SECTION A: PHYSICS
1. A bullet of mass 10g and velocity 500m/s strikes a wooden block of mass 1kg and is embedded in it. What is the final velocity of the wooden block?
2. A convex lens has a focal length of 20cm. If an object is placed 40cm in front of the lens, what is the image distance?
A car moves along a circular track of radius 100m with a constant speed of 20m/s. What is the centripetal force acting on the car?
A current of 5A flows through a wire of resistance 10Ω. What is the voltage across the wire?
A ball is thrown from the top of a building with a velocity of 20m/s at an angle of 30 degrees to the horizontal. What is the maximum height reached by the ball?
SECTION B: CHEMISTRY
What is the formula for hydrochloric acid?
What is the chemical formula for magnesium chloride?
What is the pH of a solution with a hydrogen ion concentration of 1 x 10^-5 mol/L?
What is the chemical formula for calcium oxide?
What is the balanced chemical equation for the reaction of hydrochloric acid with sodium hydroxide?
SECTION C: MATHEMATICS
Find the value of x in the equation 2x + 3 = 7x - 4.
Simplify the expression (2x + 3y)^2.
Find the equation of the line passing through the points (1, 2) and (3, 4).
Solve the quadratic equation x^2 + 5x + 6 = 0.
Find the derivative of the function f(x) = x^3 - 2x^2 + 5x - 7.
ANSWER KEY:
SECTION A: PHYSICS
50m/s
60cm
200N
50V
30m
SECTION B: CHEMISTRY
HCl
MgCl2
5
CaO
HCl + NaOH → NaCl + H2O
SECTION C: MATHEMATICS
x = 1
4x^2 + 12xy + 9y^2
y = x + 1
x = -2 or x = -3
f'(x) = 3x^2 - 4x + 5
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