What is the coordination number of an atom in an FCC unit cell?

• (A) \(6\)
• (B) \(8\)
• (C) \(12\)
• (D) \(4\)

Identify the product when Phenol reacts with Bromine water.

• (A) \(o\)-Bromophenol
• (B) \(m\)-Bromophenol
• (C) \(2,4,6-Tribromophenol\)
• (D) Bromobenzene

What is the oxidation state of Phosphorus in \(H_3PO_4\)?

• (A) \(+3\)
• (B) \(+5\)
• (C) \(+1\)
• (D) \(-3\)

Which gas is evolved when Sodium metal reacts with Ethanol?

• (A) Oxygen
• (B) Nitrogen
• (C) Hydrogen
• (D) Carbon dioxide

What is the SI unit of molar conductivity?

• (A) \(S\,cm^{-1}\)
• (B) \(S\,cm^{2}\,mol^{-1}\)
• (C) \(S\,mol^{-1}\)
• (D) \(S\,cm\)

What happens to the resistance of a wire if its radius is halved?

• (A) It becomes half
• (B) It becomes double
• (C) It increases 4 times
• (D) It increases 16 times

What is the value of escape velocity on the Earth's surface?

• (A) \(7.9\,km/s\)
• (B) \(9.8\,km/s\)
• (C) \(11.2\,km/s\)
• (D) \(15\,km/s\)

In an AC circuit, what is the power factor of a pure resistor?

• (A) \(0\)
• (B) \(0.5\)
• (C) \(1\)
• (D) \(-1\)

Name the phenomenon that proves the transverse nature of light.

• (A) Diffraction
• (B) Interference
• (C) Polarisation
• (D) Reflection

What is the energy of a photon of frequency \( \nu \)?

• (A) \(E = mc^2\)
• (B) \(E = hv\)
• (C) \(E = \frac{1}{2}mv^2\)
• (D) \(E = \frac{h}{\nu}\)

Evaluate \( \int \log x \, dx \).

• (A) \(x\log x - x + C\)
• (B) \(\log x + C\)
• (C) \(x\log x + C\)
• (D) \(\frac{\log x}{x} + C\)

What is the value of \( \sin^{-1}(1/2) + \cos^{-1}(1/2) \)?

• (A) \(0\)
• (B) \(\pi/4\)
• (C) \(\pi/2\)
• (D) \(\pi\)

Find the slope of the normal to the curve \(y = 2x^2 + 3\sin x\) at \(x = 0\).

• (A) \(0\)
• (B) \(-1/3\)
• (C) \(1/3\)
• (D) \(3\)

What is the order of the differential equation \( \dfrac{d^2 y}{dx^2} + \left(\dfrac{dy}{dx}\right)^3 = 0 \)?

• (A) \(1\)
• (B) \(2\)
• (C) \(3\)
• (D) \(4\)

What is the probability of an impossible event?

• (A) \(1\)
• (B) \(0.5\)
• (C) \(0\)
• (D) \(-1\)