KCET 2017

Which of the following logic gate is universal gate

Two simple pendulums $A$ and $B$ are made to oscillate simultaneously and it is found that $A$ completes 10 oscillations in 20 sec and $B$ completes 8 oscillations in 10 sec . The ratio of the length of $A$ and $B$ is

A substance of mass 49.53 g occupies $1.5 \mathrm{~cm}^3$ of volume. The density of the substance (in $\mathrm{g} \mathrm{cm}^{-3}$ ) with correct number of significant figures is

If $\mathbf{A}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}$ is perpendicular to $\mathbf{B}=4 \hat{\mathbf{j}}-4 \hat{\mathbf{i}}+\alpha \hat{\mathbf{k}}$, then the value of $\alpha$ is

In a system of two crossed polarisers, it is found that the intensity of light from the second polariser is half from that of first polariser. The angle between their pass axes is

During scattering of light, the amount of scattering in inversely proportional to................ of wavelength of light.

In Young's double-slit experiment, if yellow light is replaced by blue light, the interference fringes becomes

According to Huygens' principle, during refraction of light from air to a denser medium

The waves set up in a closed pipe are

A motor pump lifts 6 tonnes of water from a well of depth 25 m to the first floor of height 35 m from the ground floor in 20 minutes. The power of the pump (in kW ) is $\left[g=10 \mathrm{~ms}^{-2}\right.$ ]