List of top Questions asked in AMUEEE

The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is $R$, the radius of the planet would be

The only integral root of the equation $ \begin{vmatrix}2-y&2&3\\ 2&5-y&6\\ 3&4&10-y\end{vmatrix} =0 $ is

$ DDT $ is

Three particles $ P, Q $ and $ R $ are at rest at the vertices of an equilateral triangle of side $ s $ . Each of the particles starts moving with constant speed $ v \,ms^{-1}. P $ is moving along $ PQ, Q $ along $ QR $ and $ R $ along $ RP $ . The particles will meet each other at time $ t $ given by

Three resistances $P, Q, R$ each of $2\, \Omega$ and an unknown resistance $S$ form the four arms of a Wheatstone bridge circuit. When a resistance of $6\, \Omega$ is connected in parallel to $S$ the bridge gets balanced. What is the value of $S$ ?

$ 50\% $ of a first order reaction is complete in $ 23 $ minutes. Calculate the time required to complete $ 90\% $ of the reaction

What weight of $ HCl $ is present in $ 155\, ml $ of a $ 0.54\, M $ solution?

What is the value of $ K_{sp} $ for bismuth sulphide $ (Bi_2S_3) $ which has a solubility of $ 1.0 \times 10^{-15} mol / L $ at $ 25^{\circ}C $ ?

When $ PCl_5 $ is heated it gasifies and dissociates into $ PCl_3 $ and $ Cl_2 $ . The density of the gas mixture at $ 200^{\circ}C $ is $ 70.2 $ . What is the degree of dissociation of $ PCl_5 $ at $ 200^{\circ}C $ .

One liter of water ( molecular weight $ 18.06 $ ) weighs $ 0.9970 \,kg $ . The degree of ionisation of water is............if $ K_w = 1.10 \times 10^{-14} $ at $ 25^{\circ}C $

Which of the following is incorrect?

Which of the followings is invert sugar?

Work done in increasing the size of a soap bubble from a radius of $ 3 \,cm $ to $ 5 \,cm $ is nearly (surface tension of soap solution $ = 0.03\, Nm^{-1} $ ).

Two wires of equal cross section, but one made up of steel and the other copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. If (Y for steel = $2.0\times 10^{11}\,Nm^{-2}$ and $Y for copper = 1.1 \times 10^{11}\,Nm^{-2}$, the ratio of the lengths of the two wires is

The molecule which is linear is

If $ y = sec(tan^{-1}x) $ , then $ \frac{dy}{dx} $ at $ x = 1 $ is

For complexes $ [NiCl_4]^{2-} $ and $ Ni(CO)_4 $ which one of the following statement is true

If $ f(x) = \frac{x}{2} -1 $ then on the interval $ [0,\pi] $

Chemical formula for ?inorganic benzene? is

An ion with a charge of $ + 32 \times 10^{-19}C $ is in a region where a uniform electric field of $ 5 \times 10^4\, V/m $ is perpendicular to a uniform magnetic field of $ 0.8 \,T $ . If its acceleration is zero, then its speed must be

An ideal gas at pressure $ P $ is adiabatically compressed so that its density becomes $ n $ times the initial value. The final pressure of the gas will be $ \left(\gamma = \frac{C_{P}}{C_{V}}\right) $

A quantity of a substance in a closed system is made to undergo a reversible process from an initial volume of $ 3 \,m^3 $ and initial pressure $ 10^5\, N/m^2 $ to a final volume of $ 5\, m^3 $ . If the pressure is proportional to the square of the volume (i.e. $ p = AV^2 $ ), the work done by the substance will be

A polygon has $44$ diagonals. The number of its sides are

If origin is the centroid of a $ \Delta PQR $ with vertices $ P(2a,2,6),Q(-4,3b,- 10) $ and $ (8,14,2c) $ , then the value of $ a,b $ and $ c $ are respectively.