{"id":29589,"date":"2025-06-21T07:36:19","date_gmt":"2025-06-21T07:36:19","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=29589"},"modified":"2025-06-21T07:36:21","modified_gmt":"2025-06-21T07:36:21","slug":"49-after-decaying-for-48-hours-l-16-of-the-original-mass-of-a-radioisotope-sample-remains-unchanged","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/49-after-decaying-for-48-hours-l-16-of-the-original-mass-of-a-radioisotope-sample-remains-unchanged\/","title":{"rendered":"49 After decaying for 48 hours, l\/16 of the original mass of a radioisotope sample remains unchanged"},"content":{"rendered":"\n<p>49 After decaying for 48 hours, l\/16 of the original mass of a radioisotope sample remains unchanged. What is the half-life of this radioisotope? (1) 3.0 h (3) 12 h(2) 9.6 h (4) 24 h<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: (3) 12 h<\/strong><\/p>\n\n\n\n<p>To find the half-life of a radioisotope, we use the concept that the amount of a radioactive substance decreases by half after each half-life period. In this problem, after 48 hours, only <strong>1\/16<\/strong> of the original mass remains. This fraction helps us determine how many half-lives have passed.<\/p>\n\n\n\n<p>We start by understanding the pattern:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>After 1 half-life: 1\/2 remains<\/li>\n\n\n\n<li>After 2 half-lives: 1\/4 remains<\/li>\n\n\n\n<li>After 3 half-lives: 1\/8 remains<\/li>\n\n\n\n<li>After 4 half-lives: 1\/16 remains<\/li>\n<\/ul>\n\n\n\n<p>So, we can clearly see that 4 half-lives have passed in 48 hours. To find the length of one half-life, divide the total time by the number of half-lives: Half-life=48&nbsp;hours4=12&nbsp;hours\\text{Half-life} = \\frac{48\\ \\text{hours}}{4} = 12\\ \\text{hours}<\/p>\n\n\n\n<p>Thus, the correct half-life of this radioisotope is <strong>12 hours<\/strong>.<\/p>\n\n\n\n<p>This calculation is important in nuclear chemistry and physics. The half-life is a constant value for a given isotope and does not depend on the amount of substance or external conditions like temperature or pressure. It is a measure of how quickly a radioactive substance undergoes decay. By understanding how many half-lives have passed, scientists can estimate how much of a sample remains and how long it will take for a substance to become safe or non-radioactive.<\/p>\n\n\n\n<p>This concept is also used in medicine (radioactive tracers), archaeology (carbon dating), and environmental science (nuclear waste management). In all these fields, calculating half-lives allows accurate tracking of how a substance behaves over time.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>49 After decaying for 48 hours, l\/16 of the original mass of a radioisotope sample remains unchanged. What is the half-life of this radioisotope? (1) 3.0 h (3) 12 h(2) 9.6 h (4) 24 h The correct answer and explanation is: Correct Answer: (3) 12 h To find the half-life of a radioisotope, we use [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-29589","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29589","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=29589"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29589\/revisions"}],"predecessor-version":[{"id":29590,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29589\/revisions\/29590"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=29589"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=29589"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=29589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}