COMEDK 2024 Morning Shift

If \(\mathrm{A}\) is the areal velocity of a planet of mass \(\mathrm{M}\), then its angular momentum is

If the earth has a mass nine times and radius four times that of planet X, the ratio of the maximum speed required by a rocket to pull out of the gravitational force of planet \(\mathrm{X}\) to that of the earth is

A glass of hot water cools from \(90^{\circ} \mathrm{C}\) to \(70^{\circ} \mathrm{C}\) in 3 minutes when the temperature of surroundings is \(20^{\circ} \mathrm{C}\). What is the time taken by the glass of hot water to cool from $$60^{\circ...

A one $\mathrm{kg}$ block of ice at \(-1.5^{\circ} \mathrm{C}\) falls from a height of \(1.5 \mathrm{~km}\) and is found melting. The amount of ice melted due to fall, if \(60 \%\) energy is converted into heat is (Specific heat capacity of...

An electric bulb of volume \(300 \mathrm{~cm}^3\) was sealed off during manufacture at a pressure of \(1 \mathrm{~mm}\) of mercury at \(27{ }^{\circ} \mathrm{C}\). The number of air molecules contained in the bulb is, $$(\mathrm{R}=8.31 \ma...

A cubical box of side \(1 \mathrm{~m}\) contains Boron gas at a pressure of \(100 \mathrm{~Nm}^{-2}\). During an observation time of 1 second, an atom travelling with the rms speed parallel to one of the edges of the cube, was found to make...

A stone of mass \(2 \mathrm{~kg}\) is hung from the ceiling of the room using two strings. If the strings make an angle \(60^{\circ}\) and \(30^{\circ}\) respectively with the horizontal surface of the roof then the tension on the longer st...

Steel is preferred to soft iron for making permanent magnets because,

When two objects are moving along a straight line in the same direction, the distance between them increases by \(6 \mathrm{~m}\) in one second. If the objects move with their constant speed towards each other the distance decreases by $$8 ...

A circular coil of radius \(0.1 \mathrm{~m}\) is placed in the \(\mathrm{X}-\mathrm{Y}\) plane and a current \(2 \mathrm{~A}\) is passed through the coil in the clockwise direction when looking from above. Find the magnetic dipole moment of...

Two circular coils of radius '\(a\)' and '\(2 a\)' are placed coaxially at a distance ' \(x\) and '\(2 x\)' respectively from the origin along the \(\mathrm{X}\)-axis. If their planes are parallel to each other and perpendicular to the $$\m...

Two similar coils $A$ and $B$ of radius '\(r\)' and number of turns '\(N\)' each are placed concentrically with their planes perpendicular to each other. If I and \(2 \mathrm{I}\) are the respective currents passing through the coils then t...

Current flows through uniform, square frames as shown in the figure.
In which case is the magnetic field at the centre of the frame not zero?

For a \(30^{\circ}\) prism when a ray of light is incident at an angle \(60^{\circ}\) on one of its faces, the emergent ray passes normal to the other surface. Then the refractive index of the prism is:

When a particular wave length of light is used the focal length of a convex mirror is found to be \(10 \mathrm{~cm}\). If the wave length of the incident light is doubled keeping the area of the mirror constant, the focal length of the mirr...

A ray of light travelling through a medium of refractive index \(\frac{5}{4}\) is incident on a glass of refractive index \(\frac{3}{2}\). Find the angle of refraction in the glass, if the angle of incidence at the given medium - glass inte...

In the normal adjustment of an astronomical telescope, the objective and eyepiece are \(32 \mathrm{~cm}\) apart. If the magnifying power of the telescope is 7, find the focal lengths of the objective and eyepiece.

A body of mass \(5 \mathrm{~kg}\) at rest is rotated for \(25 \mathrm{~s}\) with a constant moment of force \(10 \mathrm{~Nm}\). Find the work done if the moment of inertia of the body is \(5 \mathrm{~kg} \mathrm{~m}^2\).

In a given semiconductor, the ratio of the number density of electron to number density of hole is \(2: 1\). If \(\frac{1}{7}\)th of the total current is due to the hole and the remaining is due to the electrons, the ratio of the drift velo...

Though \(\mathrm{Sn}\) and \(\mathrm{Si}\) are \(4^{\text {th }}\) group elements, \(\mathrm{Sn}\) is a metal while \(\mathrm{Si}\) is a semiconductor because

An ideal diode is connected in series with a capacitor. The free ends of the capacitor and the diode are connected across a \(220 \mathrm{~V}\) ac source. Now the potential difference across the capacitor is :

A particle executes a simple harmonic motion of amplitude \(\mathrm{A}\). The distance from the mean position at which its kinetic energy is equal to its potential energy is

Which of the given dimensional formula represents heat capacity

Find the value of '\(n\)' in the given equation \(P=\rho^n v^2\) where '\(P\)' is the pressure, '\(\rho\)' density and '\(v\)' velocity.

In the Young's double slit experiment \(n^{\text {th }}\) bright for red coincides with \((n+1)^{\text {th }}\) bright for violet. Then the value of '\(n\)' is: (given: wave length of red light \(=6300^{\circ} \mathrm{A}\) and wave length o...

In a single slit diffraction experiment, for slit width '\(\alpha\)' the width of the central maxima is '\(\beta\)'. If we double the slit width then the corresponding width of the central maxima will be:

When light wave passes from a medium of refractive index '\(\mu\)' to another medium of refractive index '\(2 \mu\)' the phase change occurs to the light is :

The width of the fringes obtained in the Young's double slit experiment is \(2.6 \mathrm{~mm}\) when light of wave length \(6000^{\circ} \mathrm{A}\) is used. If the whole apparatus is immersed in a liquid of refractive index 1.3 the new fr...

A string of length \(25 \mathrm{~cm}\) and mass \(10^{-3} \mathrm{~kg}\) is clamped at its ends. The tension in the string is \(2.5 \mathrm{~N}\). The identical wave pulses are generated at one end and at regular interval of time, $$\Delta ...

The power of a gun which fires 120 bullet per minute with a velocity \(120 \mathrm{~ms}^{-1}\) is : (given the mass of each bullet is \(100 \mathrm{~g}\))