In the adjoining figure,three capacitors $C_1, C_2,$ and $C_3$ are connected to a battery. The correct condition will be (Symbols have their usual meanings):

$A$ candidate takes three tests in succession and the probability of passing the first test is $p$. The probability of passing each succeeding test is $p$ if he passes the preceding one,or $\frac{p}{2}$ if he fails the preceding one. The candidate is selected if he passes at least two tests. The probability that the candidate is selected is:

The chemiosmotic coupling hypothesis of oxidative phosphorylation proposes that adenosine triphosphate $(ATP)$ is formed because

The electronic configuration of the phosphide ion $(P^{3-})$ is similar to that of:

Two solutions of $KNO_3$ and $CH_3COOH$ are prepared separately. The molarity of both is $0.1 \ M$ and their osmotic pressures are $P_1$ and $P_2$ respectively. The correct relationship between the osmotic pressures is:

In a bicycle,the radius of the rear wheel is twice the radius of the front wheel. If $r_F$ and $r_r$ are the radii,and $v_F$ and $v_r$ are the velocities of the highest points of the front and rear wheels respectively,then: