1.

In a certain system of absolute units the acceleration produced by gravity in a body falling freely is denoted by `3`, the kinetic energy of a `272.1 kg` shot moving with velocity `448` metres per second is denoted by `100`, and its momentum by 10. The unit of length isA. 15.36 mB. 153.6 mC. 68.57 mD. None of these

Answer» Correct Answer - B
Let unit of length, time and mass be `L_(1), T_(1)` and `M_(1)` respectively.
According to question
`9.8 LT^(-2) =3L_(1)T_(1)^(-2)`
`1/2 (272.1)(448)^(2) ML^(2)T^(-2)=100 M_(1)L_(1)^(2)T_(1)^(-2)`
`(272.1)(448) MLT^(-1)=10 M_(1)L_(1)T_(1)`
bu solving above equation `L_(1)=153.6 L`
`=153.6 m`


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