Saturday, April 20, 2013

Number System

S.No. Number System

Concept (All formulas and definitions)


Exercise 1.1 
1 Is zero a rational number? Can you write it in the form p/q , where p and q are integers and q ≠0? 
2 Find six rational numbers between 3 and 4. 
3 Find five rational numbers between 3/5 and 4/5. 
4 State whether the following statements are true or false. Give reasons for your answers. 

Exercise 1.2 
1 State whether the following statements are true or false. Justify your answers. 
2 Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
3 Show how √5 can be represented on the number line.√5 = √(4+1)  

Exercise 1.3 
1 Write the following in decimal form and say what kind of decimal expansion each has  
2 You know that 1/7 = 0.142857 bar . Can you predict what the decimal expansion of 2/7 , 3/7 ,4/7 , 5/7 and 6/ 7 are, without actually doing the long division? If so, how? 
3 Express the following in the form p/q , where p and q are integers and q ≠0. 
4 Express 0.99999 .... in the form p/q .Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense. 
5 What can the maximum number of digits be in the repeating block of digits in the decimal expansion of1/17? Perform the division to check your answer. Perform the division to check your answer. 
6 Look at several examples of rational numbers in the form p / q (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy? 
7 Write three numbers whose decimal expansions are non-terminating non-recurring. 
8 Find three different irrational numbers between the rational numbers5/7 and9/11 
9 Classify the following numbers as rational or irrational: 

Exercise 1.4 
1 Visualise 3.765 on the number line, using successive magnification.  
2 Visualize 4.26 on the number line, up to 4 decimal places.  

Exercise 1.5 
1 Classify the following numbers as rational or irrational: 
2 Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, . This seems to contradict the fact that π is irrational. How will you resolve this contradiction? 
3 Represent √9.3 on the number line 
4 Rationalize the denominator of the followings  

Exercise 1.6 
1 Find      (i) 641/2            (ii) 321/5          (iii)1251/3
2 find       (i) 93/2  (ii)322/5           (iii)163/4          (iv)125-1/5
3 Simplify :           (i) 22/3.21/5       (ii)(1/33)7         (iii)111/2/111/4 (iv)71/2.81/2

ncert solutions for class 9 maths

S.No. Ncert solutions for class 9 maths
1 NUMBER SYSTEMS
2 POLYNOMIALS
3 COORDINATE GEOMETRY
4 LINEAR EQUATIONS IN TWO VARIABLES
5 INTRODUCTION TO EUCLID’S GEOMETRY
6 LINES AND ANGLES
7 TRIANGLES
8 QUADRILATERALS
9 AREAS OF PARALLELOGRAMS AND TRIANGLES
10 CIRCLES
11 CONSTRUCTIONS
12 HERON’S FORMULA
13 SURFACE AREAS AND VOLUMES
14 STATISTICS
15 PROBABILITY

Friday, April 19, 2013

SOME BASIC CONCEPTS OF CHEMISTRY

S.No. SOME BASIC CONCEPTS OF CHEMISTRY
1 Calculate the molecular mass of the following :(i) H2O (ii) CO2 (iii) CH4 
2 Calculate the mass per cent of different elements present in sodium sulphate(Na2SO4). 
3 Determine the empirical formula of an oxide of iron which has 69.9% iron and30.1% dioxygen by mass. 
4 Calculate the amount of carbon dioxide that could be produced when(i) 1 mole of carbon is burnt in air.(ii) 1 mole of carbon is burnt in 16 g of dioxygen.(iii) 2 moles of carbon are burnt in 16 g of dioxygen. 
5 Calculate the mass of sodium acetate (CH3COONa) required to make 500 mL of0.375 molar aqueous solution. Molar mass of sodium acetate is 82.0245 g mol–1. 
6 Calculate the concentration of nitric acid in moles per litre in a sample whichhas a density, 1.41 g mL–1 and the mass per cent of nitric acid in it being 69%. 
7 How much copper can be obtained from 100 g of copper sulphate (CuSO4) ? 
8 Determine the molecular formula of an oxide of iron in which the mass per centof iron and oxygen are 69.9 and 30.1 respectively. 
9 Calculate the atomic mass (average) of chlorine using the following data :% Natural Abundance Molar Mass
10 In three moles of ethane (C2H6), calculate the following :(i) Number of moles of carbon atoms.(ii) Number of moles of hydrogen atoms.(iii) Number of molecules of ethane. 
11 What is the concentration of sugar (C12H22O11) in mol L–1 if its 20 g are dissolved inenough water to make a final volume up to 2L? 
12 If the density of methanol is 0.793 kg L–1, what is its volume needed for making2.5 L of its 0.25 M solution? 
13 Pressure is determined as force per unit area of the surface. The SI unit ofpressure, pascal is as shown below :1Pa = 1N m–2If mass of air at sea level is 1034 g cm–2, calculate the pressure in pascal.
14 What is the SI unit of mass? How is it defined? 
15 Match the following prefixes with their multiples: 
16 What do you mean by significant figures ? 
17 A sample of drinking water was found to be severely contaminated with chloroform, CHCl3, supposed to be carcinogenic in nature. The level of contamination was 15 ppm (by mass).
(i) Express this in percent by mass.
(ii) Determine the molality of chloroform in the water sample.
18 Express the following in the scientific notation:(i) 0.0048(ii) 234,000(iii) 8008(iv) 500.0(v) 6.0012 
19 How many significant figures are present in the following?(i) 0.0025(ii) 208(iii) 5005(iv) 126,000(v) 500.0(vi) 2.0034 
20 Round up the following upto three significant figures:(i) 34.216(ii) 10.4107(iii) 0.04597(iv) 2808 
21 The following data are obtained when dinitrogen and dioxygen react together to form different compounds :



(a) Which law of chemical combination is obeyed by the above experimental data? Give its statement. (b) Fill in the blanks in the following conversions: (i) 1 km = ...................... mm = ...................... pm (ii) 1 mg = ...................... kg = ...................... ng (iii) 1 mL = ...................... L = ...................... dm3
22 If the speed of light is 3.0 × 108 m s–1, calculate the distance covered by light in
2.00 ns.
23 In a reaction A + B2 → AB2 Identify the limiting reagent, if any, in the following reaction mixtures. (i) 300 atoms of A + 200 molecules of B (ii) 2 mol A + 3 mol B (iii) 100 atoms of A + 100 molecules of B (iv) 5 mol A + 2.5 mol B (v) 2.5 mol A + 5 mol B 
24 Dinitrogen and dihydrogen react with each other to produce ammonia according to the following chemical equation: N2 (g) + H2 (g) → 2NH3 (g) (i) Calculate the mass of ammonia produced if 2.00 × 103 g dinitrogen reacts with 1.00 ×103 g of dihydrogen. (ii) Will any of the two reactants remain unreacted? (iii) If yes, which one and what would be its mass? 
25 How are 0.50 mol Na2CO3 and 0.50 M Na2CO3 different? 
26 If ten volumes of dihydrogen gas reacts with five volumes of dioxygen gas, how many volumes of water vapour would be produced? 
27 Convert the following into basic units: (i) 28.7 pm (ii) 15.15 pm (iii) 25365 mg 
28 Which one of the following will have largest number of atoms? (i) 1 g Au (s) (ii) 1 g Na (s) (iii) 1 g Li (s) (iv) 1 g of Cl2(g) 
29 Calculate the molarity of a solution of ethanol in water in which the mole fraction of ethanol is 0.040. 
30 What will be the mass of one 12C atom in g ? 
31 How many significant figures should be present in the answer of the following
calculations?
32 Use the data given in the following table to calculate the molar mass of naturally
occuring argon isotopes:
33 Calculate the number of atoms in each of the following (i) 52 moles of Ar
(ii) 52 u of He (iii) 52 g of He.
34 A welding fuel gas contains carbon and hydrogen only. Burning a small sample
of it in oxygen gives 3.38 g carbon dioxide , 0.690 g of water and no other products.
A volume of 10.0 L (measured at STP) of this welding gas is found to weigh 11.6 g.
Calculate (i) empirical formula, (ii) molar mass of the gas, and (iii) molecular
formula.
35 Calcium carbonate reacts with aqueous HCl to give CaCl2 and CO2 according to
the reaction, CaCO3 (s) + 2 HCl (aq) → CaCl2 (aq) + CO2(g) + H2O(l)
What mass of CaCO3 is required to react completely with 25 mL of 0.75 M HCl?
36 Chlorine is prepared in the laboratory by treating manganese dioxide (MnO2) with
aqueous hydrochloric acid according to the reaction
4 HCl (aq) + MnO2(s) → 2H2O (l) + MnCl2(aq) + Cl2 (g)
How many grams of HCl react with 5.0 g of manganese dioxide?

ncert solutions for class 11 chemistry

S.No. Ncert solutions for class 11 chemistry
1 Some Basic Concepts of Chemistry  
2 Structure of Atom 
3 Classification of Elements and Periodicity in Properties 
4 Chemical Bonding and Molecular Structure 
5 States of Matter 
6 Thermodynamics 
7 Equilibrium 
8 Redox Reactions 
9 Hydrogen
10 The s-Block Elements
11 The p-Block Elements 
12 Organic Chemistry – Some Basic Principles and Techniques 
13 Hydrocarbons 
14 Environmental Chemistry 

ncert chemistry class 11


CBSE sample paper biology class 12

solved sample paper bilogy 12 with marking