High School

A particular sensor antibody is applied to a sensor surface by spraying. The spraying technique is effective at covering 750 mm² for each sensor. What is the area of the sensor antibody sample in square meters?

(A) 0.75 m²
(B) 7.5 x 10⁻² m²
(C) 7.5 x 10⁻³ m²
(D) 7.5 x 10⁻⁴ m²

Answer :

To find the area of the sensor antibody sample in square meters, we need to convert the given area from square millimeters ([tex]mm^2[/tex]) to square meters ([tex]m^2[/tex]).

Step-by-step Conversion


  1. **Understanding Unit Conversion: **


    • 1 meter is equivalent to 1000 millimeters.

    • Therefore, 1 square meter ([tex]m^2[/tex]) is equal to [tex]1000 \times 1000 = 1,000,000[/tex] square millimeters ([tex]mm^2[/tex]).



  2. Convert [tex]750 \ mm^2[/tex] to [tex]m^2[/tex]:


    • Use the conversion factor: [tex]1 \ m^2 = 1,000,000 \ mm^2[/tex].

    • Thus, [tex]750 \ mm^2 = \frac{750}{1,000,000} \ m^2[/tex].

    • This simplifies to [tex]0.00075 \ m^2[/tex].

    • In scientific notation, this is [tex]7.5 \times 10^{-4} \ m^2[/tex].




Conclusion


  • Therefore, the area of the sensor antibody sample is [tex]7.5 \times 10^{-4} \ m^2[/tex].

  • Hence, the correct multiple-choice option is (D) 7.5 \times 10^{-4} \ m^2.

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