List of practice Questions

What is the value of \(\int \frac{1}{x^2 + 1} \, dx\)?
Solve the system of equations: \(x + y = 3\), \(x - y = 1\).
Find the equation of the tangent to the curve \(y = x^2\) at the point (1,1).
What is the area of a circle with diameter 10 cm?
A body of mass 2 kg is moving with a velocity of 3 m/s. What is its kinetic energy?
What is the unit of electric field?
In a series circuit, if the resistance is doubled, what happens to the current?
What is the IUPAC name of CH\(_3\)CH\(_2\)OH?
What is the pH of a solution with [H\(^+\)] = 10\(^{-3}\) M?
Choose the word most nearly opposite in meaning to "benevolent".
If all roses are flowers and some flowers are red, which statement must be true?
Calculate the electric field at a point due to a uniformly charged spherical shell.
Determine the final temperature when two bodies at different temperatures are brought into thermal contact.
Calculate the de Broglie wavelength of an electron moving with a given velocity.
What is the major product of the reaction of an alkene with bromine water?
Identify the geometry and hybridization of the central atom in SF₄.
What is the oxidation state of chromium in K₂Cr₂O₇?
What is the molecular geometry of the water molecule (H₂O)?
Calculate the rate constant of a reaction with a given half-life.
What is a primary key in a relational database?
Find the focal length of a lens in a compound lens system.
A radio wave travels in a medium with refractive index 1.5. What is the speed of light in this medium if the speed of light in vacuum is \(3 \times 10^8 \, \text{m/s}\)?
A concave mirror produces an image that is real, inverted, and diminished. What is the position of the object in relation to the mirror?
In an isobaric process, 200 J of heat is supplied to a gas. The gas does 50 J of work. What is the change in internal energy?
The rate of a reaction doubles when the temperature is increased by 10°C. What is the approximate value of the activation energy?