In a certain system of units, 1 unit of time is 5 sec, 1 unit of mass is 20 kg and 1 uint of length is 10m. In this system, one unit of power will correspond to :-

Options

A. 16 watt
B. `(1)/(16)" watt"`
C. 25 watt
D. `(1)/(25)" watt"`

Answer

B

Explanation

`"1 sec"^(**)=5sec, 1kg^(**)=20kg, 1m^(**)=10m`
`"1 watt"="1 kg m"^(2)sec^(-3)`
`=(1)/(20)kg^(**)((1)/(10)m^(**))^(2)((1)/(5)sec^(**))^(-3)`
`=(1)/(20)xx(1)/(100)xx125kg^(**)m^(**^(2))sec^(**^(-3))=(1)/(16)" watt"^(**)`