A person has 2 parents, 4 grand parents, 8 great-grand parents, and so on. Find the number of ancestors during the ten generations preceding his own.

A water tank has steps inside it. A monkey is sitting on the topmost step(i.e., the first step). The water level is at the ninth step. If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following, (a) -3+2 -..= -8 (b) 4-2+...= 8. In (a) the sum (-8) represents going down by eight steps. So, what will the sum 8 in (b) represent?

A water tank has steps inside it . A monkey is sitting on the top most step (i.e . The first step).The water level is at the ninth step . If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers , represents his moves in part (i) and (ii) by completing the following (a) -3+2-.....=-8 (b) 4-2+.....=8 . In (a) the sum (-8) represents going down by eight steps .So what will the sum 8 in (b) represent?

Sohan has x children by his first wife. Geeta has (x+1) children by her first husband. The marry and have children of their own. The whole family has 24 children. Assuming that two children of the same parents do not fight, prove that the maximum possible number of fights that can take place is 191.

An infinite number of charges, each equal to q are placed along X-axis at x=1,x=2,x=4, x=8,………… and so on. Find electric field at the point x ne 0 due to this set of charges.

Fuel cells convert the energy produced during the combustion of fuels cells directly into electrical energy. Probably the most successful fuel cell so far is hydrogen oxygen fuel cell, which has ben used in spacecraft. The electrodes consist of porous screens of titanium coated with a layer of platinum catalyst. concentrated KOH or NaOH soloution is placed beween the electrodes to serve the as electrolyte. hydrogen and oxygen gases are bubbled through the porous electrodes into the electrolyte solution The following electrodes reactions occur: At anode: 2H_2(g)+4OH^(-)(aq)rarr4H_2O(l)+4bare At cathode: O_2(g)+2H_2O(l)+4barerarr4Oh^-(aq) Overall reaction: 2H_2(g)+O_2(g)rarr2H_2O(l) In this cell, the gaseous materials are consumed and continously supplied. The thermodynamic properties of fuel cell reaction at 25^@C are: DeltaH^@=-285.8kJ mol^-1,DeltaG^@=-237.2kJ mol^-1, E^@=1.23V If the potential of the half cell reaction is at cathode is, E^@=0.41V , then E^@ for the half cell reaction at anode is

A person on tour has $ 360 for his daily expenses. If he exceeds his tour programme by 4 days he must cut down his daily expenses by $ 3 per day. Find the number of days of his tour programme.

Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where k is some unknown constant.: P(X=x)={(0.1,,if,,x=0),(kx,,if,,x=1or2),(k(5-x),,if,,x3or4),(0,,,,otherwise):} Find the value of k.