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Question
কোনো মাধ্যমে 480HZ এবং 320Hz কম্পাঙ্কের দুইটি তরঙ্গ দৈর্ঘ্যের পার্থক্য 2m হলে মাধ্যমে শব্দের বেগ কত?
1800
m
s
-
1
1920
m
s
-
1
1750
m
s
-
1
2050
m
s
-
1
ANSWER : 2
Descrption
<p style="margin-left:0px;">তরঙ্গদৈর্ঘ্য এবং কম্পাঙ্কের সম্পর্ক হল:</p><p>λ = v / f </p><p style="margin-left:0px;">যেখানে,</p><ul><li>λ হলো তরঙ্গদৈর্ঘ্য (মিটার)</li><li>v হলো শব্দের বেগ (মিটার/সেকেন্ড)</li><li>f হলো কম্পাঙ্ক (হার্জ)</li></ul><p style="margin-left:0px;">এখানে,</p><ul><li>λ1 = 480 Hz</li><li>λ2 = 320 Hz</li></ul><p style="margin-left:0px;">সুতরাং,</p><p>λ1 - λ2 = 2m </p><p>(v / f1) - (v / f2) = 2m </p><p>v * (1 / f1 - 1 / f2) = 2m * f1 * f2 </p><p>v = (2m * f1 * f2) / (1 / f1 - 1 / f2) </p><p>v = (2m * 480 Hz * 320 Hz) / (1 / 480 Hz - 1 / 320 Hz) </p><p>v = 1920 m/s </p><p style="margin-left:0px;">অতএব, মাধ্যমে শব্দের বেগ হল <strong>1920 ms<sup>-1</sup></strong></p>
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