List of top Questions asked in Delhi UMET/DPMT- 2005

In the nuclear reaction, ${ }_{72} X^{180} {->[-\alpha]} Y {->[-\beta]} Z {->[-\alpha]} A {->[-\gamma]} P$ the atomic mass and atomic number of $P$ are, respectively

If a particle executes SHM with angular velocity $3.5 \,rad\, s^{-1}$ and maximum acceleration $7.5\, ms^{-2},$then the amplitude of oscillation will be

A coin placed on a rotating turntable just slips, if it is placed at a distance of $8\, cm$ from the centre. If angular speed of the turntable is doubled, it will just slip at a distance of:

Hailstone at $0^{\circ}C $ falls from a height of $1\, km$ on an insulating surface converting whole of its kinetic energy into heat. What part of it will melt? $ (g=10\,m/s^{2})$ (Latent heat of ice $ =3.34\times 10^{5}J/kg$)

A body executing SHM has its velocity $10\, cm/s$ and $7\, cm/s$, when its displacements from the mean position are $3\, cm$ and $4 \,cm$, respectively The length of path is :

Two simple pendulums whose lengths are $100\, cm$ and $121\, cm$ are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will be the two be in phase again?

Orbital is :

Which of the following is not hydrolysed?

The $SI$ unit of magnetic flux is

The enthalpy change $ (\Delta H) $ for the neutralisation of $M\,HCl $ by caustic potash in dilute solution at $298\, K$ is :

Which of the following gas is linear?

A radioactive sample is emitting $64 $ times radiations than non-hazardous limit. If its half life is $2h$, after what time it becomes non-hazardous?

When a man increases his speed by $2\, ms^{-1}$, the finds that his kinetic energy is doubled, the original speed of the man is

What is the drift velocity of electons, if the current flowing through a copper wire of $1\,mm$ diameter is $1.1\, A$ ? Assume that each atom of copper contributes on electron (Given, density of $Cu= 9 g \, cm^{-3}$ and atomic weight of $Cu = 63$)

Magnification of a compound microscope is $30$. Focal length of eyepiece is $5\, cm$ and the image is formed at a distance of distinct vision $25\, cm$. The magnification of the objective lens is :

If percentage change in current through resistor is $1\%$, then the change in power through it would be :

Escape velocity from a planet is $ V_{e}$ . If its mass is increased to $8$ times and its radius is increased to $2$ times, then the new escape velocity would be:

Calculate the amount of heat (in calories) required to convert $5\, g$ of ice at $0^{\circ}C$ to steam at $100^{\circ}C$ .

A ray falls on a prism $ABC.(AB = BC)$ and travels as shown in figure. The least value of refractive index of material of the prism, should be:

A body takes time $t$ to reach the bottom of an inclined plane of angle $ \theta $ with the horizontal. If the plane is made rough, time taken now is $2t$. The coefficient of friction of the rough surface is:

A body of mass $m$ is moving towards east and another body of equal mass is moving towards north. If after collision both stick together, their speed after collision would be:

A body of mass $1\, kg$ is moving in a vertical circular path of radius $1\, m$. The difference between the kinetic energies at its highest and lowest position is :

Two bodies are thrown up at angles of $40^{\circ}$ and $60^{\circ}$ respectively, with the horizontal. If both bodies attain same vertical height, then ratio of velocities with which these are thrown is

In order to obtain time constant of $10\, s$ in an $R-C$ circuit containing a resistance of $10^3 \Omega$ , the capacity of the condenser should be

A flat mirror revolves at a constant angular velocity making $2\, rev\, s^{-1}.$ With what velocity will a light spot move along a spherical screen with a radius of $10\, m$, if the mirror is at a centre of curvature of the screen ?