elementary numerical analysis solution





Numericals
01. An object of mass 5 kg is lifted up through a distance of 2 meter. What is the work done? Solution: W = F x s Also, force acting on the object is F = mg [Newton's second law of motion] Mass of the object (m) = 5 kg Distance moved = 2m Therefore, Work done = F x s 02. How ..
Numericals
01. A body of mass 2kg is raised to a height of 25m. Calculate the potential energy possessed by the body. Solution: Mass of the body (m) = 2kg Height (h) = 25 m Potential energy of the body = mgh 02. A bag of rice weighs 75kg. To what height is it raised if the work done in lifting it is..
Numericals
01. A man of mass 60 kg runs up a flight of 60 steps in 40 seconds. If each step is 20 cm high, calculate his power. Solution : Since the man runs up a flight of steps, the work done will be equal to the potential energy. Height = height of one step x number of ste..
Solution
(i) Skeletal equation (ii) Elementary gas in atomic form (iii) Starting with KMnO 4 : K and Mn are balanced (iv) Balancing O atoms (v) Balancing H atoms (vi) Balancing Cl atoms The equation is now balanced in the atomic form. (vii) To make it molecular..
Numerical 01
A current of 0.50 ampere is passing through a CuSO 4 solution. How many Cu + + ions will be deposited on cathode in 10 second..
In inorganic qualitative analysis
ionization constant for NH4OH The concepts of solubility product and common ion effect play an important role in qualitative analysis for the separation of basic radicals (cations) into different groups. Weak acids and weak bases ionise in water slightly and an equilibrium is established in their solutions...
Atoms and Nuclei Problems - Numerical 12
12. - The half-life of 92 U 238 against alpha decay is 4.5 x 109 years. How many disintegrations per second occur in 1 g of 92 U 238 ? Suggested solution: Again, since one k mole of any isotope contains Avogadro's number of atoms, there fore 1 g of 92 U 238 contains Half life T = 4.5 10 9..
Adsorption from Solutions
Adsorption from Solutions - Adsorption of solutes from solutions also takes place on solids. Process of adsorption is used to reduce colors from solution. For e.g., raw sugar solution is decolorised by charcoal. Chromatographic separation of a mixtu..
Analytical chemistry
Buffers find extensive use in analytical chemistry, viz., both in qualitative and quantitative analysis. For example, qualitative analysis of Group III and Group IV is done in solutions buffered by NH 4 Cl + NH 4 OH. Buffers are used in the removal of interfering radi..
Solved Examples on Simplifying Fractions
Example 1. Reduce 6/12 to its lowest form. Solution : Given : 6/12 Step 1 : prime factors 2 and 3 Step 2 : common factors of numerator 2,3 and denominator 2,2,3 Step 3 : On dividing 2 and 3 in both numerator and denominator get canceled and 1 i..
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