List of top Questions asked in JEE Main- 2013

The dimensions of angular momentum, latent heat and capacitance are, respectively.

Which of the following arrangements does not represent the correct order of the property stated against it?

On the sides $AB, BC, CA$ of a $\Delta ABC, 3, 4, 5$ distinct points (excluding vertices $A, B, C$) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices a re :

If the time period $t$ of the oscillation of a drop of liquid of density $d$, radius $r$, vibrating under surface tension $s$ is given by the formula $t=\sqrt{r^{2b}s^{c}d^{a/2}}.$ It is observed that the time period is directly proportional to $\sqrt{\frac{d}{s}}.$ The value of $b$ should therefore be :

Which of the following is diamagnetic?

The density of $3M$ solution of sodium chloride is $1.252\, g\, mL^{-1}$. The molality of the solution will be: (molar mass, $NaCl = 585\, g\, mol^{-1}$)

A mass of $50\,g$ of water in a closed vessel, with surroundings at a constant temperature takes $2$ minutes to cool from $30^\circ C$ to $25^\circ C$. A mass of $100\,g$ of another liquid in an identical vessel with identical surroundings takes the same time to cool from $30^\circ C$ to $25^\circ C$. The specific heat of the liquid is: (The water equivalent of the vessel is $30\,g$.)

\(500 \,g\) of water and \(100\, g\) of ice at \(0^{\circ}C\) are in a calorimeter whose water equivalent is \(40\, g\). \(10\, g\) of steam at \(100^\circ C\) is added to it. Then water in the calorimeter is : (Latent heat of ice \(= 80\, cal/g\), Latent heat of steam \(=540\, cal/g\))

In Goldschmidt aluminothermic process which of the following reducing agents is used:

The rate constant of a zero order reaction is $2.0 \times 10^{-2}\, mol \,L^{-1}\, s^{-1}$. If the concentration of the reactant after $25$ seconds is $0.5\,M$. What is the initial concentration ?

Copper crystallises in fcc with a unit length of $361\,pm$. What is the radius of copper atom ?

In which of the following pairs of molecules/ions both the species are not likely to exist?

In a face centred cubic lattice, atoms of $A$ form the comer points and atoms of $B$ form the face centred points. If two atoms of $A$ are missing from the comer points, the formula of the ionic compound is :

Let $a=Im\left(\frac{1+z^{2}}{2iz}\right),$ where $z$ is any non-zero complex number. The set $A=\left\{a:\left|z\right|=1\,and\,z\ne\pm1\right\}$ is equal to:

A common tangent to the conics $x^{2}=6y$ and $2x^{2}-4y^{2}=9$ is:

The first ionisation potential of $Na$ is $5.1\, eV$. The value of electron gain enthalpy of $Na^+$ will be

Electron gain enthalpy with negative sign of fluorine is less than that of chlorine due to :

The surface charge density of a thin charged disc of radius $R$ is $\sigma$. The value of the electric field at the centre of the disc is $\frac{\sigma}{2 \in_{0}} \cdot$ With respect to the field at the centre, the electric field along the axis at a distance $R$ from the centre of the disc :

A solution of copper sulphate $\left(CuSO_{4}\right)$ is electrolysed for 10 minutes with a current of $1.5$ amperes. The mass of copper deposited at the cathode (at. mass of $Cu = 63u$) is :

Which of the following is the wrong statement?

Vapour pressure of pure benzene is $119$ torr and that of toluene is $37.0$ torr at the same temperature. Mole fraction of toluene in vapour phase which is in equilibrium with a solution of benzene and toluene having a mole fraction of toluene $0.50$, will be :

Which has trigonal bipyramidal shape ?