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Which of the following is incorrect statement regarding photon

If $\overrightarrow{A}=4\hat{i}-2\hat{j}+6\hat{k}$ and $\overrightarrow{B}=\hat{i}-2\hat{j}-3\hat{k}$ the angle which $\overrightarrow{A}-\overrightarrow{B}$ makes with x-axis is

A man of mass 100 kg stands at the rim of a turntable of radius 2m and moment of inertia 4000$kg-m^2$ mounted on a vertical frictionless shaft at its center. The whole system is initially at rest. The man now walks along the outer edge of a turntable with a velocity of 1 m/s relative to the earth. With what angular velocity and in what direction does the turntable rotates?

Two bodies A and B of equal mass are suspended from two separate massless springs of spring constant $k_{1}and{k}_2$ respectively. If the bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of A to that of B is

A particle executes linear $\text{SHM}$ of amplitude $A$ along $x-$ axis. At $t=0$ the position of the particle is $x=\frac{A}{2}$ and it moves along $+x$ direction. Find the phase constant $\left(\delta \right)$ if the equation is written as $x=\text{A sin}(\omega t+\delta )$

If the distance between the atoms of a diatomic gas remains constant. Its specific heat capacity at constant volume per gram-mole is

A boy standing at the top of a tower of $20\text{m}$ height drops a stone. Assuming $g=10{\text{ms}}^{-2}$ the magnitude of velocity with which it hits the ground is

Which of the following graphs correctly represents the variation of velocity of sound $\left(v\right)$ with the pressure $\left(P\right)$ of a gas at constant temperature?

Evaluate ${\int }_0^1\frac{1}{\sqrt{1+x}-\sqrt{x}}dx$

A source of sound with adjustable frequency produces $2$ beats per second with a tuning fork, when its frequency is either $466\text{Hz}$ or $470\text{Hz}$. What is the frequency of the tuning fork ?

Two semi-circular discs of mass density $1{\text{kg/m}}^2$ and $2{\text{kg/m}}^2$, radius $r=1\text{m}$ each are joined to form a complete disc. Find the moment of inertia ($\text{MI}$) of complete disc about an axis passing through it's centre.

The ratio of electric field at a point A and at point B due to the uniformly charged spherical conductor as shown, is

For $\Delta ABC$. Choose incorrect option

A projectile is thrown at an angle of ${60}^{\circ }$ with horizontal. If $E$ is the kinetic energy with which the projectile is thrown, then find the kinetic energy at the top of trajectory.

Two cars start off to race with velocities $4\text{m/s}$ and $2\text{m/s}$ and travel in a straight line with uniform accelerations $1{\text{m/s}}^2$ and $2{\text{m/s}}^2$ respectively. If they reach the final point at the same time instant, then what is the length of the path?

The pulleys and strings shown in the figure are smooth and massless. For the system to remain in equilibrium, the angle $\theta$ should be:

A cricketer can throw a ball to a maximum horizontal distance of 100 m. The speed with which he throws the ball is (to the nearest integer)

The pendulum hanging from the ceiling of a railway carriage makes an angle ${30}^{\circ }$ with the vertical when it is accelerating. The acceleration of the carriage is

From the circular disk of radius $4R$, two small discs of radius $R$ each are cut off. If $R=14\text{cm}$, then find the location of the center of mass of the new structure (in $\text{cm})$. (Take $\text{O}$ to be the origin)

A bomb of mass $3m\text{kg}$ explodes into two pieces of mass $m\text{kg}$ and $2m\text{kg}$ . If the velocity of $m\text{kg}$ mass is $16\text{m/s}$, the total energy released in the explosion is

Water rises to a height $h$ in a capillary tube of area of cross-section $a$. To what height will the water rise in a capillary tube of area of cross-section $4a$ ?

A ball is dropped from a height $h$ on to a floor. If in each collision its speed becomes $e$ times of its striking value, then total change in momentum of ball when it stops rebounding is (Here, $e$ is coefficient of restitution between the ball and the floor)

For moving ball of cricket, the correct statement about de-Broglie wavelength is

A uniform slender rod of length L, cross sectional area A and Young’s modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

A point transversed $3/4^{th}$ of the circle of radius $R$ in time $T$ .The magnitude of the average velocity of the particle in this time interval is

A plank of mass $2\text{kg}$ and length $9\text{m}$ is placed on a horizontal floor. A small block of mass $1\text{kg}$ is placed on top of the plank at its right extreme end. The coefficient of friction between the plank and the floor is $0.5$ and that between the plank and the block is $0.2$. If a horizontal force of $30\text{N}$ starts acting on the plank to the right, the time after which the block will fall off the plank is

(Take $g=10{\text{ms}}^{-2}$)

As shown in figure, a ring is performing combined translational and rotational motion with angular velocity $2\text{rad/s}$ and the velocity of its $\text{COM}$ is $4\text{m/s}$. Find the magnitude of velocity of point $C$ on the ring.

Two cars are moving is the same direction with a speed of $30{\text{km h}}^{-1}$. They are separated from each other by $5\text{km}$. Third car moving in the opposite direction meets the two cars after an interval of 4 minutes. What is the speed of the third car?

If a person traveled $15\text{m}$ at an angle ${60}^{\circ }$ North of East. Then, how much he traveled in East direction $\text{(in m)}$

A block is kept on a frictionless inclined surface with angle of inclination $\alpha$. The inclined wedge is given an acceleration $a$ to keep the block stationary with respect to the inclined plane. Then magnitude of acceleration $a$ is equal to

When forces $F_1,F_2,F_3$ are acting on a particle of mass $m$ such that $F_2$ and $F_3$ are mutually perpendicular, then the particle remains stationary. If the force $F_1$ is now removed then the magnitude of acceleration of the particle is

The minimum wavelength of photon is $5000\stackrel{\circ }{A}$ , its energy will be

A hollow metallic sphere of radius $20\text{cm}$ surrounds a concentric metallic sphere of radius $5\text{cm}$. The space between the spheres is filled with a material of thermal conductivity $k$. The inner and outer spheres are maintained at ${50}^{\circ }\text{C}$ and ${10}^{\circ }\text{C}$ respectively and it is found that $100\text{J}$ of heat passes from the inner to the outer surface per second. Find the value of $k$.

A spring balance attached to the roof of a moving elevator indicates $80\text{kg}$ weight as the weight of a $120\text{kg}$ body. What is the acceleration of the elevation? (Take $g=10m/s^2$)

For a converging lens, if the object is placed between $2F_1$ and $F_1$ the image will be formed.

Find the greatest length of an organ pipe open at both ends that will have its fundamental frequency in the range $(40-20000\text{Hz})$

[Assume, speed of sound in air = $340{\text{ms}}^{-1}$]

A man pushes a wall and fails to displace it. He does

The ball goes upto a height of .

Find the minimum coefficient of friction between the cylindrical shell and inclined plane as shown in the figure, so that the shell will perform pure rolling.

Two sine waves travel in the same direction in a medium. The amplitude of each wave is A and the phase difference between the two waves is${120}^0$. The resultant amplitude will be