Question

My Notes Ask Your The speed of light is now defined to be c= 2.99792458*101 mis. (a) Express the speed of light to three significant figures. m/s (b) Express the speed of light to five significant figures. m/s (c) Express the speed of light to seven significant figures. m/s

Answer 1

Answer :

(a) The speed of light in three significant figures is, $3.00\times 10^1m/s$

(b) The speed of light in five significant figures is, $2.9979\times 10^1m/s$

(c) The speed of light in seven significant figures is, $2.997924\times 10^1m/s$

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

As we are given that the speed of light is:

$2.99792458\times 10^1m/s$

In the given value, there are 9 significant figures.

(a) Now we have to determine the speed of light in three significant figures.

For three significant figure, we round off the digits and we get:

$3.00\times 10^1m/s$

(b) Now we have to determine the speed of light in five significant figures.

$2.9979\times 10^1m/s$

(c) Now we have to determine the speed of light in seven significant figures.

$2.997924\times 10^1m/s$