List of practice Questions

Which of the following is true for an electrolytic cell?

What type of intermolecular bonding occurs in gaseous CH$_4$?

Which of the following demonstrates non-ideal behaviour of a gas?

Given the following notation for an electrochemical cell,
Pt(s) $|$ H$_2$(g)$|$ H$^+$(aq) $//$ Ag$^+$(aq)$|$Ag(s)
Which of the following represents the overall balanced (net) cell reaction?

Which of the following periodic properties increases with increasing atomic number within a family in the periodic table?

Name the given compound : Cu(ClO$_4$)$_2$

A 13 g gaseous sample of an unknown hydrocarbon occupies a volume of 11.2 L at STP. What is the hydrocarbon?

Immediately, upon bringing a hot piece of metal into a room, the heat is felt from 5 m away. The type of heat transfer is probably

In aqueous solution Cu(+1) salts are unstable because

Which of the following statements is most likely true concerning the given reaction?
2A(g) + B(g) → 2C(g) + D(s)

Choose the most appropriate options.
The period of the function \(f(x) = |\sin x| - |\cos x|\) is

\[ \int_{-\pi/2}^{\pi/2} |\sin x| dx \text{ equals to} \]

If \(P(x)\) is a polynomial such that \[ P(x^2 + 1) = \{P(x)\}^2 + 1 \] then \(P'(0)\) is equal to

\[ \int \frac{x^2}{(x \sin x + \cos x)^2} dx \text{ is equal to} \]

A real solution of the equation \[ \cosh x - 5 \sinh x - 5 = 0 \text{ is} \]

Find the derivative of \[ y = (1 - x)^m (1 + x)^n \text{ at } x = 0, \text{ where } m, n>0 \]

The straight line \( r = (i - j + k) + \lambda (2i + j - k) \) and the plane \( r \cdot (2i + j - k) = 4 \) are

\[ \frac{1}{2 \sin 10^\circ} - 2 \sin 70^\circ \text{ is equal to} \]

What is the number of ordered pairs of real numbers (a, b) such that \[ (a + bi)^{2002} = a - bi \]

Given \(\varepsilon = \cos\left(\frac{2\pi k}{n}\right) + i \sin\left(\frac{2\pi k}{n}\right)\), find the value of \[ \prod_{k=0}^{n-1} \left( \varepsilon^2k - 2\varepsilon k \cos \theta + 1 \right) \]

$\lim_{x \to 0} \frac{\tan^{-1} \left( \frac{-x}{\sqrt{1 - x^2}} \right)}{\ln(1 - x)} =\ ?$

Find the component of the vector a = (-1, 2, 0) perpendicular to the plane of the vectors \(\mathbf{e}_1(1, 0, 1)\) and \(\mathbf{e}_2(1, 1, 1)\)

\(\lim_{x \to \infty} \frac{\ln x}{x^n}\) is equal to