Question:
Consider two successive screen sizes in the Tyler standard screen scale, viz. 150 meshes per inch and 200 meshes per inch. Their linear sizes of the openings are L150 and L200, respectively. If the value of L200 is \(2.9 \times 10^{-3}\) inch, then the value of L150 (in inch) is \(\times 10^{-3}\) (rounded off to one decimal place).
Consider two successive screen sizes in the Tyler standard screen scale, viz. 150 meshes per inch and 200 meshes per inch. Their linear sizes of the openings are L150 and L200, respectively. If the value of L200 is \(2.9 \times 10^{-3}\) inch, then the value of L150 (in inch) is \(\times 10^{-3}\) (rounded off to one decimal place).
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Successive Tyler standard sieves differ in opening size by a constant ratio of root 2, with the coarser (lower mesh number) screen having the larger opening.
Updated On: Jul 17, 2026
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Correct Answer: 4.1
Solution and Explanation
Step 1: Tyler standard screen scale.
The Tyler standard screen series is built so that the ratio of the clear opening size of any screen to the clear opening size of the next smaller (finer) standard screen in the series is a fixed constant, sqrt(2) ~ 1.4142. This ratio is chosen so that the area of each opening is exactly double the area of the next screen's opening.
Step 2: Identify which screen is coarser.
Mesh number is the number of openings per linear inch. A larger mesh number (200) means smaller openings, while a smaller mesh number (150) means larger openings. So the 150 mesh screen is coarser with the larger opening L150, and the 200 mesh screen is finer with the smaller opening L200.
Step 3: Apply the ratio. \[L_{150}/L_{200} = \sqrt{2}\]
Step 4: Substitute. \[L_{150} = 1.4142 \times 2.9\times10^{-3} = 4.1012\times10^{-3}\text{ inch}\]
Step 5: Round. \[ \boxed{L_{150} \approx 4.1 \times 10^{-3}\ \text{inch}} \]
The Tyler standard screen series is built so that the ratio of the clear opening size of any screen to the clear opening size of the next smaller (finer) standard screen in the series is a fixed constant, sqrt(2) ~ 1.4142. This ratio is chosen so that the area of each opening is exactly double the area of the next screen's opening.
Step 2: Identify which screen is coarser.
Mesh number is the number of openings per linear inch. A larger mesh number (200) means smaller openings, while a smaller mesh number (150) means larger openings. So the 150 mesh screen is coarser with the larger opening L150, and the 200 mesh screen is finer with the smaller opening L200.
Step 3: Apply the ratio. \[L_{150}/L_{200} = \sqrt{2}\]
Step 4: Substitute. \[L_{150} = 1.4142 \times 2.9\times10^{-3} = 4.1012\times10^{-3}\text{ inch}\]
Step 5: Round. \[ \boxed{L_{150} \approx 4.1 \times 10^{-3}\ \text{inch}} \]
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