If 'muscle times speed equals power', then what is the ratio of the SI unit and the CGS unit of muscle?

Options

A. `10^(5)`
B. `10^(3)`
C. `10^(7)`
D. `10^(-5)`

Answer

A

Explanation

Muscle `xx` Speed = Power
or " " Muscle = `("Power")/("Speed")=("Work")/("Time"xx"Speed")`
= `(["ML"^(2)"T"^(-2)])/(["T"]["LT"^(-1)])=["MLT"^(-2)]`
Mass `xx` Acceleration = Force
Now, " "`("SI unit of force")/("CGS unit of force")=(kgxxmxxs^(-2))/(gxxcmxxs^(-2))`
`" "=10^(3)xx10^(2)=10^(5)`