2.
5 A new unit of length is chosen such that the speed of light in a vacuum is
unity. What is the distance between the Sun and the Earth in terms of the new
unit if light takes 8 min and 20 s to cover this distance?
Answer:
Distance between them = Speed of light x Time taken by light to cover the distance
Speed of light = 1 unit
Time taken = 8 x 60 + 20 = 480 + 20 = 500s
The distance between Sun and Earth = 1 x 500 = 500 units
2.10 State the number of significant figures in the following:
(a) 0.007 m2
(b) 2.64 × 1024 kg
(c) 0.2370 g cm–3
(d) 6.320 J
(e) 6.032 N m–2
(f) 0.0006032 m2
Answer:
(a) 0.007 m2
The given value is 0.007 m2.
Only one significant digit. It is 7.
(b) 2.64 × 1024 kg
Answer:
The value is 2.64 × 1024 kg
For the determination of significant values, the power of 10 is irrelevant. The digits 2,
6, and 4 are significant figures. The number of significant digits is 3.
(c) 0.2370 g cm–3
Answer:
The value is 0.2370 g cm–3
For the given value with decimals, all the numbers 2, 3, 7, and 0 are significant. The
0 before the decimal point is not significant
(d) All the numbers are significant. The number of significant figures here is 4.
(e) 6, 0, 3, and 2 are significant figures. Therefore, the number of significant figures
is 4.
(f) 6, 0, 3, and 2 are significant figures. The number of significant figures is 4.