List of practice Questions

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?
What is the major product when 1-bromopropane undergoes nucleophilic substitution with \(OH^-\)?
Find the value of the integral: \[ \int_0^\pi \sin^2(x) \, dx. \]
A box contains 5 red balls and 3 blue balls. If two balls are drawn randomly without replacement, what is the probability that one of the balls is red and the other is blue?
Find the angle between the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \).
Find the determinant of the matrix \( A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} \).
A block of mass 2 kg slides on a frictionless horizontal surface with a velocity of 3 m/s. It collides elastically with another block of mass 3 kg initially at rest. What is the velocity of the 2 kg block after the collision?
The electric field at a point on the axis of a uniformly charged ring of radius R at a distance x from its center is given by: \[ E = \frac{1}{4\pi\epsilon_0} \cdot \frac{2\pi kQx}{(x^2 + R^2)^{3/2}}. \] If x = 2R, what is the magnitude of the electric field?
A gas expands isothermally and reversibly from a volume V to 2V. If the initial pressure is P, what is the final pressure?
For a reaction A → B, the concentration of A decreases from 0.8 M to 0.2 M in 10 minutes. If the rate constant is 0.1 min⁻¹, what is the order of the reaction?