{"id":85700,"date":"2025-06-01T03:25:05","date_gmt":"2025-06-01T03:25:05","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=85700"},"modified":"2025-06-01T03:25:05","modified_gmt":"2025-06-01T03:25:05","slug":"an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/","title":{"rendered":"An electron and a proton starting from rest are accelerated through a"},"content":{"rendered":"

An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?<\/p>\n

[amp_mcq option1=”The kinetic energy of both the particles will be different.” option2=”The speed of the electron will be higher than that of the proton.” option3=”The speed of the proton will be higher than that of the electron.” option4=”The speed of the electron and the proton will be equal.” correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CDS-2 – 2017<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe speed of the electron will be higher than that of the proton.
\n<\/section>\n
\nWhen an electron and a proton, both starting from rest, are accelerated through the same potential difference V, they gain the same kinetic energy (KE). The kinetic energy gained is equal to the work done by the electric field, which is qV, where q is the charge of the particle and V is the potential difference. The magnitude of charge is the same for both electron and proton (|q_e| = |q_p|). So, KE_electron = KE_proton = |q|V.
\n<\/section>\n
\nKinetic energy is given by KE = 1\/2 * mv\u00b2, where m is the mass and v is the speed. Since KE is the same for both particles, and the mass of the electron (m_e) is significantly less than the mass of the proton (m_p) (m_e \u2248 m_p\/1836), for the equation 1\/2 * m_e * v_e\u00b2 = 1\/2 * m_p * v_p\u00b2 to hold, the velocity of the lighter particle (electron) must be greater than the velocity of the heavier particle (proton). Thus, v_e > v_p.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct? [amp_mcq option1=”The kinetic energy of both the particles will be different.” option2=”The speed of the electron will be higher than that of the proton.” option3=”The speed of … <\/p>\n

Detailed SolutionAn electron and a proton starting from rest are accelerated through a<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1088],"tags":[1101,1201,1128],"class_list":["post-85700","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-2","tag-1101","tag-electric-current","tag-physics","no-featured-image-padding"],"yoast_head":"\nAn electron and a proton starting from rest are accelerated through a<\/title>\n<meta name=\"description\" content=\"The speed of the electron will be higher than that of the proton. When an electron and a proton, both starting from rest, are accelerated through the same potential difference V, they gain the same kinetic energy (KE). The kinetic energy gained is equal to the work done by the electric field, which is qV, where q is the charge of the particle and V is the potential difference. The magnitude of charge is the same for both electron and proton (|q_e| = |q_p|). So, KE_electron = KE_proton = |q|V.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"An electron and a proton starting from rest are accelerated through a\" \/>\n<meta property=\"og:description\" content=\"The speed of the electron will be higher than that of the proton. When an electron and a proton, both starting from rest, are accelerated through the same potential difference V, they gain the same kinetic energy (KE). The kinetic energy gained is equal to the work done by the electric field, which is qV, where q is the charge of the particle and V is the potential difference. The magnitude of charge is the same for both electron and proton (|q_e| = |q_p|). So, KE_electron = KE_proton = |q|V.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T03:25:05+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"An electron and a proton starting from rest are accelerated through a","description":"The speed of the electron will be higher than that of the proton. When an electron and a proton, both starting from rest, are accelerated through the same potential difference V, they gain the same kinetic energy (KE). The kinetic energy gained is equal to the work done by the electric field, which is qV, where q is the charge of the particle and V is the potential difference. The magnitude of charge is the same for both electron and proton (|q_e| = |q_p|). So, KE_electron = KE_proton = |q|V.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/","og_locale":"en_US","og_type":"article","og_title":"An electron and a proton starting from rest are accelerated through a","og_description":"The speed of the electron will be higher than that of the proton. When an electron and a proton, both starting from rest, are accelerated through the same potential difference V, they gain the same kinetic energy (KE). The kinetic energy gained is equal to the work done by the electric field, which is qV, where q is the charge of the particle and V is the potential difference. The magnitude of charge is the same for both electron and proton (|q_e| = |q_p|). So, KE_electron = KE_proton = |q|V.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T03:25:05+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/","url":"https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/","name":"An electron and a proton starting from rest are accelerated through a","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T03:25:05+00:00","dateModified":"2025-06-01T03:25:05+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The speed of the electron will be higher than that of the proton. When an electron and a proton, both starting from rest, are accelerated through the same potential difference V, they gain the same kinetic energy (KE). The kinetic energy gained is equal to the work done by the electric field, which is qV, where q is the charge of the particle and V is the potential difference. The magnitude of charge is the same for both electron and proton (|q_e| = |q_p|). So, KE_electron = KE_proton = |q|V.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/an-electron-and-a-proton-starting-from-rest-are-accelerated-through-a\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CDS-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cds-2\/"},{"@type":"ListItem","position":3,"name":"An electron and a proton starting from rest are accelerated through a"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/85700","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=85700"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/85700\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=85700"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=85700"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=85700"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}