value of $x$ and $p$

A particle of charge $q$ and mass $m$ starts moving from the origin under the action of an electric field $\overrightarrow{E}=E_0\hat{i}$ and $\overrightarrow{B}=B_0\hat{i}$ with velocity $\overrightarrow{v}=v_0\hat{j}$. The speed of the particle will become $2v_0$ after time

A spherical ball of radius $R$ is moving with velocity $V$ on a smooth horizontal plane as shown. It has a ridge at point $\text{O}$. Calculate the angular velocity of sphere about point $\text{O}$.

Case study $\left(1\right)$



A car battery with a $12\text{V}$ emf and an internal resistance of $0.04\Omega$ is being charged with a current of $50\text{A}$.



$\left(i\right)$The potential difference $\text{V}$ across the terminals of the battery is

A closed vessel contain 8g of oxygen and 7g of nitrogen. The total pressure is 10 atm at a given temperature. If now oxygen is absorbed by introducing a column absorbent. The pressure of the remaining gas will be

A ball is thrown vertically up with a speed $40\text{m/s}$. The speed of ball, at a height $10\text{m}$ will be

A body travelling along a straight line traversed one third of the total distance with a velocity $4\text{m/s}$. The remaining part of the distance was covered with a velocity $2\text{m/s}$ for half the time and with velocity $6\text{m/s}$ for the other half of time. The mean velocity averaged over the whole time of motion is

The maximum value of $xy$ subject to $x+y=4$ is