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Question
একটি লেকের তলদেশ থেকে উপরিতলে আসার সময় বুদবুদ আয়তনে 5 গুন হয়্ বায়ুমন্ডলের চাপ
10
5
N
m
-
2
লেকের গভীরতা কত?
20.4 m
30.61 m
40.81 m
51.01m
ANSWER : 3
Descrption
<p style="margin-left:0px;"><strong>40.81 m</strong>।</p><p style="margin-left:0px;">বুদবুদের আয়তন বৃদ্ধির সূত্র হল:</p><p>V_2 = V_1 * (P_1 / P_2)^(1/3) </p><p style="margin-left:0px;">যেখানে,</p><ul><li>V_1 হল বুদবুদের তলদেশের আয়তন</li><li>V_2 হল বুদবুদের উপরিতলের আয়তন</li><li>P_1 হল তলদেশের চাপ</li><li>P_2 হল উপরিতলের চাপ</li></ul><p style="margin-left:0px;">প্রদত্ত তথ্য অনুসারে,</p><ul><li>V_2 = 5V_1</li><li>P_1 = 10^5 Pa</li><li>P_2 = 10^5 Pa</li></ul><p style="margin-left:0px;">সুতরাং,</p><p>5V_1 = V_1 * (10^5 Pa / 10^5 Pa)^(1/3) </p><p>4V_1 = 1 </p><p>V_1 = 1/4 </p><p>P_1 = h * ρ * g </p><p>h = P_1 / ρ * g </p><p>h = 10^5 Pa / 1000 kg/m^3 * 9.8 m/s^2 </p><p>h = 40.81 m </p><p style="margin-left:0px;">অতএব, লেকের গভীরতা <strong>40.81 m</strong>।</p>
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