If \( z = \frac{3i}{2} \), what is the value of \( \arg(z) \)?

• (A) \(0 \)
• (B) \( \frac{\pi}{2} \)
• (C) \( \pi \)
• (D) \( \frac{3\pi}{2} \)

Find the missing number in the series: \(2, 6, 12, 20, 30, \_\_\).

• (A) \(40 \)
• (B) \(42 \)
• (C) \(44 \)
• (D) \(46 \)

Calculate the ratio of de Broglie wavelengths of an electron \((\lambda_e)\) and a proton \((\lambda_p)\) moving with the same velocity.

• (A) \( \dfrac{m_e}{m_p} \)
• (B) \( \dfrac{m_p}{m_e} \)
• (C) \(1\)
• (D) \( \dfrac{m_e^2}{m_p^2} \)

What is the major product formed when phenol reacts with bromine water?

• (A) Bromobenzene
• (B) 2-bromophenol
• (C) 2,4-dibromophenol
• (D) 2,4,6-tribromophenol

A bag contains 5 red and 7 blue balls. Find the probability of drawing 2 red balls without replacement.

• (A) \( \frac{5}{33} \)
• (B) \( \frac{10}{33} \)
• (C) \( \frac{25}{144} \)
• (D) \( \frac{7}{33} \)

What happens to the magnetic field at the center of a circular coil if the number of turns is doubled while keeping the current constant?

• (A) It becomes half \( \left(\frac{B}{2}\right) \)
• (B) It remains the same
• (C) It doubles \( (2B) \)
• (D) It becomes four times \( (4B) \)

Identify the IUPAC name for the coordination compound \( [Co(NH_3)_6]Cl_3 \).

• (A) Hexaamminecobalt(II) chloride
• (B) Hexaamminecobalt(III) chloride
• (C) Hexamminecobalt(III) chloride
• (D) Hexaamminecobalt(II) trichloride

Find the value of \(k\) if the lines \( \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} \) and \( \frac{x-4}{k} = \frac{y-1}{2} = \frac{z}{1} \) are perpendicular.

• (A) \(5\)
• (B) \(-5\)
• (C) \(2\)
• (D) \(-2\)

Which of the following is an example of a condensation polymer?

• (A) Polyethylene
• (B) PVC
• (C) Nylon 6,6
• (D) Polystyrene

An object is placed 15 cm in front of a concave mirror of focal length 10 cm. Find the position and nature of the image.

• (A) 30 cm behind mirror, virtual and erect
• (B) 30 cm in front of mirror, real and inverted
• (C) 15 cm behind mirror, virtual
• (D) 20 cm in front of mirror, real