A grain of spice weigh 3.44 x 10² times more than the particle of unobtanium.
What is scale factor?
Scale factor is a gives the measure of how many times is quantity[1] larger then the quantity[2].
Given is the weight of a particle of unobtanium is 2.66 x 10⁻⁶ oz and the weight of a grain of spice is 9.17 x 10⁻⁴ oz.
We can write from the data given -
Weight of unobtanium particle = W[O] = 2.66 x 10⁻⁶ oz
Weight of a grain of spice = W[G] = 9.17 x 10⁻⁴ oz
Assume that the ratio of -
W[G]/W[O] = k
Then, we can write -
k = (9.17 x 10⁻⁴) / (2.66 x 10⁻⁶)
k = 3.44 x 10²
Therefore, a grain of spice weigh 3.44 x 10² times more than the particle of unobtanium.
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