Refer to the diagrams showing drainage patterns. Identify drainage patterns A and B. Differentiate between the underlying rock structure of drainage patterns A and B respectively.

Geography
Refer to the diagrams showing drainage patterns. Identify drainage patterns A and B. Differentiate between the underlying rock structure of drainage patterns A and B respectively.

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Answer

A: 3, B: 4

1.a Stream order for each drainage basin

From the figure, assign Strahler stream orders starting from the outermost tributaries.

First-order streams are those without tributaries (terminal segments).

For basin A: 4 first-order streams, 2 second-order, 1 third-order main stream.

Thus, stream order of basin A is 3.

For basin B: 8 first-order streams, 4 second-order, 2 third-order, 1 fourth-order main stream.

Thus, stream order of basin B is 4.

A:3,B:4\boxed{A: 3, B: 4}

Step 1: 1.b Number of streams of each order

Count streams per order for each basin.

Basin A:
Order 1: 4 streams
Order 2: 2 streams
Order 3: 1 stream

Basin B:
Order 1: 8 streams
Order 2: 4 streams
Order 3: 2 streams
Order 4: 1 stream

&A: Order 1 = 4, Order 2 = 2, Order 3 = 1 \\ &B: Order 1 = 8, Order 2 = 4, Order 3 = 2, Order 4 = 1 \end{align*}$$ $$\boxed{A: 4, 2, 1 \\ B: 8, 4, 2, 1}$$ **Step 2: 1.c Bifurcation ratio (drainage order)** Bifurcation ratio $R_b = \frac{N_u}{N_{u+1}}$, average over orders. For basin A: $R_b = \frac{4}{2} = 2$, $\frac{2}{1} = 2$. Average $R_b = 2$. For basin B: $R_b = \frac{8}{4} = 2$, $\frac{4}{2} = 2$, $\frac{2}{1} = 2$. Average $R_b = 2$. $$\boxed{A: 2, B: 2}$$ **Step 3: 1.d Stream order relationship (Horton's law of stream numbers)** Horton's law: Number of streams $N_u$ decreases geometrically with order $u$, $N_u \approx R_b^{k-u}$. Both basins show constant $R_b = 2$, so number halves each higher order. Both conform to Horton's law. $$\boxed{A: Conforms (R_b=2 constant), B: Conforms (R_b=2 constant)}$$ **Step 4: 1.e Stream lengths (Horton's law of stream lengths)** Observe from figure: Higher order streams are visibly longer. Mean stream length $L_u$ increases geometrically with order, $L_u \approx R_l^{u}$ where $R_l >1$ (length ratio). Lengths approximately double per order (visually). Both conform. $$\boxed{A: Increases geometrically with order, B: Increases geometrically with order}$$ **1.b Drainage density** Drainage density $D_d = \frac{Total stream length L}{Basin area A}$. No scale provided, but visually compare spacing. Basin A: Streams moderately spaced, medium density. Basin B: More streams, closer spacing, higher density. Total (combined or average): Medium to high (qualitative, no numerical values given). Or if grid/count method intended: Estimate $L$ by segment count, $A$ by enclosure. But figure lacks scale; typically described as: A: Medium drainage density B: High drainage density $$\boxed{A: medium, B: high}$$
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1.a Stream order for each drainage basin From the figure, assign Strahler stream orders starting from the outermost tributaries.

Refer to the diagrams showing drainage patterns. Identify drainage patterns A and B. Differentiate between the underlying rock structure of drainage patterns A and B respectively.
Geography

This geography problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.

ScanSolve AI Answer
1.a Stream order for each drainage basin From the figure, assign Strahler stream orders starting from the outermost tributaries. First-order streams are those without tributaries (terminal segments). For basin A: 4 first-order streams, 2 second-order, 1 third-order main stream. Thus, stream order of basin A is 3. For basin B: 8 first-order streams, 4 second-order, 2 third-order, 1 fourth-order main stream. Thus, stream order of basin B is 4. A: 3, B: 4 Step 1: 1.b Number of streams of each order Count streams per order for each basin. Basin A: Order 1: 4 streams Order 2: 2 streams Order 3: 1 stream Basin B: Order 1: 8 streams Order 2: 4 streams Order 3: 2 streams Order 4: 1 stream &A: Order 1 = 4, Order 2 = 2, Order 3 = 1 \\ &B: Order 1 = 8, Order 2 = 4, Order 3 = 2, Order 4 = 1 A: 4, 2, 1 \\ B: 8, 4, 2, 1 Step 2: 1.c Bifurcation ratio (drainage order) Bifurcation ratio R_b = (N_u)/(N_u+1), average over orders. For basin A: R_b = (4)/(2) = 2, (2)/(1) = 2. Average R_b = 2. For basin B: R_b = (8)/(4) = 2, (4)/(2) = 2, (2)/(1) = 2. Average R_b = 2. A: 2, B: 2 Step 3: 1.d Stream order relationship (Horton's law of stream numbers) Horton's law: Number of streams N_u decreases geometrically with order u, N_u ≈ R_b^k-u. Both basins show constant R_b = 2, so number halves each higher order. Both conform to Horton's law. A: Conforms (R_b=2 constant), B: Conforms (R_b=2 constant) Step 4: 1.e Stream lengths (Horton's law of stream lengths) Observe from figure: Higher order streams are visibly longer. Mean stream length L_u increases geometrically with order, L_u ≈ R_l^u where R_l >1 (length ratio). Lengths approximately double per order (visually). Both conform. A: Increases geometrically with order, B: Increases geometrically with order 1.b Drainage density Drainage density D_d = Total stream length LBasin area A. No scale provided, but visually compare spacing. Basin A: Streams moderately spaced, medium density. Basin B: More streams, closer spacing, higher density. Total (combined or average): Medium to high (qualitative, no numerical values given). Or if grid/count method intended: Estimate L by segment count, A by enclosure. But figure lacks scale; typically described as: A: Medium drainage density B: High drainage density A: medium, B: high