List of top Questions asked in KCET, JIPMER

Effective resistance between $A$ and $B$ in the following circuit
Four metal plates are arranged as shown. Capacitance between $X$ and $Y (A \to$ Area of each plate, $d \to$ distance between the plates)
If $\vec{a}$ and $\vec{b}$ are unit vectors then what is the angle between $\vec{a}$ and $\vec{b}$ for $\sqrt{3} \, \vec{a} - \vec{b}$ to be unit vector ?
Van-Arkel method of refining Zirconium involves,

When an electrolyte is dissociated in solution, the van't Hoff factor \((i)\) is,

The value of $\tan \frac{\pi}{8}$ is equal to
A body falls freely for $10\,sec$. Its average velocity during this journey (take $g = 10 \, ms^{-2}$)
From the following pedigree chart of a family, one can make an analysis that,
The hybridisation of $C$ in diamond, graphite and ethyne is in the order
A pan filled with hot food cools from $94 ^{\circ}C$ to $86^{\circ}C$ in $2$ minutes. When the room temperature is $20 ^{\circ}C$. How long will it cool from $74 ^{\circ}C$ to $66 ^{\circ}C$ ?
A rectangular loop has a sliding connector PQ of length $\ell$ and resistance $R\,\Omega$ and it is moving with a speed v as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents $I_1,\, I_2$ and $I$ are
The value of $\sin^{-1}\left ( \cos\, \frac { 53 \pi}{5}\right)$ is
A 220 volt - 1000 watt bulb is connected across a 110 volt mains supply. The power consumed will be
In the following network potential at $'O'$
Mobility of free electrons in a conductor is
Variation of resistance of the conductor with temperature is as shown .The temperature co-efficient $(\alpha)$ of the conductor is
The degree of dissociation $(\alpha)$ of a weak electrolyte $A_xB_y$ is related to van?t Hoff factor $(i)$ by the expression
If glucose of $36\, g$ weight is dissolved in $2 \,kg$ of $H_2O$ then, change in boiling point $(\Delta T_b)$ at 1.013 bar will be ($K_b$ for ${H_2O}$ is ${ 0.52\, K\, kg \,mol^{-1}}$)
Concentrated aqueous sulphuric acid is $98 \% \,H _{2} SO _{4}$ by mass and has a density of $1.80 \,g .\, mL ^{-1}$ Volume of acid required to make $1$ litre of $0.1\, M \,H _{2} SO _{4}$ solution is:
With increase in temperature, which one of these changes?
A particle executing $SHM $ has a maximum speed of $0.5 \, ms^{ -1}$ and maximum acceleration of $1.0 \, ms^{-2}$ The angular frequency of oscillation is
A cylinder of radius $R$, length $L$ and density $\rho$ floats upright in a fluid of density $\rho_0$. If it is given a small downward displacement of amplitude $x$, the time period of resulting undamped oscillation is
In a first order reaction, the time taken for 90% decay is 12 days. The time taken for 99% decay is
Thermal decomposition of $HI$ on gold surface is a
The overall order of a reaction which has the rate expression, rate = $k[A]^{1/2}\, [B]^{1/2}$ is