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কোন স্থানে দুটি সরল দোলকের দোলনকালের অনুপাত 3 : 2 হলে এদের দৈর্ঘ্যের অনুপাত হবে-
2 : 3
6 : 4
9 : 4
4 : 9
ANSWER : 3
Descrption
<p style="margin-left:0px;"><strong>9 : 4</strong>।</p><p style="margin-left:0px;">সরল দোলকের দোলনকাল,</p><p>T = 2π√(l/g)</p><p style="margin-left:0px;">যেখানে,</p><ul><li>T হল দোলনকাল</li><li>l হল দৈর্ঘ্য</li><li>g হল অভিকর্ষজ ত্বরণ</li></ul><p style="margin-left:0px;">সুতরাং,</p><p>(T_1/T_2)^2 = (l_1/l_2)^2</p><p>(3/2)^2 = (l_1/l_2)^2</p><p>9/4 = l_1/l_2</p><p>l_1 : l_2 = 9 : 4</p><p style="margin-left:0px;">অতএব, <strong>দুটি সরল দোলকের দৈর্ঘ্যের অনুপাত হল 9 : 4</strong>।</p>
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