List of practice Questions

A car is moving along a straight road with a constant velocity of 20 m/s. The driver applies the brakes, and the car decelerates at a constant rate of \(4 \, \text{m/s}^2\). How much time will it take for the car to come to rest?
A ball is thrown vertically upwards with a speed of \( 20 \, \text{m/s} \). What is the maximum height reached by the ball? Assume the acceleration due to gravity is \( g = 9.8 \, \text{m/s}^2 \).
A projectile is fired at an angle of \( 30^\circ \) with an initial velocity of \( 40 \, \text{m/s} \). What is the range of the projectile? Assume \( g = 9.8 \, \text{m/s}^2 \).
What is the pH of a solution of \( 0.01 \, \text{M} \, \text{HCl} \)?
What is the molecular weight of \( \text{CaCO}_3 \)?
Which of the following gases will have the highest rate of diffusion at the same temperature and pressure?
What is the oxidation state of sulfur in \( \text{H}_2\text{SO}_4 \)?
What volume of \( 0.5 \, \text{M} \, \text{NaOH} \) is required to neutralize \( 50 \, \text{mL} \) of \( 1 \, \text{M} \, \text{HCl} \)?
Solve the quadratic equation: \[ x^2 - 5x + 6 = 0 \]
Find the value of \( x \) in the following equation: \[ \frac{2}{x} + \frac{3}{x + 1} = 1 \]
Find the derivative of the function: \[ f(x) = 3x^3 - 5x^2 + 2x - 4 \]
A body of mass 2 kg is moving with a velocity of 3 m/s. What is its kinetic energy?
A bulb rated 60 W operates for 2 hours. How much energy does it consume in this time?
What is the focal length of a lens if its power is \( +2 \, \text{D} \)?
A stone is dropped from a height of 45 m. What is the time taken for the stone to reach the ground?
A current of 2 A flows through a resistor for 10 minutes. What is the total charge that flows through the resistor?
A body of mass 10 kg is moving with a speed of 5 m/s. What is the momentum of the body?
The potential energy of a body at a height of 10 meters is 200 J. What is its mass? (Take \( g = 10 \, \text{m/s}^2 \))
What is the resistance of a conductor if the potential difference across it is 12 V and the current flowing through it is 3 A?
A convex lens has a focal length of 10 cm. What is the magnification produced when the object is placed 30 cm from the lens?
What is the molar mass of \( \text{NaCl} \)?
Which of the following is an example of a redox reaction?
What is the pH of a solution if the concentration of \( \text{H}^+ \) ions is \( 1 \times 10^{-5} \, \text{mol/L} \)?
What is the number of moles in 18 g of water (\( \text{H}_2\text{O} \))?
Which of the following gases has the highest density at STP?