List of top Questions asked in AMUEEE

Leaf tendrils are found in

In the lead-acid battery during charging, the cathode reaction is

The complex number $ z = x + iy $ satisfy the equation $ |\frac {z-5i}{z+5i}| = 1 $ lies on

The equation of the curve satisfying the differential equation $ y(x+y^3)dx = x(y^3- x)dy $ and passing through the point $ (1, 1) $ is

The length of the perpendicular drawn from $(1,2,3)$ to the line $ \frac{x-6}{3} = \frac {y-7}{2} = \frac {z-7}{-2} $ is

Given that $ \int_{0}^{\infty}\frac{x^{2}}{\left(x^{2}+a^{2}\right)\left(x^{2}+b^{2}\right)\left(x^{2}+c^{2}\right)} $ dx = $ \frac{\pi}{2\left(a+b\right)\left(b+c\right)\left(c+a\right)'} $ then $ \int_{0}^{\infty}\frac{dx}{\left(x^{2}+4\right)\left(x^{2}+9\right)} $ is

For all real $ x, 4^{sin^2x}+ 4cos^{2x} $ is

$ lim_{n\rightarrow \infty} \frac {(n!)^{1/n}}{n} $ equals

The equation $ \sqrt{\left(x-2\right)^{2}+y^{2}}+\sqrt{\left(x+2\right)^{2}+y^{2}}=4 $ represents

If $ C_o, C_1,C_2,....C_{15} $ are the binomial coefficients in the expansion of $ (1+x)^{15} $ then $ \frac {C_1}{C_o} +\frac {2C_2}{C_1}+\frac {3C_3}{C_2} +....+\frac {15C_{15}}{C_{14}} $ is equal to

For an amplitude modulated wave the maximum amplitude is found to be $ 10\,V $ while the minimum amplitude is found to be $ 2V $ , the modulation index is

Floral formula of family-Fabaceae is

Chalazogamy is shown by

At a certain time a particle has a speed of $18\, m/s$ in positive x-direction and $2.4\, s$ later its speed was $30\, m/s$ in the opposite direction. What is the magnitude of the average acceleration of the particle during the $2.4\, s$ interval?

Astronomical unit $(Au)$ is the average distance between the earth and sun approximately $1.5 \times 10^{8} km$. The speed of light is about $3.0 \times 10^{8} m / s$. The speed of light in astronomical unit per minute is

Amorphous solids are characterised by property as

Adjacent nucleotides are joined by a

A triangular loop of side $ 1 $ carries a current $ i $ . It is placed in a magnetic field $ B $ , such that the plane of the loop is in the direction of $ B $ . The torque on the loop is

A solid sphere falls with a terminal velocity of $20\, m/s$ in air. If it is allowed to fall in vacuum?

A shell fired from a gun at sea level rises to a maximum height of $ 5\, km $ when fired at a ship $ 20 \,km $ away. The muzzle velocity should be

A quarter horse power motor runs at a speed of $ 600\, rpm $ . Assuming $ 40\% $ efficiency, the work done by the motor in the one rotation will be

A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is $B$. It is then bent into a circular coil of $n$ turns. The magnetic field at the centre of this coil of $n$ turns will be

The electronegativity of elements helps in predicting

A decline in population size will be in the stimulation

Verhulst-PearP is associated with the equation