Step 1: Analyze the Properties of Actinides.
- (A) The 5f electrons of actinides are more loosely bound compared to the 4f electrons of lanthanides due to the larger size of the actinides.
- (B) The trans-uranium elements (elements with atomic number greater than uranium) are indeed prepared artificially in laboratories.
- (C) All actinides are radioactive, as they have unstable nuclei.
- (D) Actinide contraction is observed, similar to lanthanide contraction, due to the poor shielding of the 5f electrons.
Step 2: Conclusion.
The correct statements are (A), (B), and (C). Therefore, the correct answers are (A), (B), and (C).
Final Answer: \[ \boxed{(A) \text{ The 5f electrons of actinides are bound less tightly than the 4f electrons} (B) \text{ The trans uranium elements are prepared artificially} (C) \text{ All the actinides are radioactive}} \]

Courage : Bravery :: Yearning :
Select the most appropriate option to complete the analogy.
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius \( r \) cm as shown in the figure. The side of the dodecagon is \( d \) cm. All the triangles (numbered 1 to 12 in the figure) are used to form squares of side \( r \) cm, and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹1000(X - 0.2), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?

The Lineweaver-Burk plot for an enzyme obeying the Michaelis-Menten mechanism is given below.

The slope of the line is \(0.36 \times 10^2\) s, and the y-intercept is \(1.20\) mol\(^{-1}\) L s. The value of the Michaelis constant (\(K_M\)) is ________ \( \times 10^{-3} \) mol L\(^{-1}\) (in integer). [Note: \(v\) is the initial rate, and \([S]_0\) is the substrate concentration]