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ISC (Commerce) Class 12 - CISCE Important Questions

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An element with density 2.8 g cm–3 forms a f.c.c. unit cell with edge length 4 x 10–8 cm. Calculate the molar mass of the element.

(Given : NA = 6.022 x 1023 mol –1)

Appears in 3 question papers
Chapter: [0.02] States of Matters: Structure and Properties Solid State
Concept: Calculations Involving Unit Cell Dimensions

Write the IUPAC name of the given compound:

Appears in 3 question papers
Chapter: [0.07] Coordination Compounds
Concept: Nomenclature of Coordination Compounds - Naming of Mononuclear Coordination Compounds

When a co-ordination compound CrCl3.6H2O is mixed with AgNO3, 2 moles of AgCl are precipitated per mole of the compound. Write

(i) Structural formula of the complex.

(ii) IUPAC name of the complex.

Appears in 3 question papers
Chapter: [0.07] Coordination Compounds
Concept: Nomenclature of Coordination Compounds - Naming of Mononuclear Coordination Compounds

Write down the IUPAC name of the following complex: [Cr(NH3)2Cl2(en)]Cl (en = ethylenediamine)

Appears in 3 question papers
Chapter: [0.07] Coordination Compounds
Concept: Nomenclature of Coordination Compounds - Naming of Mononuclear Coordination Compounds

Draw the geometrical isomers of complex [Pt(NH3)2Cl2].

Appears in 3 question papers
Chapter: [0.07] Coordination Compounds
Concept: Isomerism in Coordination Compounds > Stereoisomerism

Write the IUPAC name of the complex [Cr(NH3)4 Cl2]Cl.

Appears in 3 question papers
Chapter: [0.07] Coordination Compounds
Concept: Nomenclature of Coordination Compounds - Naming of Mononuclear Coordination Compounds

Using IUPAC norms write the formulae for Potassium trioxalatoaluminate(III)

Appears in 3 question papers
Chapter: [0.07] Coordination Compounds
Concept: Importance and Applications of Coordination Compounds

What is meant by positive deviations from Raoult's law? Give an example. What is the sign of ∆mixH for positive deviation?

Appears in 3 question papers
Chapter: [1.01] Raoult's law and colligative properties
Concept: Vapour Pressure of Liquid > Vapour Pressure of Liquid- Liquid Solutions

The rate constant for the first-order decomposition of H2O2 is given by the following equation:

`logk=14.2-(1.0xx10^4)/TK`

Calculate Ea for this reaction and rate constant k if its half-life period be 200 minutes.

(Given: R = 8.314 JK–1 mol–1)

Appears in 3 question papers
Chapter: [3.05] The concept of energy
Concept: Temperature Dependence of the Rate of a Reaction

What is rate of reaction?

Appears in 3 question papers
Chapter: [3.08] Rate of Reaction
Concept: Rate of a Chemical Reaction

From the given cells:

Lead storage cell, Mercury cell, Fuel cell and Dry cell

Answer the following:

(i) Which cell is used in hearing aids?

(ii) Which cell was used in Apollo Space Programme?

(iii) Which cell is used in automobiles and inverters?

(iv) Which cell does not have long life?

Appears in 3 question papers
Chapter: [6.02] Galvanic cells, mechanism of current production in a galvanic cell;
Concept: Batteries > Primary Batteries

State any three points of importance of business environment

Appears in 3 question papers
Chapter: [0.01] Business Environment
Concept: Concept of Business Environment

The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and their monthly expenditures are in the ratio 5 : 7. If each saves Rs 15,000 per month, find their monthly incomes using matrix method. This problem reflects which value?

Appears in 3 question papers
Chapter: [0.021] Matrices and Determinants
Concept: Inverse of Matrix > Inverse of a Square Matrix by the Adjoint Method
 

If ` f(x)=|[a,-1,0],[ax,a,-1],[ax^2,ax,a]| ` , using properties of determinants find the value of f(2x) − f(x).

 
Appears in 3 question papers
Chapter: [0.021] Matrices and Determinants
Concept: Properties of Determinants

Three schools A, B and C organized a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand made fans, mats and plates from recycled material at a cost of Rs 25, Rs 100 and Rs 50 each. The number of articles sold are given below:

SchoolArticle      
A B C
Hand-fans 40 25 35
Mats 50 40 50
Plates 20 30 40

Find the funds collected by each school separately by selling the above articles. Also find the total funds collected for the purpose.

Write one value generated by the above situation.

Appears in 3 question papers
Chapter: [0.021] Matrices and Determinants
Concept: Multiplication of Two Matrices

Using properties of determinants, prove that

`|[b+c , a ,a  ] ,[ b , a+c, b ] ,[c , c, a+b ]|` = 4abc 

Appears in 3 question papers
Chapter: [0.021] Matrices and Determinants
Concept: Properties of Determinants

If x = a sin 2t (1 + cos2t) and y = b cos 2t (1 – cos 2t), find the values of  `dy/dx `at t = `pi/4`

Appears in 3 question papers
Chapter: [0.031] Continuity, Differentiability and Differentiation
Concept: Derivatives of Functions in Parametric Forms

Find `intsqrtx/sqrt(a^3-x^3)dx`

Appears in 3 question papers
Chapter: [0.033] Integrals
Concept: Methods of Integration: Integration by Substitution

Integrate the following w.r.t. x `(x^3-3x+1)/sqrt(1-x^2)`

Appears in 3 question papers
Chapter: [0.033] Integrals
Concept: Evaluation of Simple Integrals of the Following Types and Problems

Evaluate :

`∫_(-pi)^pi (cos ax−sin bx)^2 dx`

Appears in 3 question papers
Chapter: [0.033] Integrals
Concept: Evaluation of Definite Integrals by Substitution
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