Which of the following given ratio of units of length gives the highest value?
(1) 1pm/1fm
(2) 1hm/1Gm
(3) 1dm/1μm
(4) 1Mm/1nm
4) 1 Mm/1nm
and your thinking is?
Answer if 1 Mm/1nm as,
10^6/10^-9 =10^15, which gives the highest value among all the other options
1 pm÷1fm
To determine the highest value among the given ratios of units of length, we need to compare their numerical values.
Let's first understand the units involved in each ratio:
(1) 1pm/1fm: pm represents picometer, which is 10^-12 meters, and fm represents femtometer, which is 10^-15 meters.
(2) 1hm/1Gm: hm represents hectometer, which is 10^2 meters, and Gm represents gigameter, which is 10^9 meters.
(3) 1dm/1μm: dm represents decimeter, which is 10^-1 meters, and μm represents micrometer, which is 10^-6 meters.
(4) 1Mm/1nm: Mm represents megameter, which is 10^6 meters, and nm represents nanometer, which is 10^-9 meters.
Now, let's compare the numerical values of the units:
(1) 1pm/1fm = (10^-12 m)/(10^-15 m) = 10^3
(2) 1hm/1Gm = (10^2 m)/(10^9 m) = 10^-7
(3) 1dm/1μm = (10^-1 m)/(10^-6 m) = 10^5
(4) 1Mm/1nm = (10^6 m)/(10^-9 m) = 10^15
By comparing the numerical values, we can see that 1Mm/1nm has the highest value among the given ratios. Therefore, option (4) 1Mm/1nm gives the highest value.
Good
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