List of practice Questions

Idioms/Proverbs: Which of the following idioms means "to do something in a very energetic or enthusiastic manner"?
Find the derivative of \( f(x) = 3x^2 - 4x + 7 \).
Solve for \( x \) in the equation \( \frac{2x - 3}{4} = 5 \).
Find the value of \( \log_2 32 \).
Find the derivative of \( f(x) = 4x^3 - 6x^2 + 2x - 5 \).
What is the area of a triangle with base \( 12 \, \text{cm} \) and height \( 8 \, \text{cm} \)?
A body of mass 10 kg is moving with a velocity of 20 m/s. What is the kinetic energy of the body?
A force of \( 10 \, \text{N} \) acts on a body of mass \( 2 \, \text{kg} \). What is the acceleration of the body?
A parallel plate capacitor has a capacitance of \( 4 \, \mu\text{F} \). If the dielectric constant of the material between the plates is \( 5 \), what will be the new capacitance?
A body of mass 5 kg is moving with a velocity of 15 m/s. What is its momentum?
What is the wavelength of a sound wave with a frequency of \( 500 \, \text{Hz} \) in air? (Take the speed of sound in air as \( 340 \, \text{m/s} \))
What is the molecular mass of \( \text{K}_2\text{SO}_4 \)?
Which of the following gases has the highest density at STP?
What is the pH of a \( 0.01 \, \text{M} \) solution of \( \text{HCl} \)?
Which of the following compounds has the highest boiling point?
What is the oxidation number of sulfur in \( \text{H}_2\text{SO}_4 \)?
What is the pH of a \( 0.01 \, \text{M} \) solution of \( \text{NaOH} \)?
A block of mass \(2\, \text{kg}\) is placed on a smooth horizontal surface. A force of \(10\, \text{N}\) is applied horizontally on the block. What is the acceleration of the block?
A ray of light strikes a plane mirror at an angle of incidence \(30^\circ\). What is the angle between the incident ray and the reflected ray?
Two point charges \(+2 \, \mu\text{C}\) and \(-2 \, \mu\text{C}\) are placed 0.1 m apart in air. What is the electrostatic force between them?
The energy of a photon is \(6.6 \times 10^{-19} \, \text{J}\). What is the frequency of the photon?
(Take Planck’s constant \(h = 6.6 \times 10^{-34} \, \text{Js}\))
A gas expands from volume \(V\) to \(2V\) at constant pressure \(P\). What is the work done by the gas?
How many moles are present in \(44\, \text{g}\) of \(CO_2\)?
(Molar mass of \(CO_2 = 44\, \text{g/mol}\))
Which of the following elements has the smallest atomic radius?
Which of the following is the major product of the reaction between 1-bromobutane and potassium hydroxide in ethanol?