List of practice Questions

A source supplies heat to a system at the rate of 1000 W. If the system performs work at a rate of 200 W, what is the rate at which internal energy of the system increases?
The area enclosed between the curve \(y = \log_e(x + e)\) and the coordinate axes is:
A simple pendulum performing small oscillations at a height R above Earth's surface has a time period of \(T_1 = 4\) s. What would be its time period at a point which is at a height \(2R\) from Earth's surface?
The potential of a large liquid drop when eight liquid drops are combined is 20 V. What is the potential of each single drop?
A dust particle of mass 4 × 10⁻¹² mg is suspended in air under the influence of an electric field of 50 N/C directed vertically upwards. How many electrons were removed from the neutral dust particle? (g = 10 m/s²)
If all roses are flowers and some flowers are red, which statement must be true?
Choose the word most nearly opposite in meaning to "benevolent".
What is the pH of a solution with [H\(^+\)] = 10\(^{-3}\) M?
What is the IUPAC name of CH\(_3\)CH\(_2\)OH?
In a series circuit, if the resistance is doubled, what happens to the current?
What is the unit of electric field?
A body of mass 2 kg is moving with a velocity of 3 m/s. What is its kinetic energy?
What is the area of a circle with diameter 10 cm?
Find the equation of the tangent to the curve \(y = x^2\) at the point (1,1).
Solve the system of equations: \(x + y = 3\), \(x - y = 1\).
What is the value of \(\int \frac{1}{x^2 + 1} \, dx\)?
Find the focal length of a lens in a compound lens system.
What is a primary key in a relational database?
Calculate the rate constant of a reaction with a given half-life.
What is the molecular geometry of the water molecule (H₂O)?
What is the oxidation state of chromium in K₂Cr₂O₇?
Identify the geometry and hybridization of the central atom in SF₄.
What is the major product of the reaction of an alkene with bromine water?
Calculate the de Broglie wavelength of an electron moving with a given velocity.
Determine the final temperature when two bodies at different temperatures are brought into thermal contact.