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Write an algebriac expression for distan...

Write an algebriac expression for distance using speed and time, simple interest to be paid, using principal and the rate of simple interest.
Can you think of two more such situations, where we can express in algebraic expressions?

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Write an algebraic expression using speed and time to calculate the distance simple interest to be paid, using principal, time and the rate of simple interest.

Write some daily life situations where we can use large numbers.

Radioactive decay is a statisticle process i.e., we cannot precisely predict the timing of a particular radioactivity of a particular nucleus . The nucleus can disintegrate immediately or it may take infinite time . Simply the probability of the number of nuclei being disintegrated at any instant can be predicted . the rate at which a particular decay process in a radioactive sample is directly proportional to the number of radioactive nuclei present and thus obeys first order kinetics . the factor dN/N expresses the fraction of nuclei decayed in time dt. t_(1//2) is the time in which half of the atoms are decayed and average life is the time for the nucleus to survive before decay . A freshly prepared radioactive source of half period 2 hour emits radiations on intensity which is 64 times of the permissible safe level. The minimum time after which it would be possible to work with this source is :

Radioactive decay is a statisticle process i.e., we cannot precisely predict the timing of a particular radioactivity of a particular nucleus . The nucleus can disintegrate immediately or it may take infinite time . Simply the probability of the number of nuclei being disintegrated at any instant can be predicted . the rate at which a particular decay process in a radioactive sample is directly proportional to the number of radioactive nuclei present and thus obeys first order kinetics . the factor dN/N expresses the fraction of nuclei decayed in time dt. t_(1//2) is the time in which half of the atoms are decayed and average life is the time for the nucleus to survive before decay . Which of the following relation is correct ? (t_(1//2) and t_(3//4) are time required to complete half and 3/4 decay respectively )

Radioactive decay is a statisticle process i.e., we cannot precisely predict the timing of a particular radioactivity of a particular nucleus . The nucleus can disintegrate immediately or it may take infinite time . Simply the probability of the number of nuclei being disintegrated at any instant can be predicted . the rate at which a particular decay process in a radioactive sample is directly proportional to the number of radioactive nuclei present and thus obeys first order kinetics . the factor dN/N expresses the fraction of nuclei decayed in time dt. t_(1//2) is the time in which half of the atoms are decayed and average life is the time for the nucleus to survive before decay . 75 atoms of a radioactive species are decayed in 2 half lives (t_(1//2) = 1 hr ) if 100 atoms are taken initially . Number of atoms decayed if 200 atoms are taken in 2 hr are :

The instantaneous rate of an elementary chamical reactkon aA+bBhArr cC+dD can be given by rate =K_(f)[A]^(a)[B]^(b)-K_(b)[C]^(c)[D]^(d) where K_(f) and K_(b) are rate constants for forward and backward reactions respectively for the reversible reaction. If the reaction is an irreversible one, the rate is expressed as, rate =K[A]^(a)[B]^(b) where K is rate contant for the given irreversible rate of disappearance of A is a/b times the rate of disappearance of B. The variation of rate constant K with temperature is expressed in terms of Arrhenius equation: K=Ae^(-E_(a)//RT) whereas the ratio (K_(f))/(K_(b)) is expressed in terms of van't Hoff isochore: (K_(f))/(K_(b))=Ae^(-DeltaH//RT) , where E_(a) and DeltaH are energy of activation and heat of reaction respectively. For a gaseous phase -I order reaction A(g)toB(g)+2C(g) (rate constant K=10^(-2)"time"^(-1) ) in a closed vesel of 2 litre containing 5 mole of A(g) at 27^(@)C which of the following is correct?

The instantaneous rate of an elementary chamical reactkon aA+bBhArr cC+dD can be given by rate =K_(f)[A]^(a)[B]^(b)-K_(b)[C]^(c)[D]^(d) where K_(f) and K_(b) are rate constants for forward and backward reactions respectively for the reversible reaction. If the reaction is an irreversible one, the rate is expressed as, rate =K[A]^(a)[B]^(b) where K is rate contant for the given irreversible rate of disappearance of A is a/b times the rate of disappearance of B. The variation of rate constant K with temperature is expressed in terms of Arrhenius equation: K=Ae^(-E_(a)//RT) whereas the ratio (K_(f))/(K_(b)) is expressed in terms of van't Hoff isochore: (K_(f))/(K_(b))=Ae^(-DeltaH//RT) , where E_(a) and DeltaH are energy of activation and heat of reaction respectively. For an elementary reaction aAto product, the graph plotted log([-d[A]])/(dt) vs log[A]_(t) gives a straight line with intercept equal to 0.6 and showing an angle of 45^(@) then

The instantaneous rate of an elementary chamical reactkon aA+bBhArr cC+dD can be given by rate =K_(f)[A]^(a)[B]^(b)-K_(b)[C]^(c)[D]^(d) where K_(f) and K_(b) are rate constants for forward and backward reactions respectively for the reversible reaction. If the reaction is an irreversible one, the rate is expressed as, rate =K[A]^(a)[B]^(b) where K is rate contant for the given irreversible rate of disappearance of A is a/b times the rate of disappearance of B. The variation of rate constant K with temperature is expressed in terms of Arrhenius equation: K=Ae^(-E_(a)//RT) whereas the ratio (K_(f))/(K_(b)) is expressed in terms of van't Hoff isochore: (K_(f))/(K_(b))=Ae^(-DeltaH//RT) , where E_(a) and DeltaH are energy of activation and heat of reaction respectively. The variation of rate constant K and (K_(f))/(K_(b)) with temperature shows the following effects: For endothrmic reaction when T increases then K increases and (K_(f))/(K_(b)) also increases. (ii) For endothemic reaction when T decreases then K decreases and (K_(f))/(K_(b)) also decreases. (iii) For exothermic when T increases then K and (K_(f))/(K_(b)) both increases. (iv) For exothermic reaction when T decreases then K increases and (K_(f))/(K_(b)) decrease. (v) For exothermic reaction when T increases thenK and (K_(f))/(K_(b)) both decrease.

It is very commonly thought that the sciences and humanities are producing two cultures which are opposed to each other. Science is even accused of not being sympathetic to the well-being of society. All this is due to the debatable use made by some scientists of their discoveries. However, science has now become increasingly aware of its responsibility towards society. Consequently, many scientists are of the opinion that science should be defined in humanistic terms. According, I.I. Rabi defines science as follows : "Science is an adventure of the whole human race to learn to live in and perhaps to love the universe in which they are. To be a part of it is to understand it, to understand oneself, to begin to feel that there is a capacity within man far beyond that he felt he had, of an infinite extension of human possibilities - not just on the material side..." Rabi proposes that science be taught “with a certain historical understanding, with a certain philosophical understanding, with a social understanding and a human understanding". At the moment, we are dealing with physics and one might well ask if we can define physics also in humanistic terms. Gerald Halton provides us with a relevant definition of physics. According to him : "Physics is a sequence of related ideas whose pursuit provides one with the cumulative effect of an even higher vantage point and a more encompassing view of the working of nature. Physics is neither an isolated bloodless body of facts and theories with mere vocational usefulness, nor a glorious entertainment restricted to an elite of specalists. Rather students of physics may leave them unprepared for their own time. They can be neither participants nor even intelligent spectators in one of the great adventures”. It will be no exaggeration if we say that the fate of society is linked to physics as whatever is thought or discovered in physics immediately affects the society. Our intellegence lies in applying physics to solve the pressing problems that the society faces and not to annihilate it. According to I.I Rabi