List of top Questions asked in AMUEEE- 2010

An object moving at a speed of $ 5\,m/s $ towards a concave mirror of focal length $ f = 1\, m $ is at a distance of $ 9\, m $ . The average speed of the image is

For the current loops shown in the figure, Kirchhoff's loop rule for the loops $A H D C B A$ and AHDEFGA yields these equations respectively

The ratios of the distance traversed, in successive intervals of time by a body, falling from rest, are

$ \int e^{xloga }e^{x} dx $ is equal to

Which of the following is an outer orbital complex ?

The complex number $ z = \begin{vmatrix}2&3+i&-3\\ 3-i&0&-1+i\\ -3&-1-i&4\end{vmatrix} $ is equal to

Immunoglobulins are proteins that show...... structure.

Grey biotechnology is referred to

How many hydrogen bonded water molecule $ (s) $ are associated with $ CuSO_4 \cdot 5H_2O $ ?

In the following reaction, major product obtained is

Four solutions of $K_{2}SO_{4}$ with the following concentration $0.1\, M,\, 0.01\, m,\, 0.001\, m$ and $m$ are available. The maximum value of van' t Hoff factor, $i$, corresponds to

Consider the decomposition of $N _{2} O _{5}$ as $N _{2} O _{5} \longrightarrow 2 NO _{2}+\frac{1}{2} O _{2}$ The rate of reaction is given by $\frac{-d\left[ N _{2} O _{5}\right]}{d t}=\frac{1}{2} \frac{d\left[ NO _{2}\right]}{d t}=2 \frac{d\left[ O _{2}\right]}{d t}=k_{1}\left[ N _{2} O _{5}\right]$ Therefore, $\frac{-d\left[ N _{2} O _{5}\right]}{d t}=k_{1}\left[ N _{2} O _{5}\right]$ $\frac{+d\left[ NO _{2}\right]}{d t} =2 k_{1}\left[ N _{2} O _{5}\right]$ $=k_{1}'\left[ N _{2} O _{5}\right] \frac{+d\left[ O _{2}\right]}{d t} =\frac{1}{2} k_{1}\left[ N _{2} O _{5}\right]=k_{1}'' \left[N _{2} O _{5}\right]$ Choose the correct option.

During the conversion of $NH _{2} OH \rightarrow N _{2} O$, the equivalent weight of $NH _{2} OH$ (mol. wt. of $NH _{2} OH$ is $M$ ) is

Which of the following has smallest number of molecules ?

The total number of atoms of all elements present in $ 1 $ mole of ammonium dichromate is

Under the action of a given coulombic force the acceleration of an electron is $2.5 \times 10^{22}\, m \,s^{-2}$. Then the magnitude of the acceleration of a proton under the action of same force is nearly

An electron initially at rest falls a distance of $1.5\, cm$ in a uniform electric field of magnitude $2 \times 10^4\, N/C$. The time taken by the electron to fall this distance is

Let $ f : R $ - { $ \frac {5}{4} $ } $ \rightarrow R $ be a function defined as $ f(x) = \frac{5x}{4x+5} $ . The inverse of $ f $ is the map $ g : Range\,f\,\rightarrow R $ - { $ \frac {5}{4} $ } given by

Let $ * $ be a binary operation on the set $ Q $ of rational numbers defined by $ a*b $ = $ \frac{ab}{4} $ . The identity with respect to this operation is

For the equations $ x + 2y + 3z = 1 $ , $ 2x + y + 3z = 2 $ , $ 5x + 5y + 9z = 4 $

A slab of material of dielectric constant $K$ has the same area as the plates of a parallel plate capacitor but has a thickness $\left(\frac{3}{4}\right) d$, where $d$ is the separation of the plates. The ratio of the capacitance $C$ (in the presence of the dielectric) to the capacitance $C_{0}$ (in the absence of the dielectric) is

For the reaction $A B(g) \rightleftharpoons A(g)+B(g), A B$ is $33 \%$ dissociated at a total pressure of $p$. Therefore, $p$ is related to $K_{p}$ by one of the following options

Which of the following graphs cannot possibly represent one dimensional motion of a particle?

The maximum number of $P-H$ bonds are contained in which of the following molecules?

Total number or voids in $0.5$ mole or compound forming hexagonal closed packed structure are