To solve this question, we need to correctly match the items from List-I with those in List-II. Let's analyze each pair one by one:
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Lyophilic colloid: Lyophilic colloids are also known as protective colloids because they are stable and protect the dispersed phase from precipitation. So, Lyophilic colloid corresponds to Protective colloid. Hence, (A)-(II).
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Emulsion: An emulsion is a type of colloid in which both dispersed phase and dispersion medium are liquids. Therefore, Emulsion corresponds to Liquid-liquid colloid. Hence, (B)-(I).
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Positively charged: A positively charged colloid system can be formed when \( \text{FeCl}_3 \) is added to hot water, leading to the formation of positively charged \( \text{Fe(OH)}_3 \) sol. Therefore, Positively charged corresponds to \( \text{FeCl}_3 + \text{hot water} \). Hence, (C)-(IV).
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Negatively charged: A negatively charged colloid system can be prepared when \( \text{FeCl}_3 \) reacts with \( \text{NaOH} \), forming negatively charged \( \text{Fe(OH)}_3 \) sol. Consequently, Negatively charged corresponds to \( \text{FeCl}_3 + \text{NaOH} \). Hence, (D)-(III).
By analyzing the pairs, the correct matches are:
- (A)-(II): Lyophilic colloid - Protective colloid
- (B)-(I): Emulsion - Liquid-liquid colloid
- (C)-(IV): Positively charged - \( \text{FeCl}_3 + \text{hot water} \)
- (D)-(III): Negatively charged - \( \text{FeCl}_3 + \text{NaOH} \)
Thus, the correct answer is: (A)-(II), (B)-(I), (C)-(IV), (D)-(III).