The National Institute of Open Schooling solved TMA 2018-19: 2016-10-09

Saturday, 15 October 2016

The moment of inertia of a thin rod of mass M and length L about an axis passing through its centre and normal to its length is given by ML2 /12. Using theorem of parallel axes, find its moment of inertia about an axis passing through on end and normal to its length, if L = 1m and M = 0.2 Kg.@9599608544

Consider two planets A and B. The mass of planet B is 0.012 times the mass of planet A and its radius is 0.3 times the radius of planet A. If the acceleration due to gravity at the planet A is 10 m/s2 , calculate the corresponding value at planet B.@9599608544

Consider two planets A and B. The mass of planet B is 0.012 times the mass of planet A and its radius is 0.3 times the radius of planet A. If the acceleration due to gravity at the planet A is 10 m/s2 , calculate the corresponding value at planet B.

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An object is projected at an angle of elevation of 450 with a velocity of 100 m/s. Calculate its (i) range (ii) time of flight@9599608544

An object is projected at an angle of elevation of 450 with a velocity of 100 m/s. Calculate its
(i) range
(ii) time of flight

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(i) The maximum height reached by the ball (ii) The time taken by the ball to reach the maximum height.@9599608544

A ball is thrown vertically upward with a velocity of 19.6 m/s. Find
(i) The maximum height reached by the ball
(ii) The time taken by the ball to reach the maximum height.

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Give an example of each of the following? (i) Scalar quantity (i) Vector quantity (i) Unit vector (i) A physical quantity which is expressed as vector product of two vectors.@9599608544

Give an example of each of the following?
(i) Scalar quantity
(i) Vector quantity
(i) Unit vector
(i) A physical quantity which is expressed as vector product of two vectors.

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IMPORTANCE OF TMA?? BENEFITS OF TMA /ASSIGNMENT

> During your course of study, internal assessment will be done to inform your progress through Tutor Marked Assignments (TMAs).
>TMA in Secondary/Senior examination will carry 20% weight age of theory as continuous and comprehensive evaluation.
> Marks will be shown in the mark-sheet along with the marks of external examination which will carry 80% weight age in each subject.
> TMA Serve as an academic tool to prompt you/your knowledge.
>TMA Develop rapport between you and the tutors at the Study Centers. (PCPs)
> TMAs help learners to know their progress and attainment level and develop regular study habits.
> TMA should be submitted before appearing in the Public Examination of the particular subject.
MOST IMPORTANT

The session 2016-17, 20% weight age of theory would be given to Internal Assessment. The public examination would cover remaining 80% of weight age of theory. There of those learners who do not submit their Assignments would be declared on the basis of Public Examination.
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Conduct a survey at population in your locality taking a sample of atleast 50 families. Prepare a project report with respect to the following points: (i) Represent the data showing age using class intervals. (ii) Compute the average income of the families. (iii) Literacy level of the population in terms of Elementary, Secondary, Senior Secondary, Graduation and above. (iv) Find the variance of the income of the families. (v) Represent the data in part (iii) with the help of bar graph. @9599608544

Conduct a survey at population in your locality taking a sample of atleast 50 families. Prepare a project report with respect to the following points:
(i) Represent the data showing age using class intervals.
(ii) Compute the average income of the families.
(iii) Literacy level of the population in terms of Elementary, Secondary, Senior Secondary, Graduation and above.
(iv) Find the variance of the income of the families.
(v) Represent the data in part
(iii) with the help of bar graph.

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Observe a one-day cricket match to be held in the year 2016. Prepare a project report indicating the performance and comparision with respect to the following ponits:

(i) Range of the individual scores of the players.
(ii) Compute team wise mean deviation score.
(iii) Prepare teamwise grouped frequency distribution tables, showing the number of overs as class intervals and corresponding scores as frequencies.
(iv) Represent the above requency distribution table (Part iii) with the help of histogrames

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A television channel is showing programmes x, y and z. A survey has been conducted which reveals the following facts: 60% of population watch programme x, 50% watch programme y and 47% watch programme z. 28% watch both x and y programmes, 23% watch both x and z, 18% watch both y and z, 8% watch all the three programmes. Find the following: (i) What percentage of population watch programme x and y but not z? (ii) What percentage of population do not watch any of the programmes? (See Lesson-1)@9599608544

A television channel is showing programmes x, y and z. A survey has been conducted which reveals the following facts: 60% of population watch programme x, 50% watch programme y and 47% watch programme z. 28% watch both x and y programmes, 23% watch both x and z, 18% watch both y and z, 8% watch all the three programmes. Find the following:
(i) What percentage of population watch programme x and y but not z?
(ii) What percentage of population do not watch any of the programmes? (See Lesson-1)

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A and B are equally good tennis players. Which of the following two events is more probable? (i) A beats B exactly in 3 games out of 4. (ii) A beats B exactly in 5 games out of 8.@9599608544

A and B are equally good tennis players. Which of the following two events is more probable?
(i) A beats B exactly in 3 games out of 4.
(ii) A beats B exactly in 5 games out of 8.

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Find the area of the triangle formed by the lines joining the vertex of the parabola x2 = 12y to the end points of its latus rectum.@9599608544

Find the area of the triangle formed by the lines joining the vertex of the parabola x2 = 12y to the end points of its latus rectum.

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Find the area of an equilateral triangle inscribed in the circle x2+y2 - 6x + 2y – 15 = 0.@9599608544

Find the area of an equilateral triangle inscribed in the circle x2+y2 - 6x + 2y – 15 = 0.

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A ray of light passing through the point B (1, 2) reflects on the x-axis at point A and the reflected ray passed through the point C (5, 3). Find the coordinates of the point A. @9599608544

A ray of light passing through the point B (1, 2) reflects on the x-axis at point A and the reflected ray passed through the point C (5, 3). Find the coordinates of the point A.

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A person standing at the crossing at two straight paths represented by the equations 2x-3y-4 = 0 and 3x-4y-5 = 0, wants to reach a path represented by 6x-7y+8 = 0 in least time. Find the equations of path he should follow.@9599608544

A person standing at the crossing at two straight paths represented by the equations 2x-3y-4 = 0 and 3x-4y-5 = 0, wants to reach a path represented by 6x-7y+8 = 0 in least time. Find the equations of path he should follow.

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A square is drawn by joining the mid points of the sides of a square of side 4cm. A third square is drawn inside the second square

A square is drawn by joining the mid points of the sides of a square of side 4cm. A third square is drawn inside the second square in the same way and this process continued indefinitely. Determine the sum of areas of all the squares.

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Two cyclists start together in the same direction from the same place. The first goes with uniform speed of 10km per hour. The second goes at a speed of 8 km per hour in the first hour and increases the speed ½ km each succeeding hour. After how many hours the second cyclist overtake the first if both go non-stop?@9599608544

Two cyclists start together in the same direction from the same place. The first goes with uniform speed of 10km per hour. The second goes at a speed of 8 km per hour in the first hour and increases the speed ½ km each succeeding hour. After how many hours the second cyclist overtake the first if both go non-stop?

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Answer any one out of the following questions.@9599608544

Answer any one out of the following questions.

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A man wants to cut three pieces from a single piece of board of length 47m. The second piece is to be 3m longer than the shortest one and the third piece is to be twice as long as the shortest piece. What are the possible lenghts of the shortest board if the third piece is to be at least 5m longer than the second?@9599608544

A man wants to cut three pieces from a single piece of board of length 47m. The second piece is to be 3m longer than the shortest one and the third piece is to be twice as long as the shortest piece. What are the possible lenghts of the shortest board if the third piece is to be at least 5m longer than the second?

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A man wants to cut three pieces from a single piece of board of length 47m. The second piece is to be 3m longer than the shortest one and the third piece is to be twice as long as the shortest piece. What are the possible lenghts of the shortest board if the third piece is to be at least 5m longer than the second?@9599608544

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Two boats leave the same bank of sea at the same time. One goes 12km per hour in the direction N550E and other goes 16km per hour in the direction S650E. Find the distance between the boats at the end of two hours.@9599608544

Two boats leave the same bank of sea at the same time. One goes 12km per hour in the direction N550E and other goes 16km per hour in the direction S650E. Find the distance between the boats at the end of two hours.

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