Four resistances of $15\mathrm{\Omega },12\mathrm{\Omega },4\mathrm{\Omega }$ $$ and $$ $10\mathrm{\Omega }$ respectively in cyclic order to form Whetstone's network. The resistance that is to be connected in parallel with the resistance of $10\mathrm{\Omega }$  to balance the network is

Current measured by the ammeter (A) in the reported circuit when no current flows through $10\Omega$ resistance, will be A.

A ball is projected with a velocity, $10{\mathrm{m}\mathrm{s}}^{-1}$ , at an angle of ${60}^{?}$  with the vertical direction, its speed at the highest pint of its trajectory will be :

The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of 15Ω resistance is connected across BD. Calculate the current through the galvanometer when a potential difference of 10V is maintained across AC.

In a meter bridge experiment, for measuring unknown resistance ‘S’, the null point is obtained at a distance 30cm from the left side as shown at point D. If R is 5.6 $k\Omega$ , then the value of unknown resistance ‘S’ will be ___________ $\Omega .$

Four resistance $40\mathrm{\Omega },60\mathrm{\Omega },90\mathrm{\Omega }$ , and $110\mathrm{\Omega }$ make the arms of a quadrilateral ABCD. Across $AC$ is a battery of emf  $40\mathrm{V}$ and internal resistance negligible. The potential difference across $BD$ in $V$ is