import { useState } from 'react' import { Button } from "/components/ui/button" import { Card, CardContent, CardDescription, CardHeader, CardTitle } from "/components/ui/card" type Question = { question: string options: string[] answer: number explanation: string } const questions: Question[] = [ { question: "What is the formula for Newton's second law of motion?", options: ["F = ma", "F = mv", "F = m/a", "F = a/m"], answer: 0, explanation: "Newton's second law states that the force acting on an object is equal to the mass of the object times its acceleration (F = ma)." }, { question: "What is the unit of force in the International System of Units (SI)?", options: ["Newton (N)", "Joule (J)", "Watt (W)", "Meter (m)"], answer: 0, explanation: "The unit of force in the SI system is the Newton (N)." }, { question: "What is the formula for work done by a constant force?", options: ["W = Fd", "W = F/a", "W = F + d", "W = F - d"], answer: 0, explanation: "Work done by a constant force is given by the product of the force and the displacement in the direction of the force (W = Fd)." }, { question: "What is the unit of energy in the International System of Units (SI)?", options: ["Joule (J)", "Newton (N)", "Watt (W)", "Meter (m)"], answer: 0, explanation: "The unit of energy in the SI system is the Joule (J)." }, { question: "What is the formula for kinetic energy?", options: ["KE = 1/2 mv^2", "KE = mv", "KE = m/v", "KE = mv^2"], answer: 0, explanation: "Kinetic energy is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity." }, { question: "What is the formula for potential energy due to gravity?", options: ["PE = mgh", "PE = mg/h", "PE = m + gh", "PE = m - gh"], answer: 0, explanation: "Potential energy due to gravity is given by the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height." }, { question: "What is the formula for the period of a simple pendulum?", options: ["T = 2π√(L/g)", "T = π√(L/g)", "T = 2π(L/g)", "T = π(L/g)"], answer: 0, explanation: "The period of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity." }, { question: "What is the formula for the moment of inertia of a solid sphere about its center?", options: ["I = 2/5 mr^2", "I = 1/2 mr^2", "I = 2 mr^2", "I = 1/5 mr^2"], answer: 0, explanation: "The moment of inertia of a solid sphere about its center is given by the formula I = 2/5 mr^2, where m is the mass and r is the radius." }, { question: "What is the formula for the torque applied to an object?", options: ["τ = rFsinθ", "τ = rFcosθ", "τ = r + Fsinθ", "τ = r - Fsinθ"], answer: 0, explanation: "Torque is given by the formula τ = rFsinθ, where r is the distance from the pivot point to the point where the force is applied, F is the force, and θ is the angle between r and F." }, { question: "What is the formula for the angular momentum of an object?", options: ["L = Iω", "L = I/ω", "L = I + ω", "L = I - ω"], answer: 0, explanation: "Angular momentum is given by the formula L = Iω, where I is the moment of inertia and ω is the angular velocity." }, { question: "What is the formula for the power delivered by a force?", options: ["P = Fv", "P = F/v", "P = F + v", "P = F - v"], answer: 0, explanation: "Power delivered by a force is given by the formula P = Fv, where F is the force and v is the velocity." }, { question: "What is the formula for the pressure exerted by a force?", options: ["P = F/A", "P = F/A^2", "P = F + A", "P = F - A"], answer: 0, explanation: "Pressure exerted by a force is given by the formula P = F/A, where F is the force and A is the area over which the force is applied." }, { question: "What is the formula for the coefficient of friction?", options: ["μ = Ff/N", "μ = FfN", "μ = Ff + N", "μ = Ff - N"], answer: 0, explanation: "The coefficient of friction is given by the formula μ = Ff/N, where Ff is the frictional force and N is the normal force." }, { question: "What is the formula for the period of a simple harmonic oscillator?", options: ["T = 2π√(m/k)", "T = π√(m/k)", "T = 2π(m/k)", "T = π(m/k)"], answer: 0, explanation: "The period of a simple harmonic oscillator is given by the formula T = 2π√(m/k), where m is the mass and k is the spring constant." }, { question: "What is the formula for the centripetal force?", options: ["Fc = mv^2/r", "Fc = mv/r", "Fc = mv^2 + r", "Fc = mv^2 - r"], answer: 0, explanation: "Centripetal force is given by the formula Fc = mv^2/r, where m is the mass, v is the velocity, and r is the radius of the circular path." }, { question: "What is the formula for the angular velocity?", options: ["ω = Δθ/Δt", "ω = ΔθΔt", "ω = Δθ + Δt", "ω = Δθ - Δt"], answer: 0, explanation: "Angular velocity is given by the formula ω = Δθ/Δt, where Δθ is the change in angular displacement and Δt is the change in time." }, { question: "What is the formula for the moment of inertia of a thin rod about its center?", options: ["I = 1/12 mL^2", "I = 1/2 mL^2", "I = mL^2", "I = 1/3 mL^2"], answer: 0, explanation: "The moment of inertia of a thin rod about its center is given by the formula I = 1/12 mL^2, where m is the mass and L is the length of the rod." }, { question: "What is the formula for the work done by a variable force?", options: ["W = ∫Fdx", "W = Fdx", "W = F + dx", "W = F - dx"], answer: 0, explanation: "Work done by a variable force is given by the integral W = ∫Fdx, where F is the force and dx is the infinitesimal displacement." }, { question: "What is the formula for the power in terms of torque and angular velocity?", options: ["P = τω", "P = τ/ω", "P = τ + ω", "P = τ - ω"], answer: 0, explanation: "Power in terms of torque and angular velocity is given by the formula P = τω, where τ is the torque and ω is the angular velocity." } ] export default function QuizApp() { const [currentQuestionIndex, setCurrentQuestionIndex] = useState(0) const [selectedAnswer, setSelectedAnswer] = useState(null) const [score, setScore] = useState(0) const [showFeedback, setShowFeedback] = useState(false) const currentQuestion = questions[currentQuestionIndex] const handleAnswerSelect = (index: number) => { setSelectedAnswer(index) } const handleNextQuestion = () => { if (selectedAnswer === currentQuestion.answer) { setScore(score + 1) } setSelectedAnswer(null) setShowFeedback(false) setCurrentQuestionIndex((prevIndex) => prevIndex + 1) } const handleShowFeedback = () => { setShowFeedback(true) } if (currentQuestionIndex >= questions.length) { return ( Quiz Completed

Your final score is: {score} out of {questions.length}

) } return ( Question {currentQuestionIndex + 1} {currentQuestion.question}

{currentQuestion.options.map((option, index) => ( ))}

{selectedAnswer !== null && (

{showFeedback && (

{selectedAnswer === currentQuestion.answer ? 'Correct!' : 'Incorrect!'}

{currentQuestion.explanation}

)}

)} ) }