In the equation $\log\ S = \log\ C + Z\ \log\ A$,what does $C$ represent?

From the ground state electronic configuration of the elements given below,pick the one with the highest value of second ionisation energy.

$A$ stunt man jumps his car over a crater as shown (neglect air resistance).

The point of intersection of tangents at the ends of the latus-rectum of the parabola $y^2 = 4x$ is

In the sequence of sets $(1,2,3), (4,5,6), (7,8,9,10), \ldots$,the sum of elements in the $50^{th}$ set is

$A$ particle executes $SHM$ on a straight line path. The amplitude of oscillation is $2 \, cm$. When the displacement of the particle from the mean position is $1 \, cm$,the numerical value of the magnitude of acceleration is equal to the numerical value of the magnitude of velocity. The frequency of $SHM$ is (in $s^{-1}$):