1.

The velocity of light is 3 xx 10^(10) cm/s. Express it in miles/hour.

Answer»

SOLUTION :Since, `1 cm = 6.214 XX 10^(-6)` miles and `1 s = 1/(3600)` HOUR.
Therefore, the CONVERSION factor for cm is:
`1 = (6.214 xx 10^(-6))/(1 cm)`
and that for second would be:
`1=(1/3600) "hours")/(1 s)`
Hence, `3 xx 10^(10) cm//s = (3 xx 10^(10) cm xx (6.214 xx 10^(-6) "miles")/(1 cm))/(1s xx (1/(3600 "hours"))/(1 s))`
`=(3 xx 10^(10) xx 6.214 xx 10^(-6))/(1/3600)`
`=6.711 xx 10^(8)` miles/hour


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