List of top Questions asked in KCET, JIPMER

In $\Delta ABC$, if $a =2, B = \tan ^{-1} \frac {1}{2}$ and $C = \tan ^{-1}\frac{1}{3}$, then $(A,b)$ =
If $x\neq n \pi ,\, x \neq\,(2n+1)\frac {\pi}{2}.n\in Z, $ then $\frac {Sin^{-1}(Cos x) + Cos^{-1}(Sin x)}{Tan ^{-1}(Cot x)+ Cot^{-1}(Tan x)} $ =
The forbidden energy gap in $Ge$ is $0.72\, eV$. Given, $hc = 12400 \, eV \, - ?$ . The maximum wavelength of radiation that will generate an electron hole pair is
$\mu_0$ and $\varepsilon_0$ denote the permeability and permittivity of free space, the dimensions of $\mu_0 \varepsilon_0$ are
Reaction of methyl bromide with aqueous sodium hydroxide involves
The correct IUPAC name of $K_2[Ni(CN)_4]$ is _______
The empirical formula of a non-electrolyte is $CH_2O$. A solution containing $6 \,g$ of the compound exerts the same osmotic pressure as that of $0.05\, M$ glucose solution at the same temperature. The molecular formula of the compound is
The amount of heat evolved when $500 \,cm^3$ of $0.1 \,M \,HCl$ is mixed with $200\, cm^3$ of $0.2\,M \,NaOH$ is _______
The diagram of Labeo rohita is given below. Identify the parts labelled A, B, C, D, E, F, G.
Which one of the following pairs is an example for lateral meristem?
The temperature of a gas contained in a closed vessel of constant volume increases by $1^\circ$C when the pressure of the gas is increased by $1\%$. The initial temperature of the gas is ..........
Two smalI spheres of masses $M_1 $ and $M_2$ are suspended by weightless insulating threads of lengths $ L_1$ and $ L_2$. The spheres carry charges $Q_1$ and $Q_2$ respectively. The spheres are suspended such that they are in level with one another and the threads are inclined to the vertical at angles of $\theta_1 $ and $\theta_2$ as shown. Which one of the following conditions is essential, if $\theta_1 = \theta_2$ ?
The spin only magnetic moment of $Mn^{+4}$ ion is nearly____
There is a uniform electric field of intensity $E$ which is as shown. How many labelled points have the same electric potential as the fully shaded point?
The condition for the line $y = mx +c$ to be a normal to the parabola $y = 4ax$ is _______
The set of quantum numbers for the outermost electron for copper in its ground state is ___________
The set of real values of x for which $ f(x) = \frac {x}{log\, x}$ increasing, is
Peroxide ion ___________ a) is diamagnetic b) has five completely filled antibonding molecular orbitals c) is isoelectronic with neon d) has bond order one. Which one of these is correct?
Magnetic field at the centre of a circular coil of radius $R$ due to current $I$ flowing through it is $B$. The magnetic field at a point along the axis at distance $R$ from the centre is........

Which of the following is known as oil of vitriol ?

If Young's double slit experiment, is performed in water
A capacitor of capacitance $ 5 \mu F $ is connected as shown in the figure. The internal resistance of the cell is $ 0.5 O $ The amount of charge on the capacitor plates is
A galvanometer acting as a voltmeter should have
In the circuit shown in the given figure, the resistances $R_1$ and $R_2$ are respectively
The minimum energy required for molecules to enter into a chemical reaction is called