This question requires us to match the provisions related to the International Court of Justice with their corresponding articles. Let's break it down and match each provision from List-I with the correct Article in List-II.

1. Law applied by the International Court of Justice: This refers to the legal framework and sources of law that the International Court of Justice (ICJ) adheres to while resolving disputes. Article 38 of the ICJ Statute outlines the sources of law the court is to apply, which include international conventions, international custom, general principles of law, judicial decisions, and scholarly writings. Therefore, the correct match is (a)-(iii) Article 38.
2. Transferred Jurisdiction: Under the ICJ Statute, this refers to situations where prior jurisdictional consent given to the PCIJ (Permanent Court of International Justice) is transferred to the ICJ. Article 36(5) addresses this, noting that declarations of acceptance of the jurisdiction of the PCIJ continue to be valid for the ICJ. Hence, the correct match is (b)-(iv) Article 36(5).
3. Court power to allow a state to intervene in a case to which it is not a party: This provision is associated with Article 62 of the ICJ Statute, which allows a state not a party to a case to request to intervene if it has an interest of a legal nature that may be affected by the decision in the case. Thus, the correct match is (c)-(i) Article 62.
4. Binding Force of the decisions of the International Court of Justice: Article 59 of the ICJ Statute states that the decision of the court has binding force only between the parties involved in a particular case and only in that specific case. Therefore, the correct match is (d)-(ii) Article 59.

Based on this analysis, the correct answer is:

(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)