{"id":157423,"date":"2023-09-06T11:22:30","date_gmt":"2023-09-06T05:52:30","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=157423"},"modified":"2023-09-06T11:22:35","modified_gmt":"2023-09-06T05:52:35","slug":"consider-the-motion-of-a-particle-along-the-x-axis-in-a-potential-%f0%9d%91%89%f0%9d%91%a5-%f0%9d%90%b9%f0%9d%91%a5-its-ground-state-energy-%f0%9d%90%b80-is","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/consider-the-motion-of-a-particle-along-the-x-axis-in-a-potential-%f0%9d%91%89%f0%9d%91%a5-%f0%9d%90%b9%f0%9d%91%a5-its-ground-state-energy-%f0%9d%90%b80-is\/","title":{"rendered":"Consider the motion of a particle along the x-axis in a potential \ud835\udc49(\ud835\udc65) = \ud835\udc39|\ud835\udc65|. Its ground state energy \ud835\udc380 is"},"content":{"rendered":"\n<p>Q. Consider the motion of a particle along the x-axis in a potential \ud835\udc49(\ud835\udc65) = \ud835\udc39|\ud835\udc65|. Its ground state energy \ud835\udc38<sub>0<\/sub> is estimated using the uncertainty principle. Then \ud835\udc38<sub>0<\/sub> is proportional to<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-776.png\" alt=\"\" class=\"wp-image-157425\" style=\"width:546px;height:61px\" width=\"546\" height=\"61\"\/><\/figure>\n\n\n\n<p>Ans: Option D<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-777.png\" alt=\"\" class=\"wp-image-157434\" style=\"width:619px;height:260px\" width=\"619\" height=\"260\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-777.png 837w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-777-300x126.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-777-768x322.png 768w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. Consider the motion of a particle along the x-axis in a potential \ud835\udc49(\ud835\udc65) = \ud835\udc39|\ud835\udc65|. Its ground state energy \ud835\udc380 is estimated using the uncertainty principle. Then \ud835\udc380 is proportional to Ans: Option D Sol:<\/p>\n","protected":false},"author":419,"featured_media":157436,"comment_status":"open","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-4)","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-4)","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-4)","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":[5141],"tags":[5140],"class_list":["post-157423","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/157423","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=157423"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/157423\/revisions"}],"predecessor-version":[{"id":157438,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/157423\/revisions\/157438"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/157436"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=157423"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=157423"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=157423"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}