List of top Questions asked in Delhi UMET/DPMT

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 :
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:
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
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
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 ?
A $1\,m$ long steel wire of cross-sectional area $ 1\,mm^{2}$ is extended by $1\, mm$. If $ Y=2\times 10^{11}N/m^{2}$ , then the work done is :
The distance between the sun and the earth be $r$, then the angular momentum of the earth around the sun is proportional to
Which of the following is correct?
Calculate $\Delta G^{o}$ for conversion of oxygen? To ozone $3 / 2 O _{2}(g) \rightarrow O _{3}(g)$ at $298 \,K$, if $K_{p}$ for this conversion is $2.47 \times 10^{-29}$ :
The enthalpy change for the reaction of $50.00\, mL$ of ethylene with $50.00\, mL$ of $H_2 $ at $1.5\, atm$ pressure is $\Delta H=-0.31\, kJ$. The value of $\Delta E$ will be:
The structural formula of indigo dye is :
Which of the following is correct?
What is the value of linear velocity, if angular velocity is $3 \hat i - 4 \hat j + \hat k$ and distance from the centre is $5 \hat i - 6 \hat j + 6 \hat k$ ?
Figure shows a body of mass m moving with a uniform speed $v$ along a circle of radius $r$. The change in velocity in going from $A$ to $B$ is:
Angular width $ (\theta ) $ of central maximum of a diffraction pattern of a single slit does not depend upon:
The first overtone of a stretched wire of given length is $320 \,Hz$. The first harmonic is :
Magnetic permeability is maximum for
A bomber plane is moving horizontally with a speed of $500 \,m/s$ and a bomb released from it, strikes the ground in $10 \,s$. Angle at which the bomb strikes the ground is: $ (g=10\,m/{{s}^{2}}) $