List of practice Questions

Which trend is correct regarding ionic radius in the 4f-series (lanthanides)?
The magnetic moment of \( \text{Mn}^{3+} \) is:
For a first-order reaction, the slope of the graph between \(\log[A]\) vs time is equal to:
Which of the following plots gives a straight line for a zero-order reaction?
What is the correct order of thermal stability of the following carbonates?
BaCO\(_3\), MgCO\(_3\), SrCO\(_3\), CaCO\(_3\)
If \( x^y + y^x = a^b \), then \( \frac{dy}{dx} \) at \( x = 1, y = 2 \) is:
Evaluate the integral: ∫ log((2 + x)2 + x) dx
Approximate value of \( \cos 59^\circ \) is:
For all real x, the minimum value of the function f(x) = (1 - x + x^2) / (1 + x + x^2) is:
Evaluate the definite integral: \[ \int_{0}^{\frac{\pi}{2}} \frac{dx}{1 + (\cot x)^{101}} = ? \]
If \( y = x^x + x^x \), then find \( \frac{dy}{dx} \):
A copper ball at \(80^\circ C\) is brought to \(60^\circ C\) in 5 minutes, with surrounding temperature at \(20^\circ C\). Find the temperature of the ball after 20 minutes.
Evaluate the expression: \[ f\left(f(f(x))\right) + \left(f(f(x))\right)^2 \quad \text{if} \quad x = 1 \]
What is the volume of oxygen required for complete combustion of 0.25 mole of methane at S.T.P.?
Which of the following is an example of a redox reaction?
Which of the following elements does not have a completely filled outermost shell in its ground state?
Which of the following gases is most soluble in water?
Which of the following gases is most soluble in water?
Which of the following is the correct electron configuration for the ion \(\text{Fe}^{3+}\)?
Which of the following compounds is an example of an ionic bond?
Which of the following elements does not have a completely filled outermost shell in its ground state?
Which of the following is an example of a redox reaction?
What is the molarity of a solution prepared by dissolving 10 grams of NaOH in 250 mL of water? (Molar mass of NaOH = 40 g/mol)
What is the pH of a 0.01 M hydrochloric acid (HCl) solution?
A charge of \( 2 \, \mu\text{C} \) is placed in an electric field of intensity \( 4 \times 10^3 \, \text{N/C} \). What is the force experienced by the charge?