Consider the following information regarding the number of men and women workers in three factories. I, II and III. Men workers Women workers I 30 25 II 25 31 III 27 26 Represent the above information in the form of `3xx2` matrix. What does the entry in the third row and second column represent?

Consider the following information regarding the number of men and women workers in three factories I,II and III : {:(" ""Men workers"," Women workers",),(I, 30,25),(II,25,31),(III,27,26):} Represent the above information in the form of a 3xx2 matrix . What does the entry in the third row and second column represent ?

The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below: (i) Represent the information above by a bar graph. (ii) In the classroom discuss what conclusions can be arrived at from the graph.

A survey conducted by an organisation for the cause of illness and death among the women between the ages 15 - 44 (in years) worldwide, found the following figures (in %): (i) Represent the information given above graphically. (ii) Which condition is the major cause of women's ill health and death worldwide ? (iil) Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.

25% of the students in a school are girls and others are boys. Form an equation and draw a graph for this. By observing the graph, answer the following : (i) Find the number of boys, if the number of girls is 25. (ii) Find the number of girls, if the number of boys is 45. (iii) Take three different values for number of boys and find the number of girls. Similarly take three different values for number of girls and find the number of boys?

Sonika is working with the circuit shown in the following figure: The circuit has two gaps: X and y. She has wires of five different materials - I, II, III, IV and V. She knows that the bulb will light up only when both gaps are filled with conducting materials. She records her observations in a table. After completing the experiment, ink fell on the paper and she lost entries in row 3. Based on the rest of the information in the table, out of the following what could be the materials in row 3?

A string of length 1 m fixed one end and on the other end a block of mass M = 4 kg is suspended. The string is set into vibration and represented by equation y =6 sin ((pi x)/(10)) cos (100 pi t) where x and y are in cm and t is in seconds. (i) Find the number of loops formed in the string. (ii) Find the maximum displacement of a point at x = 5//3 cm (iii) Calculate the maximum kinetic energy of the string. (iv) Write down the equations of the component waves whose superposition given the wave. .

The vibrations of a string of length 60cm fixed at both ends are represented by the equation---------------------------- y = 4 sin ((pix)/(15)) cos (96 pit) Where x and y are in cm and t in seconds. (i) What is the maximum displacement of a point at x = 5cm ? (ii) Where are the nodes located along the string? (iii) What is the velocity of the particle at x = 7.5 cm at t = 0.25 sec .? (iv) Write down the equations of the component waves whose superpositions gives the above wave.

The arrangement shown consists of three elements. (i) A thin rod of charge -3.0 mu C that froms a full circule of radius 6.0 cm . (ii) A second thin rod of charge 2.0 mu C that forms a circular are of radius 4.0 cm and concentric with the full circle, subtending an angle of 90^(@) at the centre of the full circle. (iii) an electric dipole with a dipole moment that is perpendicular to a radial line and has magnitude 1.28xx10^(-21) C-m . Find the net electric potential in volts at the centre.

Answer the following : (i) Can 2 similar vectors of different magnitude yield a zero resultant? Can 3 yield? (ii) Can vec(a)+vec(b)=vec(a)-vec(b) ? (iii) If vec(a)+vec(b)=vec(c) & |vec(a)|+|vec(b)|=|vec(c)| . What further information you can have about these vectors. (iv) If vec(a) & vec(b) are two non zero vectors such that |vec(a)+vec(b)|=|vec(a)+vec(b)| , then what is the angle between vec(a) & vec(b) . (v) Time has a magnitude & direction. Is it a vector? (iv) When will vec(a)xxvec(b)=vec(a).vec(b) ? (vii) Does the unit vectors vec(i), vec(j) & vec(k) have units?

A group consists of 3 men, 2 women and 4 children. If four persons are selected at| random, find the probability of selecting : (i) 1 man, 1 woman and 2 children (ii) Exactly 2 children (iii) 2 women