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Sample question paper for JEE Main:

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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