List of top Questions asked in AMUEEE- 2010

If the half cell reactions are given as (i) $Fe ^{2+}(a q)+2 e^{-} \rightarrow Fe (s) ;\,\,E^{\circ}=-0.44\, V$ (ii) $2 H ^{+}(a q)+\frac{1}{2} O _{2}(g)+2 e^{-} \rightarrow H _{2} O (l)$ $E^{\circ}=+1.23\, V$ The $E^{\circ}$ for the reaction $Fe (s)+2 H ^{+}+\frac{1}{2} O _{2}(g) \rightarrow Fe ^{2+}(a q)+ H _{2} O (l)$ is

A pure inductor of $25 \,mH$ is connected to a source of $220\, V$. Given the frequency of the source as $50\, Hz$, the $rms$ current in the circuit is

A pure inductive coil of $ 30\,mH $ is connected to an $ AC $ source of $ 220 \,V $ , $ 50 \,Hz $ . The $ rms $ current in the coil is

The strongest Lewis acid among boron halides is

Let $A = \{ 0,1,2 \}$, $B =\{ 4,2,0 \}$ and $ f,g $ : $ A \rightarrow B $ be the functions defined by $ f(x) = x^2-x $ and $ g(x) = 2|x-\frac{1}{2}|-1 $ Then,

Let $f = \{ (1,1),(2,4),(0,- 2),(-1,- 5) \}$ be a linear function from $ Z $ into $ Z $ . Then, $ f (x) $ is

The ratio in which the line segment joining the points $(4, 8, 10)$ and $(6, 10, - 8)$ is divided by xy-plane is

The value of $\lambda$ for which the lines $\frac{1-x}{3}=\frac{y-2}{2\lambda}=\frac{z-3}{2}$ and $ \frac{x-1}{3\lambda}=\frac{y-1}{1}=\frac{6-z}{7}$

If $ A $ is a square matrix such that $ A^2 $ = $ A $ , then $ (I-A)^3+A $ is equal to

A fair coin is tossed $ n $ number of times. If the probability of having at least one head is more than 90%, then $ n $ is greater than or equal to

The co-ordinates of a point on the line $\frac{x-1}{2}=\frac{y+1}{-3}=z$ at a distance $4\sqrt{14}$ from the point $(1, - 1, 0)$ are

A block of mass $m$ is placed on a smooth sphere of radius $R$. It slides when pushed slightly. At what distance $h$, from the top, will it leave the sphere?

Choose the incorrect statement out of the following.

If $E, M, L$ and $G$ denote energy, mass, angular momentum and gravitational constant respectively, then the quantity $\left(E^{2} L^{2} / M^{5} G^{2}\right)$ has the dimensions of

A body $A$ is thrown up vertically from the ground with a velocity $v_{0}$ and another body $B$ is simultaneously dropped from a height $H$. They meet at a height $\frac{H}{2}$ if $v_{0}$ is equal to

The value of $ \lambda $ for which the lines $ \frac{1-x}{3} = \frac{y-2}{2\lambda}=\frac {z-3}{2} = \frac{x-1}{3\lambda} =\frac{y-1}{1} =\frac {6-z}{7} $ are perpendicular to each other is

Which of the following have been arranged in decreasing order of oxidation number of sulphur?

The most adsorbed gas on activated charcoal is