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Answer:Question 1:

The distance between Delhi and Mumbai is usually expressed in units of

(a) decametre

(b) metre

(c) centimetre

(d) kilometre

Solution:

(d) The distance between Delhi and Mumbai is expressed in kilometre because other units like metre, centimetre and decametre are so small to express this big distance.

Question 2:

Which of the following does not express a time interval?

(a) A day

(b) A second

(c) A school period

(d) Time of the first bell in the school

Solution:

(d) Time of the first bell in the school does not express a time interval because it has only a single value of time, while the other quantities like a day, a second and a school period can be divided into a number of shorter periods of time.

Note: A time interval should have atleast two values of time.

Question 3:

Figure shows a measuring scale which is usually supplied with a geometry box. Which of the following distance cannot be measured with this scale by using it only once?

ncert-exemplar-problems-class-6-science-motion-measurement-distances-1

(a) 0.1 m (b) 0.15 m

(c) 0.2 m (d) 0.05 m

Solution:

(c) Here, 0.1 m = 10 cm

0.15 m = 15 cm [∴ 1 m = 100 cm]

0.2 m = 20 cm and 0.05 m = 5 cm

The distances 10 cm, 15 cm and 5 cm can be easily measured by using a 15 cm long scale, while the distance 20 cm (= 0.2 m) cannot be measured by using this scale only once.

Question 4:

A piece of ribbon folded five times is placed along a 30 cm long measuring scale as shown in figure.

ncert-exemplar-problems-class-6-science-motion-measurement-distances-2

The length of the ribbon is between

(a) 1.15 m-1.25 m

(b) 1.25 m-1.35 m

(c) 1.50 m-1.60 m

(d) 1.60 m-1.70 m

Solution:

(b) Since, ribbon is folded 5 times, i.e. from figure, length of ribbon = (27.5 – 2) cm x 5 = (25.5 x 5) cm

= 127.5 cm = 1.27 m [∴1m = 100 cm]

ncert-exemplar-problems-class-6-science-motion-measurement-distances-3

1.27 m lies in the range of 1.25 m – 1.35 m.

Question 5:

Paheli moves on a straight road from point A to point C. She takes 20 min to cover a certain distance AB and 30 min to cover the rest of distance BC. She then turns back and takes 30 min to cover the distance CB and 20 min to cover the rest of the distance to her starting point. She makes 5 rounds on the road in the same way. Paheli concludes that her motion is

(a) only rectilinear motion

(b) only periodic motion

(c) rectilinear and periodic motion

(d) neither rectilinear nor periodic

Solution:

(c) We can understand this using the following diagram:

ncert-exemplar-problems-class-6-science-motion-measurement-distances-4

Thus, we can see that Paheli moves in a straight path from A ->C and from C -> A. So, the motion is rectilinear, further Paheli moves in a periodic motion because she makes 5 rounds in the same way and crosses point 6 in each round, after a regular time interval. So, her motion is rectilinear and periodic.

Question 6:

Bholu and Golu are playing on a ground. They start running from the same point A in the ground and reach point B at the same time by following the paths marked 1 and 2, respectively as shown in the figure. Which of the following is true for the given situation?

ncert-exemplar-problems-class-6-science-motion-measurement-distances-5

As compared to Golu, Bholu covers a

(a) longer distance but with a lower speed

(b) longer distance with a higher speed

(c) shorter distance with a lower speed

(d) shorter distance with a higher speed

which is longer than that of Golu. Both reaches point B at the same time, so Bholu will have to move faster in order to cover more distance (Golu is on the track having the shortest distance between A and B).Therefore, Bholu moves with a higher speed than Golu.

Solution:

(b) It is clear from the figure that Bholu covers more distance, since he is on the track