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Step-by-step NCERT solutions for Measurement of Length and Motion (Chapter 5, NCERT Class 6 Science) — every question and answer worked out in full, not just the final result. You can also read the Measurement of Length and Motion textbook chapter.

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All 13 questions in Measurement of Length and Motion are solved in the PDF. Here's what's inside, exercise by exercise:

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  1. Some lengths are given in Column I of Table 5.5. Some units are given in Column II. Match the lengths with the units suitable for measuring those lengths. Column I:
    • (a) Distance between Delhi and Lucknow
    • (b) Thickness of a coin
    • (c) Length of an eraser
    • (d) Length of school ground Column II:
    • (i) centimetre
    • (ii) kilometre
    • (iii) metre
    • (iv) millimetre
  2. Read the following statements and mark True (T) or False (F) against each.
    • (i) The motion of a car moving on a straight road is an example of linear motion.
    • (ii) Any object which is changing its position with respect to a reference point with time is said to be in motion.
    • (iii) 1 km = 100 cm
  3. Which of the following is not a standard unit of measuring length?
    • (i) millimetre
    • (ii) centimetre
    • (iii) kilometre
    • (iv) handspan
  4. Search for the different scales or measuring tapes at your home and school. Find out the smallest value that can be measured using each of these scales. Record your observations in a tabular form.
  5. Suppose the distance between your school and home is 1.5 km. Express it in metres.
  6. Take a tumbler or a bottle. Measure the length of the curved part of the base of glass or bottle and record it.
  7. Measure the height of your friend and express it in
    • (i) metres
    • (ii) centimetres and
    • (iii) millimetres.
  8. You are given a coin. Estimate how many coins are required to be placed one after the other lengthwise, without leaving any gap between them, to cover the whole length of the chosen side of a notebook. Verify your estimate by measuring the same side of the notebook and the size of the coin using a 15-cm scale.
  9. Give two examples each for linear, circular and oscillatory motion.
  10. Observe different objects around you. It is easier to express the lengths of some objects in mm, some in cm and some in m. Make a list of three objects in each category and enter them in Table 5.6.
  11. A rollercoaster track is made in the shape shown in Fig. 5.19. A ball starts from point A and escapes through point F. Identify the types of motion of the ball on the rollercoaster and corresponding portions of the track.
  12. Tasneem wants to make a metre scale by herself. She considers the following materials for it — plywood, paper, cloth, stretchable rubber and steel. Which of these should she not use and why?
  13. Think, design and develop a card game on conversion of units of length to play with your friends.
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Worked examples

3 questions from Measurement of Length and Motion, solved step by step.

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Read the following statements and mark True (T) or False (F) against each. (i) The motion of a car moving on a straight road is an example of linear motion. (ii) Any object which is changing its position with respect to a reference point with time is said to be in motion. (iii) 1 km = 100 cm

(i) Linear motion is defined as motion along a straight line. A car moving on a straight road moves in a straight line — this is the definition of linear motion. → True.

(ii) The chapter states: 'An object is said to be in motion if its position changes with respect to the reference point with time.' This matches the statement exactly. → True.

(iii) From the chapter: 1 km = 1000 m and 1 m = 100 cm, so 1 km = 1000 × 100 cm = 1,00,000 cm. The statement claims 1 km = 100 cm, which is incorrect. → False.

Answer: (i) True, (ii) True, (iii) False.

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Measure the height of your friend and express it in (i) metres (ii) centimetres and (iii) millimetres.

This is a measurement and conversion activity.

Step 1: Measure your friend's height using a metre scale or measuring tape. Suppose the measured height is 1.4 m (model value).

(i) In metres: 1.4 m.

(ii) In centimetres: 1 m = 100 cm, so 1.4 m = 1.4 × 100 = 140 cm.

(iii) In millimetres: 1 cm = 10 mm, so 140 cm = 140 × 10 = 1400 mm.

Use your actual measured value and apply the same conversions: multiply by 100 for cm, multiply by 1000 for mm.

Answer: Example for height = 1.4 m: (i) 1.4 m, (ii) 140 cm, (iii) 1400 mm. Apply the same conversions to your actual measurement.

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Give two examples each for linear, circular and oscillatory motion.

Linear motion (motion along a straight line):

1. A car moving on a straight road.

2. A ball falling straight down after being dropped.

Circular motion (motion along a circular path):

1. A stone tied to a thread and whirled in a circle.

2. A merry-go-round moving in a circle.

Oscillatory motion (to-and-fro motion about a fixed position):

1. A swing moving to and fro.

2. A pendulum moving to and fro about its rest position.

Answer: Linear: (1) car on a straight road, (2) dropped object falling straight down. Circular: (1) stone whirled on a thread, (2) merry-go-round. Oscillatory: (1) swing, (2) pendulum.

All 13 questions in Measurement of Length and Motion are solved step by step in the Solutions PDF above.

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