List of top Questions asked in IPU CET

An imaginary metal crystallises in a cubic lattice. The unit cell edge length is 100 pm, (1 pm = $10^{-12}$ m). The density of this metal is 200 g/cm\(^3\). The atomic mass of the metal is 60.2 g/mol. How many of these metal atoms are there within a unit cell?
Which of the following statements is most likely true concerning the given reaction?
2A(g) + B(g) → 2C(g) + D(s)
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
Which of the following demonstrates non-ideal behaviour of a gas?
Calcium chloride is sometimes sprinkled on winter sidewalks to melt snow and ice. If 333g of calcium chloride is dissolved completely in 1.00 kg of water, what will be the freezing point of the solution? (The molal freezing point depression constant for water is 1.86°C kg/mol)
A 13 g gaseous sample of an unknown hydrocarbon occupies a volume of 11.2 L at STP. What is the hydrocarbon?
A 25 mL sample of hard water is titrated with a 0.001 M solution of EDTA, and the end point of the titration is reached at 50 mL of EDTA added. What is the concentration of Ca$^{2+}$ and Mg$^{2+}$ ions in solution?
Rechargeable batteries have become an essential part of our environmentally conscientious society. The nickel-cadmium cell battery is a rechargeable battery used in small electronic devices. The half reactions that take place in the nickel-cadmium battery during discharge are: Half reaction 1: Cd(OH)$_2$(s) + 2e$^{-}$ → Cd(s) + 2OH$^{-}$ Half reaction 2: 2NiO$_2$(s) + H$_2$O + 2e$^{-}$ → 2Ni(OH)$_2$(s) + 2OH$^{-}$ What is the oxidising agent in the nickel cadmium battery during discharge?
Which of the following is true for an electrolytic cell?
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?
Name the given compound : Cu(ClO$_4$)$_2$
Which of the following would be the most soluble in water?
What type of intermolecular bonding occurs in gaseous CH$_4$?
In aqueous solution Cu(+1) salts are unstable because
Which of the following periodic properties increases with increasing atomic number within a family in the periodic table?
Toluene reacts with excess of Cl$_2$ in the presence of sunlight to give a product which on hydrolysis followed by reaction with NaOH gives
What is the IUPAC name for the following cycloalkane?
Describe the phase change for H$_2$O as pressure is raised at 100°C.
What is the total heat needed to change 1g of water from -10°C to 110°C at 1 atm? \[ \Delta H_{fusion} = 80 \, \text{cal/g}, \Delta H_{vaporisation} = 540 \, \text{cal/g}, \text{specific heat of ice and steam are 0.5 cal/g°C} \]
Choose the most appropriate options.
The period of the function \(f(x) = |\sin x| - |\cos x|\) is

$ \lim_{x \to 0} \frac{a^x - 1}{x} $ is equal to

$\lim_{x \to 0} \frac{\tan^{-1} \left( \frac{-x}{\sqrt{1 - x^2}} \right)}{\ln(1 - x)} =\ ?$
\(\lim_{x \to \infty} \frac{\ln x}{x^n}\) is equal to
Find the component of the vector a = (-1, 2, 0) perpendicular to the plane of the vectors \(\mathbf{e}_1(1, 0, 1)\) and \(\mathbf{e}_2(1, 1, 1)\)
A real solution of the equation \[ \cosh x - 5 \sinh x - 5 = 0 \text{ is} \]