In a given system of unit standard measurement of mass is 100 gm standard measurement of length is 200 cm and standard measurement of time is 5 sec 10 J energy in the given system of unit has value N, then value of N is

Answer

`0625`

Explanation

[E]`=mL^(2) T^(-2)`
`K_(2)=K_(1)[m_(1)/m_(2)]^(a)[L_(1)/L_(2)]^(b)[T_(1)/T_(2)]^(c)`
`=10[(1kg)/(100gm)]^(1)[(1m)/(200cm)]^(2)[(1sec)/(5 sec)]^(2)`
`=10[(1000gm)/(100gm)][(100cm)/(200cm)]^(2)[5]^(2)`
`=10xx10xx1/4xx25=625`