beginning of modern atomic theory

Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (1+x) n . This can be done by expanding (1+x) n to certain terms and then locating the required term. Generally this becomes a tedious task. In such cases, we begin by evaluating t..

Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (1+x) n . This can be done by expanding (1+x) n to certain terms and then locating the required term. Generally this becomes a tedious task. In such cases, we begin by evalu..

Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (a + b) n . This can be done by expanding (a + b) n and then locating the required term. Generally this becomes a tedious task, specially when the index n is large. In such cases, we be..

The binomial coefficients in (a + b) n , which are equidistant from beginning and end are equal. The binomial coefficients in the expansion of (a + b) n can be easily evaluated by using the Pascal's triangle given below: In the Pascal's triangle, each row starts and ends with 1 and each c..

. (v) The thickness of a metal wire is 0.02 cm. The unit of accuracy required is hundredth of a centimeter. Therefore, only digit 2 is significant. The 0 after decimal indicates the magnitude of measurement. Therefore, the 0 after decimal point is not significant. .02 cm has one significant figure...

> remains greater than T r . As r increases, cannot be always greater than 1. In the beginning T r + 1 increases and after a certain stage, it starts decreasing. T r + 1 is the greatest term where r is the greatest integer satisfyi..

>Here, a and b may be any numbers. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r b r . (r + 1) t h term at the end in th..

In view of new discoveries about atoms, Dalton's atomic theory was modified as given below: * Atom is no longer indivisible as it has a complex structure of sub atomic particles (electrons, protons and neutrons). * Atoms of..

Dalton's Atomic Theory Modern Atomic Theory All matter is made up of extremely small particles called atoms An element is made up of extremely small particles called atoms Atoms are indivisible a..

The mass of 1/12 part of 12 C isotope of carbon is equivalent to one atomic mass uni..