Question

The value of 120 joule per second on a system that has 10^1 g,10^2 cm,10^3 second as base unit is

Answer 1

Answer:

12×10¹²

Explanation:

In attachment!

Answer 2

The value of 120 on the second base unit is 1.2×$10^{10}$  kg$m^{2}s^{-2}$.

Step-by-step process

Given :

energy = 120 joules

• The formula for dimension for work done is given by = [$ML^{2}T^{-2}$]

• Here, M is mass, L is length and T is time. Thus, its SI unit is kg$m^{2}s^{-2}$.
• From the two systems of units, we can write:

        $n_{1}u_{1}$ = $n_{2}u_{2}$

         $n_{2}$ =   $n_{1}u_{1}$ ÷$u_{2}$= $M1 L1^{2} T^{-2}$÷$M2L2^{2}T^{-2}$

•     Putting in the values, we get:
•     $n_{2}$ =  120[1000÷10][100÷100][1÷1000]
•      $n_{2}$ = 120×100×1×$10^{6}$
•      $n_{2}$ =120×$10^{8}$

Result:

             Thus, the value of 120 on the second base unit is $n_{2}$  = 1.2×$10^{10}$  kg$m^{2}s^{-2}$.

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