In a series $LCR$ circuit,what will be the nature of the circuit for frequencies higher than the resonance frequency?

The angle of elevation of an object from a point $P$ on the level ground is $\alpha$. Moving $d$ metres on the ground towards the object,the angle of elevation is found to be $\beta$. Then the height (in metres) of the object is

Water rises in a capillary tube of radius $r$ to a height $h$. The mass of water in the capillary is $m$. What will be the mass of water that rises in a capillary tube of radius $\frac{r}{3}$?

The following observations were taken for determining the surface tension $T$ of water by the capillary method:
Diameter of capillary,$D = 1.25 \times 10^{-2} \ m$
Rise of water,$h = 1.45 \times 10^{-2} \ m$
Using $g = 9.80 \ m/s^2$ and the simplified relation $T = \frac{rhg}{2} \times 10^3 \ N/m$,the possible error in surface tension is closest to ......... $\%$

$y+x^2=\frac{dy}{dx}$ has the solution

Two identical particles are moving with same velocity $v$ as shown in the figure. If the collision is completely inelastic,then: