Assertion (A) : The volume of tree can be estimated using a trunk cylinder form with a forms factor.
Reason (R) : The form factor adjustments for the tree trunk actual shape (tapering) is compared to a perfect cylinder as tree trunk aren't perfect cylinder.
In the light of the above statements, choose the most appropriate answer from the options given below :
Assertion (A) Analysis: Tree Volume Estimation
The statement asserts that tree volume estimation can use a cylinder form with a form factor. This is a standard method in forestry.
- Tree trunks are approximated as cylinders for basic volume calculation ($V_{cylinder} = \text{Base Area} \times \text{Height}$).
- A form factor ($f$) is introduced to adjust this calculation for irregular tree shapes, making the estimate more accurate ($V_{tree} = f \times V_{cylinder}$).
Therefore, Assertion (A) is correct.
Reason (R) Analysis: Form Factor Purpose
The statement explains that the form factor accounts for the tree trunk's actual shape, specifically its tapering, by comparing it to a perfect cylinder.
- Tree trunks are not perfect cylinders; they typically narrow from the base to the top (taper).
- The form factor quantifies this deviation from a perfect cylinder, reflecting the trunk's unique geometry.
- This adjustment is precisely why the cylinder model, modified by the form factor, provides a better volume estimate.
Therefore, Reason (R) is correct and accurately explains why a form factor is needed (Reason for Assertion A).
Conclusion
Both Assertion (A) and Reason (R) are factually correct statements.
Reason (R) explains the necessity and function of the form factor mentioned in Assertion (A) by detailing how it accounts for the non-cylindrical, tapering shape of tree trunks.
Thus, Reason (R) is the correct explanation for Assertion (A).
Final Answer: The final answer is Option A
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- Kalpsutra, the illustrated canonical text is from:-
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- Mohandas Karamchand Gandhi launched quit India movement after the failure of:-
- The "Objectives Resolution" was introduced in constituent assembly by:-
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