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Question

একটি সমবাহু প্রিজমের প্রতিসরাঙ্ক

\sqrt{2}

হলে এর নূন্যতম বিচ্যুতি কোণ কত?

60 °

30

60 °

90

60 °

45

60 °

ANSWER : 2

Descrption

<p>সমবাহু ত্রিভুজের প্রিজম কোণ, A  =  60&deg;</p>
<p>প্রতিসরাঙ্ক, <span style = "font - family: Calibri, sans - serif; font - size: 11pt;">&mu;</span>  =   <span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&radic;</span>2</p>
<p>ন্যূনতম বিচ্যুতি কোণ  =  <span style = "font - family: Calibri, sans - serif; font - size: 11pt;">&delta;<sub>m</sub></span></p>
<p><span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&mu;</span>  =  sin ( (A   +   <span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&delta;</span><sub style = "font - family: Calibri, sans - serif;">m</sub>)/2) / sin(A/2)</p>
<p>বা,  sin ((60   +   <span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&delta;</span><sub style = "font - family: Calibri, sans - serif;">m</sub>)/2) / sin(60/2)  =  <span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&radic;</span>2</p>
<p>বা, sin ((60   +   <span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&delta;</span><sub style = "font - family: Calibri, sans - serif;">m</sub>)/2)  =  <span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&radic;</span>2 x sin 30&deg;  =  1/<span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&radic;</span>2</p>
<p>বা, (60   +   <span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&delta;</span><sub style = "font - family: Calibri, sans - serif;">m</sub>)/2  =  sin<sup> - 1</sup>(1/<span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&radic;</span>2)  =  45&deg;</p>
<p>বা,  60   +   <span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&delta;</span><sub style = "font - family: Calibri, sans - serif;">m</sub>  =  45 x 2  =  90&deg;</p>
<p>বা, <span style = "font - family: Calibri, sans - serif; font - size: 14.6667px;">&delta;</span><sub style = "font - family: Calibri, sans - serif;">m</sub>  =  90  -  60  =  30&deg;.</p>

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