state rule

Ampere's swimming rule states that "if a man swims along the wire carrying current such that his face is always towards the magnetic needle with current entering his feet and leaving his head then the North Pole of the magnetic needle is always deflected towards his left hand"...

According to this rule, electron pairing will not take place in orbitals of same energy (same sub-shell) until each orbital is first singly filled with parallel spin. In other words in a set of orbitals having same energy (degenerate orbitals), the electrons distribute themselves to occup..

Radius Ratio Rules - For the stability of an ionic compound, each cation should be surrounded by maximum number of anions and vice versa. The number of oppositely charged ions surrounding each ion is called its co-ordination number. The larger is the size of the cation the greater is its ..

It states that when more than one orbital of equal energies are available then the electrons will first occupy these orbitals separately with parallel spins. The pairing of electrons will start only after all the orbitals of a given sub level are singly occupied. This is because electron..

State an explicit rule for the n th term of the recursively defined sequence, a n = 3 a n - 1 , a 1 = 2. Then use mathematical induction to prove the rule...

Let f be a differentiable function on I and let x 0 be any interior point of I. Then (a) If f attains its absolute maximum value at x 0 , then f ' (x 0 )= 0 (b) If f attains its absolute minimum value at x 0 , then f '(x 0 ) = 0. In view of the above theorems, we state the following ..

Nomenclature - Carl Linnaeus, father of modern botany, was a Swedish naturalist who laid the foundation of modern classification and nomenclature in 1758. He devised a binomial system of nomenclature (naming system) in which an organism is given two names: A generic name (name of genus) which it sh..

So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? Th..

The state of equilibrium in any system depends upon factors present in the system, such as temperature, pressure and concentration of various species. These factors are called reaction variables or parameters. A change in any one of the parameters may affect the position of the equi..

In the previous section, we have learnt that i) If A and B are two mutually exclusive events, then ii) Before we state and prove Baye's Theorem, we use the above two rules to state the law of total probability. The law of total probability is useful in proving Baye's t..