If 1unit of mass= 4kg, 1unit of length=1/4m and 1unit of time = 5sec, then 1Joule = x units of energy in this system where x=
a. 100units b. 0.01units c.200units d.0.02units
Correct option a. 100 units
1 unit of mass = 4 kg
=> 1 kg = ¼ unit of mass
1 unit of length = 1/4 m
=> 1 m = 4 unit of length
1 unit of mass = 5 s
=> 1 s = 1/5 unit of time
By the formula of unit conversion
1 J = 1 kgm2s-2
New unit = (m/M)x(l/L)y(t/T)z
= (¼)1(4)2(1/5)-2
x = 100 units of energy.