{"id":223750,"date":"2025-06-02T10:10:55","date_gmt":"2025-06-02T10:10:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=223750"},"modified":"2025-06-02T10:14:16","modified_gmt":"2025-06-02T10:14:16","slug":"ix-x-x-x-ix-x-b-x-x-x-xi","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/02\/ix-x-x-x-ix-x-b-x-x-x-xi\/","title":{"rendered":"The particle enters this region horizontally from the left and then curves upward, indicating the influence of the magnetic field on its motion."},"content":{"rendered":"\n

The particle enters this region horizontally from the left and then curves upward, indicating the influence of the magnetic field on its motion.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The image shows a charged particle moving through a region with a uniform magnetic field<\/strong> directed into the page<\/strong> (denoted by the orange crosses). The particle enters this region horizontally from the left and then curves upward<\/strong>, indicating the influence of the magnetic field on its motion.<\/p>\n\n\n\n

\n\n\n\n

Correct Answer:<\/strong><\/h3>\n\n\n\n

The particle is positively charged<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Explanation<\/strong><\/h3>\n\n\n\n

This scenario is a classic application of the Lorentz force<\/strong>, which governs the motion of charged particles in magnetic fields. The force F\u20d7\\vec{F} acting on a charged particle of charge qq moving with velocity v\u20d7\\vec{v} in a magnetic field B\u20d7\\vec{B} is given by: F\u20d7=qv\u20d7\u00d7B\u20d7\\vec{F} = q\\vec{v} \\times \\vec{B}<\/p>\n\n\n\n

Given:<\/strong><\/h4>\n\n\n\n
    \n
  • The velocity v\u20d7\\vec{v} of the particle is initially to the right<\/strong> (positive x-direction).<\/li>\n\n\n\n
  • The magnetic field B\u20d7\\vec{B} is into the page<\/strong> (denoted by the “\u00d7” symbols).<\/li>\n\n\n\n
  • The path of the particle curves upward<\/strong> (toward the positive y-direction).<\/li>\n<\/ul>\n\n\n\n

    Let\u2019s apply the right-hand rule<\/strong> for the cross product v\u20d7\u00d7B\u20d7\\vec{v} \\times \\vec{B}:<\/p>\n\n\n\n

      \n
    1. Point your right-hand fingers in the direction of v\u20d7\\vec{v} (to the right).<\/li>\n\n\n\n
    2. Curl your fingers into the page (direction of B\u20d7\\vec{B}).<\/li>\n\n\n\n
    3. Your thumb points upward<\/strong> \u2014 the direction of the magnetic force F\u20d7\\vec{F}.<\/li>\n<\/ol>\n\n\n\n

      Since the magnetic force is upward<\/strong>, and the force is qv\u20d7\u00d7B\u20d7q\\vec{v} \\times \\vec{B}, this indicates the charge qq must be positive<\/strong> for the direction of force to match the observed upward curvature.<\/p>\n\n\n\n

      If the charge were negative<\/strong>, the force direction would be opposite \u2014 i.e., downward<\/strong>, which contradicts the observed upward deflection.<\/p>\n\n\n\n

      \n\n\n\n

      Conclusion:<\/strong><\/h3>\n\n\n\n

      The particle curves upward due to the Lorentz force acting in that direction, which happens only if the particle has a positive charge<\/strong>. This is a direct application of the right-hand rule for positive charges in magnetic fields.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      The particle enters this region horizontally from the left and then curves upward, indicating the influence of the magnetic field on its motion. The Correct Answer and Explanation is: The image shows a charged particle moving through a region with a uniform magnetic field directed into the page (denoted by the orange crosses). The particle […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-223750","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223750","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=223750"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223750\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223750"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223750"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223750"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}