दो शाफ्ट, A और B, एक ही पदार्थ के बने हैं। यदि A का व्यास B के व्यास का तीन गुना है, तो A द्वारा प्रेषित किया जा सकने वाला टॉर्क होगा:

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RRB JE ME 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. B के 9 गुना
  2. B के 27 गुना
  3. B के 16 गुना
  4. B के 64 गुना

Answer (Detailed Solution Below)

Option 2 : B के 27 गुना
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Detailed Solution

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सिद्धांत:

एक वृत्ताकार शाफ्ट द्वारा प्रेषित टॉर्क इसके व्यास के घन के समानुपाती होता है, जो सूत्र द्वारा दिया गया है:

\( T = \frac{\pi}{16} \cdot τ \cdot d^3 \)

दिया गया है:

  • शाफ्ट A और B एक ही पदार्थ के हैं → समान अपरूपण प्रतिबल \(\tau\)
  • A का व्यास B के व्यास का 3 गुना है → dA = 3dB

गणना:

\( \frac{T_A}{T_B} = \left( \frac{d_A}{d_B} \right)^3 = 3^3 = 27 \)

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