List of top Questions asked in AMUEEE- 2014

$K_{c}$ for the the reaction, $\left[ Ag ( CN )_{2}\right]^{-} \rightleftharpoons Ag ^{+}+2 CN ^{-}$, the equillibrium constant at $25^{\circ} C$ is $4.0 \times 10^{-19}$, then the silver ion concentration in a solution which was originally $0.1$ molar in $KCN$ and $0.03$ molar in $AgNO _{3}$ is :

A man running at a speed $ 5 \,m/s $ is viewed in the side view mirror of radius of curvature $ R = 2\, m $ of a stationary car. Calculate the speed of image when the man is at a distance of $ 9 \,m $ from the mirror

A thin non-conducting rod of length $50 \,cm$ has a positive charge of uniform linear density $10^{-12} \,C / m$. Find the electric potential due to the rod at a point, which is at a perpendicular distance of $1.0 \,cm$ from one-end of the rod $\left(\varepsilon_{0}=8.8 \times 10^{-12} F / m \right)$.

Adventitious buds at the leaf notches help to propagate the plant of

Which of the following curves represents the variation of total energy with radius r for a satellite in a circular orbit?

Which of the following is the largest taxon among plants in terms of the number of species ?

Which of the following names does not fit a real name?

If $ x, y $ and $ z $ are all different and $ \begin{vmatrix}x&x^{2}&1+x^{3}\\ y&y^{2}&1+y^{3}\\ z&z^{2}&1+z^{3}\end{vmatrix}=0 $ then

Let the straight line $ x = b $ divide the area enclosed by $ y = (1 - x)^2 $ , $ y = 0 $ and $ x = 0 $ into two parts $ R_1(0 \le x \le b) $ and $ R_2(b \le x \le 1) $ such that $ R_1-R_2 = \frac {1}{4}. $ Then, $b$ equals

If $ \alpha,\beta $ are the roots of the equation $ ax^2+bx+c = 0 $ and $ S_n = \alpha^n + \beta^n, $ then a $ S_{n+1} + bS_{n} + cS_{n-1} $ is equal to

Let, $\vec {a} = - \hat {i} - \hat {k}, \vec {b} = - \hat {i} +\hat {j} $ and $\vec {c} = \hat {i}+2\hat {j}+3\hat {k} $ be three given vectors. If $\vec {r} $ is a vector such that $ \vec {r} \times \vec {b} = \vec {c} \times \vec{b} $ and $\vec {r} \cdot \vec{a} = 0 $ , then the value of $\vec {r} \cdot \vec {b} $ is

If $ \int_{0}^{\frac{\pi}{3}}\frac{cos x}{3 + 4 sin x}dx = k\, log \left(\frac{3+2\sqrt{3}}{3}\right) $ then $k$ is

Arrange the following materials in the increasing order of their resistivity. Copper, Platinum, Silver, Aluminium

In a given circuit, each cell has an emf of $0.15\, V$ and internal resistance of $0.25 \, \Omega $ . Find the current in the circuit.

An exothermic chemical reaction proceeds by two stages. Reactants ${ ->[Stage\, 1] }$ Intermediate ${ ->[Stage\, 2] }$ Products The activation energy of state $I$ is $50 \,kJ$ $mol^{-1}$. The overall enthalpy change for the reaction is $-100 \,kJ$ $mol^{-1}$. Which diagram could represent the energy level diagram for the reaction?

Figure shows three particles with charges $q_{1}=2 Q, q_{2}=-2 Q$ and $q_{3}=-4 Q$, each a distance $d$ from the origin. Find the net electric field $\vec{E}$ at the origin.

In Millikans experiment, an oil drop of radius $1.64$ am and density $0.85\, g / cm ^{3}$ is suspended when a downward electric field of $1.9 \times 10^{5} \,N / C$ is applied. What is the charge on the drop in terms of $e$ ?

A uniformly charged conducting sphere of diameter $1.2 \,m$ has a surface charge density of $8.1 \,\mu C / m ^{2}$. Find the total electric flux leaving the surface of the sphere.

If three-digit numbers $ A28, 3B9 $ and $ 62C $ , where $ A, B $ and $ C $ are integers between $ 0 $ and $ 9 $ , are divisible by a fixed integer $ k $ , then the determinant $ \begin{vmatrix}A&3&6\\ 8&9&C\\ 2&B&2\end{vmatrix} $ is

If $ A = \begin{bmatrix}2&3\\ 5&-2\end{bmatrix} $ be such that $ A^{-1} = kA, $ then $ k $ is equal to

The existence of the unique solution of the system of equations $ x + y + z = \beta $ $ 5x - y + az = 10 $ $ 2x + 3y - z = 6 $ depends on

28 g of $ {{N}_{2}} $ and $6\,g$ of $ {{H}_{2}} $ were mixed. At equilibrium, $17\,g$ $ N{{H}_{3}} $ was produced. The weights of $ {{N}_{2}} $ and $ {{H}_{2}} $ at equilibrium are respectively

A gaseous mixture containing $He,\, CH _{4}$ and $SO _{2}$ was allowed to effuse through a fine hole then find what molar ratio of gases coming out initially? (Given mixture contains $He,\, CH _{4}$ and $SO _{2}$ in $1: 2: 3$ mole ratio $)$.

Which one is least reactive towards nucleophilic substitution reaction?

Set $ A $ and $ B $ have $ 3 $ and $ 6 $ elements respectively. What can be the minimum number of elements in $ A \cup B $ ?