Graphs: s vs t, v vs t and a vs t

An unstable nucleus X can decay into two stable nuclie Y and Z A sample containing only X is taken at t=0 Three graphs log_(e)(N_(x) vs t, N_(x), vs t and N_(z) vs t are drawn as shown below Here N_(x),N_(y) and N_(z) represent number of nuclei of X,Y and Z repectively at any instant. t Choose the correct choice (s) from the following :

The graph of P vs V is given at temperature and number of moles : The correct relationship is/are

An ac source of emf V=V_0 sin omegat is connected to a capacitor of capacitance C. Deduce the expression for the current (I) flowing in it. Plot the graph of (i) V vs. omegat ,and (ii) I vs. omegat

Starting at x=0 , a particle moves according to the graph of v vs t shown in . Sketch a staph of the instantaneoud acceleration a vs t , indicationg numerical values at significant points of the graph. .

Figure shows graphs of pressure vs density for an ideal gas at two temperature T_(1) and T_(2) . Which of the following is correct?

The graph of PV vs P for a gas is

The graph of P vs V is given at different temperature The correct relationship is

A (current vs time) graph of the current passing through a solenoid is shown in Fig. For which time is the back electromotive force (u) a maximum? If the back emf t = 3 s is e, find the back emf at t = 7 s, 15 s and 40 s OA, AB and BC are straight line segments.

A graph plotted between (P)/(d) vs d (where p is osmotic pressure of solution of a solute of mol. Wt. m and d is its density temperature T . Pick out the correct statements about the plots :

The graph between PV vs P at constant temperature is linear parallel to the pressure axis.