List of top Questions asked in KEAM

If $ {{(\sqrt{5}+\sqrt{3}i)}^{33}}={{2}^{49}}z, $ then modulus of the complex number $z$ is equal to

A potentiometer wire of length $10\, m$ and resistance $ 20\,\Omega $ is connected in series with a $15\, V$ battery and an external resistance $ 40\,\Omega $ . A secondary cell of emf in the secondary circuit is balanced by $240 \,cm$ long potentiometer wire. The emf $E$ of the cell is

The value of $\frac{1}{i}+\frac{1}{i^{2}}+\frac{1}{i^{3}}+\cdots+\frac{1}{i^{102}}$ is

Two identical thin rings, each of radius $10\,cm$ carrying charges $10\,C$ and $5\,C$ are coaxially placed at a distance $10\,cm$ apart. The work done in moving a charge $q$ from the centre of the first ring to that of the second is

4 cells each of emf2 V and internal resistance of $ 1 O $ are connected in parallel to a load resistor of $ 2 O $ . Then the current through the load resistor is

From an elevated point $P$, a stone is projected vertically upwards. When the stone reaches a distance $h$ below $P$, its velocity is double of its velocity at a height $h$ above $P$. The greatest height attained by the stone from the point of projection $P$ is

The velocity and acceleration of a particle performing simple harmonic motion have a steady phase relationship. The acceleration shows a phase lead over the velocity in radians of

Uncertainty principle is valid for

The number of ways in which $5$ ladies and $7$ gentlemen can be seated in a round table so that no two ladies sit together, is

A point dipole with dipole moment, $\vec{p} = p_0 \hat{k}$ , is kept at the origin. An external electric field given by, $\vec{E} = E_0 ( 2\hat{i} - 3\hat{j} + 4\hat{k})$ , is applied on it. Which one of the following statements is true ?

The energy of an electron in the $3\,S$ orbital (excited state) of $H$ - atom is

Which of the following is the correct unit of angular momentum of an lectron in an orbital of an atom?

If $ f(x)=(x-2)(x-4)(x-6)....(x-2n), $ then $ f'(2) $ is

$ A(g)+3B(g)4C(g) $ Initially concentration of $ A $ is equal to that of $ B $ . The equilibrium concentrations of $ A $ and $ C $ are equal. $ {{K}_{c}} $ is:

The basicity of pyrophosphorous acid is

Among the following, which species represents a pseudohalide?

An alkene $ {{C}_{4}}{{H}_{8}} $ , was treated with ozone and then with zinc and water to give acetone and formaldehyde. The alkene is:

Sphalerite is concentrated by

IUPAC name of $ C{{H}_{3}}CH=\underset{\begin{align} & | \\ & C{{H}_{2}} \\ & | \\ & C{{H}_{3}} \\ \end{align}}{\mathop{C}}\,C{{H}_{3}} $

$1.5\, g$ of a non-volatile, non-electrolyte is dissolved in $50 \,g$ benzene $(K_b\, =\, 2.5\, K kg \,mol^{-1}$ ). The elevation of the boiling point of the solution is $0.75\, K$. The molecular weight of the solute in $g$ $mol^{-1}$ is

For the reaction $ 2{{N}_{2}}{{O}_{5}}(g)\xrightarrow[{}]{{}}4N{{O}_{2}}(g)+{{O}_{2}}(g) $ if the concentration of $ N{{O}_{2}} $ increases by $ 5.2\times {{10}^{-3}} $ M in 100 s then the rate of the reaction is:

A gas mixture contains 50% helium and 50% methane by volume. What is the percent by weight of methane in the mixture ?

Ammonia will not form complex with

Reaction of diborane with ammonia gives initially

A binary solid has a primitive cubical structure with $B^-$ ions constituting the lattice points and $A^+$ ions occupying $25\%$ of its tetrahedral holes. The molecular formula of the crystal is