The probability of the simultaneous occurrence of two events A and B is p. If the probability that exactly one of A,B occurs is q, then

A gas in an open container is heated from 27°C to 127°C. The fraction of the original amount of gas remaining in the container will b

For such questions, we should know idea gas equation. We have to be careful about constant and variable values. And we always have to convert the temperature into Kelvin. To convert the temperature in °C into Kelvin, we add 273 to it.

If the sum of the ordinate and the abscissa of a point is (where are natural numbers) then the probability that does not line on the line is

1 mole of N₂O₄ (g) at 300 K is kept in dosed container under 1 atm. It is heated to 600K when 20% mass of N₂O₄(g) decomposes to NO₂(g). The resultant pressure is

If the minimum value of the expression can be expressed in the form where a, b N and are in their lowest term then the value of (a + b) equals

Consider the lines represented parametically as
L₁ :
L₂ :
Find equation of the plane P containing the line L₂ and parallel to the line L₁, is

let l ,m,n be the D.Cs of a vector and a,b,c are three numbers such that a,b,c are proprotionals to l,m,n i.e, are direction rations

be a vector having drs the angle between two lines whose DCs are is
A vector has length 21 and drs 2,3,6 the dcs of when makes an obtuse angle with x-axis is

equals to

If A = , then det (adj. (adj. A)) is

Let S be a set containing n elements. Then the total number of binary operations on S is

is equal to

The sum of

If x is nearly equal to 1 such that , then the value of l is

Greatest term (numerically) in the expansion of if and is

Co-efficient of in the expansion of is

The removal of two atoms or groups, one generally hydrogen and the other a leaving group resulting in the formation of unsaturated compound is known as elimination reaction.

In (elimination) reactions, the bond is broken heterolytic ally (in step 1) to form a carbocation (as in reaction) in which ) is lost (rate determining step). The carbocation (in step 2) loses a proton from the -carbon atom by a base (nucleophile) to form an alkene. reaction is favoured in compounds in which the leaving group is at secondary or tertiary position. In formed simultaneously. reactions occur in one step through a transition state.

reactions are most common in haloalkanes (particularly, ) and better the leaving group higher is the reaction. In reactions, both the leaving groups should be antiplanar.
cb (Elimination unimolecular conjugate base) reaction involves the removal of proton by. a conjugate base (step 1) to produce carbanion which loses a leaving group to form an alkene (step 2) and is a slow step.
2-Bromobutane on heating with concentrated solution of alcoholic KOH gives major product as: