List of top Questions asked in AMUEEE- 2015

The Nobel Prize in Chemistry in $2005$ was awarded for the work

The $pH$ of a solution obtained by mixing of $100\, mL$ of a $HCl$ solution of $pH = 2$ with $400\, mL$ of another $HCl$ solution of $pH = 3$ will be

For a weak electrolyte, a plot of a (degree of ionisation)vs $1/C$ gives

A rocket is launched vertically upward from the surface of the earth with an initial velocity of $ 10 \,km/s $ . If the radius of the earth is $ 6400 \,km $ and atmospheric resistance is negligible. Find the distance above the surface of the earth that the rocket will go.

$ : CCl_2 $ is

Find the maximum value of $|z|$ when $\left|z-\frac{3}{2}\right|=2, z$ being a complex number.

The number of possible alcohol isomers for $ C_4H_{10}O $ is

Let  \(f(x) = \begin{cases} \frac{x^3+x^2-16x+20}{(x-2)^2} & if x \neq 2 \\ b & \text{if x = 2} \end{cases}\)  If \(f(x)\) is continuous for all \(x\) , then \(b\) is equal to

Bacterial viruses usually have

The oxidation state of potassium in $KO_{2}$ is

Intramolecular hydrogen bonding is found in

$ 2 \,g $ of benzoic acid $ (C_6H_6COOH) $ is dissolved in $ 25\, g $ of benzene. The observed molar mass of benzoic acid is found to be $ 241.98 $ . What is the percentage association of acid if it forms in solution?

A wire when connected to $220\, V$ mains supply has power dissipation $P_1$. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is $P_2 \, then \, P_2 : P_1$ is

$ 0.6 \,mL $ of acetic acid is dissolved in $ 1 \,L $ of water. The value of van?t Hoff factor is $ 1.04 $ . What will be the degree of dissociation of the acetic acid?

What is the mole fraction of the solute in $ 2.5 $ molal aqueous solution?

The number of $ Cl^{-} $ ions in $ 100\, mL $ of $ 0.001\, M \,HCl $ solution is

A charge $Q$ is to be divided on two objects. The values of the charges on the objects so that the force between the objects can be maximum are

An oil drop of $ n $ excess electrons is held stationary under a constant electric field $E$ in Millikan?s oil drop experiment. The density of oil is $ \rho $ . The radius of the drop is

Let $ A = \left\{x\in R; x\ge\frac{1}{2}\right\} $ and $ B = \left\{x\in R; x\ge\frac{3}{4}\right\} $ If $ f : A \rightarrow B $ is defined as $ f(x) = x^2 - x + 1 $ , then the solution set of the equation $ f(x) = f^{-1}(x) $ is

The number of equivalence relations on the set {1, 2, 3} containing (1, 2) and (2,1) is

$ Let \,A = [a_{ij}]_{mxn} $ be a matrix such that $ a_{ij} = 1,\forall $ $ i,j. $ Then,

A proton is released from rest in a uniform electric field of magnitude $8.0\times 10^{4}\, V/m$, directed along positive $x$-axis. The proton undergoes a displacement of $0.30\,m$ in the direction of the field. What is the change in electric potential of the proton as a result of this displacement?

What will be the $pH$ of $0.1\, M$ ammonium acetate solution? $\left(p K_{a}=p K_{b}=4.74\right)$

What is the minimum volume of water required to dissolve $ 1\, g $ of calcium sulphate at $ 298 K? K_{sp} $ for $ CaSO_{4} $ is $ 9.0 \times 10^{-6} $ . (Molar mass of $ CaSO_4 = 136 \,g \,mol ^{-1}) $

Two spheres of the same material have radii $ 1 \,m $ and $ 4\, m $ and temperatures $ 4000\, K $ and $ 2000\, K $ respectively., The ratio of energy radiated per second by the first sphere to the second is