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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Important Questions from Mixed Topic (CUET PG)
- Who was the founder of Bolshevik Communist party?
- What is the key guide to statecraft in the realist tradition?
- Chronologically arrange the events in the Cold War period.
A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
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A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
