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Which is the shortest distance? A $10^{-19}$ Gm B $10^{-14}$ km C $10^{4}$ µm D $10^{7}$ fm - AQA - A-Level Physics - Question 8 - 2021 - Paper 1

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Which-is-the-shortest-distance?--A--$10^{-19}$-Gm-B--$10^{-14}$-km-C--$10^{4}$-µm-D--$10^{7}$-fm-AQA-A-Level Physics-Question 8-2021-Paper 1.png

Which is the shortest distance? A $10^{-19}$ Gm B $10^{-14}$ km C $10^{4}$ µm D $10^{7}$ fm

Worked Solution & Example Answer:Which is the shortest distance? A $10^{-19}$ Gm B $10^{-14}$ km C $10^{4}$ µm D $10^{7}$ fm - AQA - A-Level Physics - Question 8 - 2021 - Paper 1

Step 1

A $10^{-19}$ Gm

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Answer

Converting Gigameters (Gm) to kilometers (km): 1extGm=103extkm1 ext{ Gm} = 10^{3} ext{ km} So, 10−19extGm=10−19imes103=10−16extkm10^{-19} ext{ Gm} = 10^{-19} imes 10^{3} = 10^{-16} ext{ km}

Step 2

B $10^{-14}$ km

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Answer

10−1410^{-14} km is already in kilometers.

Step 3

C $10^{4}$ µm

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Answer

Converting micrometers (µm) to kilometers (km): 1extµm=10−6extm,and 1extkm=103extm1 ext{ µm} = 10^{-6} ext{ m}, \quad \text{and } 1 ext{ km} = 10^{3} ext{ m} Thus, 104extµm=104imes10−6=10−2extkm10^{4} ext{ µm} = 10^{4} imes 10^{-6} = 10^{-2} ext{ km}

Step 4

D $10^{7}$ fm

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Answer

Converting femtometers (fm) to kilometers (km): 1extfm=10−15extm1 ext{ fm} = 10^{-15} ext{ m} So, 107extfm=107imes10−15=10−8extkm10^{7} ext{ fm} = 10^{7} imes 10^{-15} = 10^{-8} ext{ km}

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