List of top Questions asked in Rajasthan PMT- 2008

In gamma ray emission from a nucleus

The heat of formation of $ CO(g) $ and $ C{{O}_{2}}(g) $ are $ \Delta H=-110 $ and $ \Delta H=-393\,\,kJ\,\,mo{{l}^{-1}} $ respectively. What is the heat of reaction $ (\Delta H) $ (in $ kJ\,\,mo{{l}^{-1}}) $ for the following reaction? $ CO(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}C{{O}_{2}}(g) $

Adipic acid on heating form

A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes $ \text{5T/3,} $ then the ratio of $ \frac{m}{M} $ is

A body executes simple harmonic motion. The potential energy (PE), the kinetic energy (KE) and total energy (TE) are measured as function of displacement x. Which of the following statements is true?

In the respect of the equation $ k=A{{e}^{-{{E}_{a}}/RT}} $ in chemical kinetics, which one of the following statements is correct?

Three point charges $ +q,-2q $ and $ +q $ are placed at points $ (x=0,y=a,x=0), $ $ (x=0,y=0,z=0) $ and $ (x=a,y=0,z=0), $ respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are

Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged, is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is

Work done in placing a charge of $ 8\times 10^{-18}C $ on a condenser of capacity $100 \, \mu \, F$ is

The difference in the variation of resistance with temperature in a metal and a semiconductor arises essentially due to the difference in the

Which of the following can give a Grignard reagent when reacted with magnesium in dry ether?

The length of a given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter the change in the resistance of the wire will be

The coordinates of a moving particle at any time t are given by $ x=\alpha {{t}^{3}} $ and $ y={{t}^{3}}. $ The speed of the particle at time t is given by

Diwali rocket is ejecting 50 g of gases/s at a velocity of 400 m/s. The accelerating force on the rocket will be

$ t- $ butyl chloride preferably undergo hydrolysis by

What is the equation for the equilibrium constant $ ({{K}_{c}}) $ for the following reaction? $ \frac{1}{2}A(g)+\frac{1}{3}B(g)\frac{2}{3}C(g) $

$ A\,\,0.5\,\,g/L $ solution of glucose is found to be isotonic with a $ 2.5\,\,g/L $ solution of an organic compound. What will be the molecular weight of that organic compound?

What is the electrode potential (in $ V $ ) of the following electrode at $ {{25}^{o}}C $ ? $ N{{i}^{2+}}(0.1\,\,M)|Ni(s) $ (Standard reaction potential of $ N{{i}^{2+}}|Ni $ is $ -0.25\,\,V,\,\,\frac{2.303RT}{F}=0.06) $

What is the wavelength (in $ m $ ) of a particle of mass $ 6.62\times {{10}^{-29}}g $ moving with a velocity of $ {{10}^{3}}\,\,m{{s}^{-1}} $ ?

During the dehydration of alcohols to alkenes by heating with conc. $H_2SO_4$, the initiating step is

A metal wire of linear mass density of 9.8 g/m is stretched with a tension of 10 kg-wt between two rigid supports 1 m apart. The wire passes at its middle point between the poles of a permanent magnet and it vibrates in resonance when carrying an alternating current of frequency n. The frequency n of the alternating source is

A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is

A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an angle of $ 30{}^\circ $ with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground? $ (g=10\,m/{{s}^{2}},\,\sin {{30}^{o}}=1/2,\,\cos {{30}^{o}}=\sqrt{3}/2) $

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Youngs double-slit experiment, is

What is the value of inductance L for which the current is a maximum in a series LCR circuit with $ C=10\,\mu F $ and $ \omega =1000\,{{s}^{-1}} $ ?