A wire of resistance \(R\) is stretched to double its original length. What is its new resistance?

• (A) \(2R\)
• (B) \(4R\)
• (C) \(\frac{R}{2}\)
• (D) \(R\)

What is the de Broglie wavelength of an electron accelerated through a potential difference of \(100\,V\)?

• (A) \(0.1227\,\AA\)
• (B) \(1.227\,\AA\)
• (C) \(12.27\,\AA\)
• (D) \(0.01227\,\AA\)

In a Young's Double Slit Experiment, if the distance between the slits is halved and the distance to the screen is doubled, what happens to the fringe width?

• (A) Doubled
• (B) Halved
• (C) Quadrupled
• (D) Unchanged

What is the coordination number of Cobalt in \([Co(en)_3]^{3+}\)?

• (A) 3
• (B) 4
• (C) 6
• (D) 2

Which gas is evolved when Sodium metal reacts with Ethanol?

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

What is the order of a reaction if the rate constant unit is \(L \cdot mol^{-1} \cdot s^{-1}\)?

• (A) Zero order
• (B) First order
• (C) Second order
• (D) Third order

If \( \tan^{-1}x + \tan^{-1}y = \frac{\pi}{4} \), then what is the value of \(x + y + xy\)?

• (A) \(0\)
• (B) \(1\)
• (C) \(2\)
• (D) \(-1\)

Find the value of \( \displaystyle \int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx \).

• (A) \(\frac{\pi}{2}\)
• (B) \(\frac{\pi}{8}\)
• (C) \(\frac{\pi}{4}\)
• (D) \(1\)

What is the distance of the point \((1,2,3)\) from the \(yz\)-plane?

• (A) \(3\)
• (B) \(2\)
• (C) \(1\)
• (D) \(\sqrt{3}\)

Pointing to a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?

• (A) Sister
• (B) Mother
• (C) Aunt
• (D) Grandmother

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

• (A) \(36\)
• (B) \(40\)
• (C) \(42\)
• (D) \(44\)

If "WATER" is coded as "YCVGT", what is the code for "FIRE"?

• (A) HKTG
• (B) HKUF
• (C) HJTG
• (D) HKTE

Identify the error: "Neither the players nor the coach were present at the meeting."

• (A) Neither
• (B) players
• (C) were
• (D) meeting

Choose the correct preposition: "The property was divided ___ the four brothers."

• (A) Between
• (B) Among
• (C) With
• (D) For

What is the antonym of "Vague"?

• (A) Uncertain
• (B) Doubtful
• (C) Precise
• (D) Ambiguous