If in a new hypothetical system of units, the new unit of mass is 5 kg, new unit of length is 10 meter and new unit of time is 20 seconds, choose the correct statement(s).

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1 SI unit of velocity is equal to 2 new units of velocity.

1 SI unit of power is equal to 16 new units of power.

1 SI unit of energy is equal to 5/4 new unit of energy.

1 SI unit of force is equal to 10 new units of force.

answer is A.

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Detailed Solution

(1) Let 1m/s=x10m20s⇒x=2 (2) 1W=xW′x=1WW′=1M1L12T1−3M2L22T2−3=11kg5kg1m10m21s20s-3=16 (3) 1J=xJ′x=1JJ′=1M1L12T1−2M2L22T2−2=11kg5kg1m10m21s20s-2=45 (4) 1N=xN′x=1NN′=1M1L1T1−2M2L2T2−2=11kg5kg1m10m1s20s−2=8

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