Answer :
(a) The speed of light in km/hr is, [tex]10.7928\times 10^8Km/hr[/tex]
(b) The speed of light in mi/min is, [tex]1.117\times 10^7mi/min[/tex]
Explanation :
(a) We are given the speed of light is, [tex]2.998\times 10^8m/s[/tex]
As we know that,
[tex]1m=\frac{1}{1000}m[/tex]
and,
[tex]1s=\frac{1}{3600}hr[/tex]
By using both the conversion, we get:
[tex]2.998\times 10^8m/s[/tex]
[tex]\Rightarrow \frac{2.998\times 10^8m}{1s}\times \frac{3600s}{1hr}\times \frac{1km}{1000m}[/tex]
[tex]\Rightarrow 10.7928\times 10^8Km/hr[/tex]
The speed of light in km/hr is, [tex]10.7928\times 10^8Km/hr[/tex]
(b) We are given the speed of light is, [tex]2.998\times 10^8m/s[/tex]
As we know that,
[tex]1m=\frac{1}{1609.34}mi[/tex]
and,
[tex]1s=\frac{1}{60}min[/tex]
By using both the conversion, we get:
[tex]2.998\times 10^8m/s[/tex]
[tex]\Rightarrow \frac{2.998\times 10^8m}{1s}\times \frac{60s}{1min}\times \frac{1mi}{1609.34m}[/tex]
[tex]\Rightarrow 1.117\times 10^7mi/min[/tex]
The speed of light in mi/min is, [tex]1.117\times 10^7mi/min[/tex]
