Dimensional Formulae of Physical Quantities.html

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work?","number":6,"points":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","info":"Work or energy is represented as force multiplied by distance, resulting in the dimensions of [M\u00b9 L\u00b2 T\u207b\u00b2].","deleted_at":null,"time_limit_seconds":null,"language":"en","image":null,"subtopic":null,"difficulty":"very difficult","upload_file_name":null,"upload_snippet":null,"upload_id":null,"has_multiple_answers":false,"shuffled_pairs":null,"answers":[{"id":39638179,"question_id":11150527,"text":"[M\u00b9 L\u2070 T\u207b\u00b2]","order":1,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638180,"question_id":11150527,"text":"[M\u2070 L\u00b2 T\u207b\u00b2]","order":2,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638181,"question_id":11150527,"text":"[M\u00b9 L\u00b2 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[{"id":11150521,"upload_chunk_id":null,"quiz_id":749995,"type":"multiple_choice","text":"What are the dimensions of mass density?","number":0,"points":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","info":"Mass density is defined as mass per unit volume, leading to the dimensional formula [ML\u207b\u00b3 T\u2070].","deleted_at":null,"time_limit_seconds":null,"language":"en","image":null,"subtopic":null,"difficulty":"very difficult","upload_file_name":null,"upload_snippet":null,"upload_id":null,"has_multiple_answers":false,"shuffled_pairs":null,"answers":[{"id":39638155,"question_id":11150521,"text":"[ML\u207b\u00b3 T\u2070]","order":1,"correct":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638156,"question_id":11150521,"text":"[M\u00b2 L\u207b\u00b2 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T\u207b\u00b3].","deleted_at":null,"time_limit_seconds":null,"language":"en","image":null,"subtopic":null,"difficulty":"very difficult","upload_file_name":null,"upload_snippet":null,"upload_id":null,"has_multiple_answers":false,"shuffled_pairs":null,"answers":[{"id":39638159,"question_id":11150522,"text":"[M\u00b9 L T\u207b\u00b2]","order":1,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638160,"question_id":11150522,"text":"[M\u2070 L\u00b2 T\u207b\u00b2]","order":2,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638161,"question_id":11150522,"text":"[M\u00b9 L\u00b2 T\u207b\u00b3]","order":3,"correct":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638162,"question_id":11150522,"text":"[M\u00b9 L\u00b2 T\u207b\u00b2]","order":4,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null}]},{"id":11150523,"upload_chunk_id":null,"quiz_id":749995,"type":"multiple_choice","text":"What is the relationship for acceleration measured in dimensional formula?","number":2,"points":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","info":"Acceleration is defined as the change in velocity over time, resulting in the formula [M\u2070 L\u00b9 T\u207b\u00b2].","deleted_at":null,"time_limit_seconds":null,"language":"en","image":null,"subtopic":null,"difficulty":"very difficult","upload_file_name":null,"upload_snippet":null,"upload_id":null,"has_multiple_answers":false,"shuffled_pairs":null,"answers":[{"id":39638163,"question_id":11150523,"text":"[M\u00b9 L\u00b2 T\u207b\u00b9]","order":1,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638164,"question_id":11150523,"text":"[M\u2070 L\u2070 T\u207b\u00b2]","order":2,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638165,"question_id":11150523,"text":"[M\u2070 L\u00b9 T\u207b\u00b2]","order":3,"correct":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638166,"question_id":11150523,"text":"[M\u2070 L\u00b9 T\u207b\u00b3]","order":4,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null}]},{"id":11150524,"upload_chunk_id":null,"quiz_id":749995,"type":"multiple_choice","text":"Which dimensional formula corresponds to impulsive 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T\u207b\u00b2]","order":3,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638170,"question_id":11150524,"text":"[M\u00b9 L\u00b9 T\u207b\u00b9]","order":4,"correct":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null}]},{"id":11150525,"upload_chunk_id":null,"quiz_id":749995,"type":"multiple_choice","text":"What dimensional formula represents pressure?","number":4,"points":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","info":"Pressure is defined as force per unit area, resulting in the dimensions of [M\u00b9 L\u207b\u00b9 T\u207b\u00b2].","deleted_at":null,"time_limit_seconds":null,"language":"en","image":null,"subtopic":null,"difficulty":"very 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T\u207b\u00b2]","order":4,"correct":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null}]},{"id":11150526,"upload_chunk_id":null,"quiz_id":749995,"type":"multiple_choice","text":"Which dimensional formula corresponds to the coefficient of viscosity?","number":5,"points":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","info":"The coefficient of viscosity is defined through the relationship involving force, area, and velocity gradient, leading to its formula of [M\u00b9 L\u207b\u00b9 T\u207b\u00b9].","deleted_at":null,"time_limit_seconds":null,"language":"en","image":null,"subtopic":null,"difficulty":"very difficult","upload_file_name":null,"upload_snippet":null,"upload_id":null,"has_multiple_answers":false,"shuffled_pairs":null,"answers":[{"id":39638175,"question_id":11150526,"text":"[M\u00b9 L\u207b\u00b9 T\u207b\u00b9]","order":1,"correct":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638176,"question_id":11150526,"text":"[M\u2070 L\u2070 T\u207b\u00b2]","order":2,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638177,"question_id":11150526,"text":"[M\u00b9 L T\u207b\u00b2]","order":3,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638178,"question_id":11150526,"text":"[M\u00b9 L\u207b\u00b2 T\u207b\u00b9]","order":4,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null}]},{"id":11150527,"upload_chunk_id":null,"quiz_id":749995,"type":"multiple_choice","text":"What dimensional formula represents energy or work?","number":6,"points":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","info":"Work or energy is represented as force multiplied by distance, resulting in the dimensions of [M\u00b9 L\u00b2 T\u207b\u00b2].","deleted_at":null,"time_limit_seconds":null,"language":"en","image":null,"subtopic":null,"difficulty":"very difficult","upload_file_name":null,"upload_snippet":null,"upload_id":null,"has_multiple_answers":false,"shuffled_pairs":null,"answers":[{"id":39638179,"question_id":11150527,"text":"[M\u00b9 L\u2070 T\u207b\u00b2]","order":1,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638180,"question_id":11150527,"text":"[M\u2070 L\u00b2 T\u207b\u00b2]","order":2,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638181,"question_id":11150527,"text":"[M\u00b9 L\u00b2 T\u207b\u00b2]","order":3,"correct":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638182,"question_id":11150527,"text":"[M\u00b2 L\u00b2 T\u207b\u00b2]","order":4,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null}]},{"id":11150528,"upload_chunk_id":null,"quiz_id":749995,"type":"multiple_choice","text":"The dimensional formula for frequency is?","number":7,"points":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","info":"Frequency is the reciprocal of the time period, leading to its dimensional formula of [M\u2070 L\u2070 T\u207b\u00b9].","deleted_at":null,"time_limit_seconds":null,"language":"en","image":null,"subtopic":null,"difficulty":"very difficult","upload_file_name":null,"upload_snippet":null,"upload_id":null,"has_multiple_answers":false,"shuffled_pairs":null,"answers":[{"id":39638183,"question_id":11150528,"text":"[M\u2070 L\u00b2 T\u207b\u00b9]","order":1,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638184,"question_id":11150528,"text":"[M\u2070 L\u2070 T\u2070]","order":2,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638185,"question_id":11150528,"text":"[M\u2070 L\u2070 T\u207b\u00b2]","order":3,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638186,"question_id":11150528,"text":"[M\u2070 L\u2070 T\u207b\u00b9]","order":4,"correct":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null}]},{"id":11150524,"upload_chunk_id":null,"quiz_id":749995,"type":"multiple_choice","text":"Which dimensional formula corresponds to impulsive forces?","number":3,"points":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","info":"Impulse is defined as force multiplied by time, leading to the dimensional formula of [M\u00b9 L\u00b9 T\u207b\u00b9].","deleted_at":null,"time_limit_seconds":null,"language":"en","image":null,"subtopic":null,"difficulty":"very difficult","upload_file_name":null,"upload_snippet":null,"upload_id":null,"has_multiple_answers":false,"shuffled_pairs":null,"answers":[{"id":39638167,"question_id":11150524,"text":"[M\u00b9 L 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T\u207b\u00b2]","order":3,"correct":1,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null},{"id":39638166,"question_id":11150523,"text":"[M\u2070 L\u00b9 T\u207b\u00b3]","order":4,"correct":0,"created_at":"2024-07-19T14:14:08.000000Z","updated_at":"2024-07-19T14:14:08.000000Z","deleted_at":null,"pairs":null}]}])"} ::: {#progress-bar.fixed.top-0.left-0.w-full.h-1.z-50 data-x-model="progress" data-x-data="{ progressValue: 0 }" data-x-modelable="progressValue"} ::: {.h-1.bg-primary-3 style="`width: ${progressValue}%`"} ::: ::: ::: {#play-top-bar.bg-elevated-4.p-2.animate__animated.animate__slideInDown} ::: {.grid.grid-cols-4} ::: {.col-span-2.flex.space-x-1} ::: {.hidden.lg:block} ::: Dimensional Formulae of Physical Quantities ::: ::: {.col-span-2} ::: {.float-right.pt-1.5.mr-2 data-x-tooltip="Change Theme"} ::: ::: ::: ::: ::: {#play-main-container.grid.flex-grow.p-4.overflow-y-scroll} ::: {.fixed.inset-0.z-50.flex.items-center.justify-center.bg-elevated-4.bg-opacity-50 data-x-show="showFlashcardWelcome" style="display: none;"} ::: {.bg-surface-0.dark:bg-elevated-3.p-6.w-full.h-full.overflow-auto} ::: {.absolute.top-0.right-0.p-4} ::: ::: {.pt-6.sm:pt-20} ::: {.prose.prose-lg.dark:prose-dark.mx-auto} #### Using Flashcards {#using-flashcards.font-semibold.text-primary-1.dark:text-primary-2} Introducing Spaced Repetition {#introducing-spaced-repetition.text-gray-900.dark:text-surface-4} ----------------------------- Quizgecko\'s spaced repetition algorithm helps you learn more effectively. 1. [📘 Show Question:]{.font-semibold} Start by viewing the question. 2. [📗 Reveal Answer:]{.font-semibold} When ready, check the correct answer 3. [🤔 Rate Confidence:]{.font-semibold} Indicate how well you knew the answer. 4. [🔁 Smart Repetition:]{.font-semibold} Your confidence ratings help determine when a card will be shown again. You\'re ready to start learning! Let\'s begin. ::: ::: {.flex.justify-center.mt-8} View Flashcards ::: ::: ::: ::: ::: {#flashcard-holder.{.'cursor-pointer':.!cardsFinished.} data-=""} ::: {.[.'text-elevated-3.px-8.py-6.mt-1.2xl:mt-16.flex.flex-col.items-center.justify-center.rounded-2xl.lg:min-h-[200px].xl:min-h-[250px].2xl:min-h-[500px]',.answerDisplayed.?.'bg-primary-5.dark:bg-primary-0'.:.'bg-surface-2.dark:bg-elevated-4',.animateCardFlip.?.(answerDisplayed.?.'.card-flip-in'.:.'.card-flip-out').:.''.] data-x-ref="flashcard"} ::: {data-x-show="!cardsFinished && !animateCardFlip" data-enter="transition ease-out duration-150" data-enter-start="opacity-70" data-enter-end="opacity-100" style=""} ::: {.prose.prose-lg.dark:prose-dark} ### {#section data-x-html="$markdown(question.text)"} Which of the following represents the dimensional formula for power? ::: ::: ::: {.mt-8 data-x-show="cardsFinished" style="display: none;"} ::: {.mb-2.grid.sm:grid-cols-2.gap-4.max-w-xl} Mastery Score {#mastery-score.text-3xl.font-bold.dark:text-surface-0} ------------- {data-x-text="masteryScore"} [%]{.text-xl.dark:text-surface-0} Mark flashcards \"Perfectly\" or ace quiz questions to reach 100% ::: {.mt-6.sm:mt-0.w-40.sm:w-80.mx-auto} ::: {#donut-chart} ::: ::: ::: ::: {.mt-6.sm:mt-18.mb-2} ### Flashcards ({data-x-text="cards.length"}) {#flashcards-10.text-xl.font-bold.mb-4.dark:text-surface-2} ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### What are the dimensions of mass density? {#what-are-the-dimensions-of-mass-density.text-lg.font-bold.dark:text-surface-0 data-x-text="card.text"} \[ML⁻³ T⁰\] ::: ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### Which of the following represents the dimensional formula for power? {#which-of-the-following-represents-the-dimensional-formula-for-power.text-lg.font-bold.dark:text-surface-0 data-x-text="card.text"} \[M¹ L² T⁻³\] ::: ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### What is the relationship for acceleration measured in dimensional formula? {#what-is-the-relationship-for-acceleration-measured-in-dimensional-formula.text-lg.font-bold.dark:text-surface-0 data-x-text="card.text"} \[M⁰ L¹ T⁻²\] ::: ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### Which dimensional formula corresponds to impulsive forces? {#which-dimensional-formula-corresponds-to-impulsive-forces.text-lg.font-bold.dark:text-surface-0 data-x-text="card.text"} \[M¹ L¹ T⁻¹\] ::: ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### What dimensional formula represents pressure? {#what-dimensional-formula-represents-pressure.text-lg.font-bold.dark:text-surface-0 data-x-text="card.text"} \[M¹ L⁻¹ T⁻²\] ::: ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### Which dimensional formula corresponds to the coefficient of viscosity? {#which-dimensional-formula-corresponds-to-the-coefficient-of-viscosity.text-lg.font-bold.dark:text-surface-0 data-x-text="card.text"} \[M¹ L⁻¹ T⁻¹\] ::: ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### What dimensional formula represents energy or work? {#what-dimensional-formula-represents-energy-or-work.text-lg.font-bold.dark:text-surface-0 data-x-text="card.text"} \[M¹ L² T⁻²\] ::: ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### The dimensional formula for frequency is? {#the-dimensional-formula-for-frequency-is.text-lg.font-bold.dark:text-surface-0 data-x-text="card.text"} \[M⁰ L⁰ T⁻¹\] ::: ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### Which dimensional formula corresponds to impulsive forces? {#which-dimensional-formula-corresponds-to-impulsive-forces-1.text-lg.font-bold.dark:text-surface-0 data-x-text="card.text"} \[M¹ L¹ T⁻¹\] ::: ::: {.mt-4.p-4.rounded-xl.bg-primary-5.dark:bg-primary-0} ### What is the relationship for acceleration measured in dimensional formula? {#what-is-the-relationship-for-acceleration-measured-in-dimensional-formula-1.text-lg.font-bold.dark:text-surface-0 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{.flex.min-h-full.items-center.justify-center.sm:p-0} ::: {.relative.transform.overflow-hidden.bg-surface-0.dark:bg-elevated-3.text-left.shadow-xl.dark:shadow-none.dark:border.dark:border-elevated-3.transition-all.sm:my-8.sm:w-full.sm:max-w-2xl.sm:rounded-xl.w-full.h-full.sm:h-auto.min-h-screen.sm:min-h-0 data-click.outside="show = false"} ::: {.absolute.right-0.top-0.pr-4.pt-4.block} [Close]{.sr-only} ::: ::: {.p-8} ::: ::: {.flex.justify-end.p-4.space-x-2.bg-surface-2.dark:bg-elevated-3} Got it! ::: ::: ::: ::: ::: ::: {#modal-limit.relative.z-30 data-x-data="{ show: false, focusables() { // All focusable element types... let selector = 'a, button, input:not([type=\'hidden\']), textarea, select, details, [tabindex]:not([tabindex=\'-1\'])' return [...$el.querySelectorAll(selector)] // All non-disabled elements....filter(el => !el.hasAttribute('disabled')) }, firstFocusable() { return this.focusables() }, lastFocusable() { return this.focusables().slice(-1) }, nextFocusable() { return this.focusables()[this.nextFocusableIndex()] || this.firstFocusable() }, prevFocusable() { return this.focusables()[this.prevFocusableIndex()] || this.lastFocusable() }, nextFocusableIndex() { return (this.focusables().indexOf(document.activeElement) + 1) % (this.focusables().length + 1) }, prevFocusableIndex() { return Math.max(0, this.focusables().indexOf(document.activeElement)) - 1 }, }" data-x-init="$watch('show', value => { if (value) { document.body.classList.add('overflow-y-hidden'); } else { document.body.classList.remove('overflow-y-hidden'); } })" data-open-modal.window="$event.detail == 'limit' ? show = true : null" data-close.stop="show = false" data-close-modal.window="$event.detail == 'limit' ? show = false : null" data-keydown.escape.window="show = false" data-keydown.tab.prevent="$event.shiftKey || nextFocusable().focus()" data-keydown.shift.tab.prevent="prevFocusable().focus()" data-x-show="show" data-aria-labelledby="modal-title" data-role="dialog" 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