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: \[ \boxed{(A) \text{ The 5f electrons of actinides are bound less tightly than the 4f electrons} (B) \text{ The trans uranium elements are prepared artificially} (C) \text{ All the actinides are radioactive}} \]

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]
The expressions for the vapour pressure of solid (\( p_1 \)) and vapour pressure of liquid (\( p_2 \)) phases of a pure substance, respectively, are \[ \ln p_1 = \frac{-2000}{T} + 5 \quad {and} \quad \ln p_2 = \frac{-4000}{T} + 10 \] The triple point temperature of this substance is __________ K (in integer).
The ratio of the fundamental vibrational frequencies \( \left( \nu_{^{13}C^{16}O} / \nu_{^{12}C^{16}O} \right) \) of two diatomic molecules \( ^{13}C^{16}O \) and \( ^{12}C^{16}O \), considering their force constants to be the same, is ___________ (rounded off to two decimal places).
The specific rotation of enantiomerically pure (S)-2-butanol is \( +14^\circ \). The specific rotation of the enantiomeric mixture of 2-butanol obtained from an asymmetric reduction of 2-butanone is found to be \( +7^\circ \). The percentage of (R)-2-butanol present in the reaction mixture is ____________ (in integer).}
Partial hydrolysis of a pentapeptide yields all possible tripeptides and dipeptides. The dipeptides that are obtained upon hydrolysis are given below: Val-Ala Gln-His Phe-Val Ala-Gln
The total number of tripeptides obtained that contain ‘Ala’ as one of the amino acids is __________