[DOCS] Add Quiz for Basics of Mechanical Engineering (BME) (Follow up for #142)-3

[NaitikVerma6776]

Description

This issue tracks the addition of a subject-level quiz for Basics of Mechanical Engineering (BME) on the openCSE quiz page (/quiz).

This is a follow-up to #142, which added the BME subject documentation. A quiz will help students test their understanding of the key concepts covered in the BME subject.

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Proposed Quiz Topics (10 Questions)

• First Law of Thermodynamics
• Carnot Efficiency formula
• Dryness Fraction of Steam
• Otto Cycle — heat addition process
• CRDI (Common Rail Direct Injection)
• Ferrous vs Non-Ferrous Materials
• Bending Equation (M/I = σ/y = E/R)
• Diesel Cycle — heat addition process
• MPFI (Multi-Point Fuel Injection)
• Torsion Equation (T/J = τ/r = Gθ/L)

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Files to be Modified

• lib/quizData.ts — add BME quiz entry to the quizzes array

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Additional Notes

• Quiz will follow the same structure as existing subject-level quizzes (e.g. DevOps, C Programming).
• 10 questions with 4 options each, instant feedback, and explanations for every answer.
• No new files need to be created — only lib/quizData.ts needs to be updated.

Hello Sir @pushkarscripts, please assign this issue to me.