List of top Questions asked in AIIMS

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency $ \omega $ . The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

A car, starting from rest, accelerates at the rate $f$ through a distance $S$, then continues at constant speed for time $t$ and then decelerates as the rate $f / 2$ to come to rest. If the total distance travelled is $15 S$, then

A parachutist after bailing out falls $50\, m$ without friction. When parachute opens, it decelearates at $ 2\,m/s^{2} $ . He reaches the ground with a speed of $3 \,m/s$. At what height, did he bail out?

Starting with a sample of pure ${ }^{66} Cu , 7 / 8$ of it decays into $Zn$ in $15 \,min$. The corresponding half-life is

A particle of mass $10\, g$ is kept on the surface of a uniform sphere of mass $100\, kg$ and radius $10 \,cm$. Find the work to be done against the gravitational force between them, to take the particle far away from the sphere (you may take $G=6.67 \times 10^{-11} Nm ^{2} / kg ^{2}$ )

A smooth block is released at rest on a $45^{\circ}$ incline and then slides a distance $d$. The time taken to slide is $n$ times as much to slide on rough incline than on a smooth incline. The coefficient of friction is

A hollow cylinder has a charge $q\,\, C$ within it. If $ \Phi $ is the electric flux in unit of voltmeter associated with the curved surface $B$, the flux linked with the plane surface $A$ in unit of voltmeter will be

For the given uniform square lamina $ABCD$, whose centre is $O$

If in a p-n junction diode, a square input signal of $10 \,V$ is applied as shown

Then the output signal across $ R_L$ will De

A wheel has angular acceleration of $ 3.0\,rad/s^{2} $ and an initial angular speed of $2.00 \,rad/s$. In a time of $2 \,s$ it has rotated through an angle (in radian) of

A bullet is fired from a rifle and the rifle recoils. Kinetic energy of rifle is

The half-life for the reaction $N _{2} O _{5} \longrightarrow 2 NO _{2}+\frac{1}{2} O _{2}$ is $2.4\, h$ at STP. Starting with $10.8\, g$ of $N _{2} O _{5}$ how much oxygen will be obtained after a period of $9.6\, h$ ?

The solubility product of $As _{2} O _{3}$ is $10.8 \times 10^{-9}$. It is $50 \%$ dissociated in saturated solution. The solubility of salt is

The enthalpy of hydrogenation of cyclohexene is $-119.5\, kJ\, mol ^{-1}$. If resonance energy of benzene is $-150.4\, kJ\, mol ^{-1}$, its enthalpy of hydrogenation would be

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

Drosophila flies with $XXY$ genotype are females, but human beings with such genotype are abnormal males, it shows that

Pure line breed refers to

Chain transfer reagent is

The figure shows the path of a positively charged particle 1 through a rectangular region of uniform electric field as shown in the figure. What is the direction of electric field and the direction of deflection of particles 2, 3 and 4?

Ohm?? law is applicable for all conducting elements. Ohm?? law is a fundamental law.

The vapour pressure of pure benzene at a certain temperature is $0.850$ bar. A non-volatile, nonelectrolyte solid weighing $0.5\,g$ is added to $39.0\, g$ of benzene (molar mass 78 g/mol). The vapour pressure of the solution then is 0.845 bar. What is the molecular mass of the solid substance?

A large horizontal surface moves up and down in $S.H.M.$ with an amplitude of $1\, cm$. If a mass of $10\, kg$ (which is placed on the surface) is to remain continuously in contact with it, the maximum frequency of S.H.M. will be

In a cavity within a conductor, the electric field is zero. Charges in a conductor reside only at its surface.

: In the electrolysis of aqueous $ NaCl $ , $ Na $ is preferentially discharged at mercury cathode forming sodium amalgam. : It is due to the fact that hydrogen has a high over voltage at mercury cathode.