आईओई इन्जिनियरिङ प्रवेश (त्रिवि) M.Sc. इन्जिनियरिङ प्रवेश तयारी
आईओई इन्जिनियरिङ प्रवेश (त्रिवि) – M.Sc. इन्जिनियरिङ प्रवेश
IOE M.Sc. Engineering Entrance · IOE Entrance (TU)
३,८४१ प्रश्न उपलब्ध। मोड छान्नुहोस्:
BE/B.Arch प्रवेश: प्रश्न र उत्तर
सही लागेको विकल्पमा थिच्नुहोस्। सही भए हरियो, गलत भए रातो देखिन्छ; ३ सेकेन्डपछि सही उत्तर र व्याख्या देखिन्छ।
सही: ० / ०
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A uniform rod of length L, density ρ and Young's modulus Y hangs vertically from one end. The extension produced by its own weight is:
सही उत्तर: क) ρgL²/(2Y)
The tension at distance x from the free end is ρAgx; integrating ρgx dx/Y from 0 to L gives ρgL²/(2Y).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A steel rod is clamped rigidly at both ends and heated through 50 K. With Y = 2 × 10¹¹ N/m² and α = 1.2 × 10⁻⁵ K⁻¹, the thermal stress developed is:
सही उत्तर: ग) 1.2 × 10⁸ N/m²
The prevented strain is αΔT, so stress = YαΔT = 2 × 10¹¹ × 1.2 × 10⁻⁵ × 50 = 1.2 × 10⁸ N/m².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A wooden cylinder floats upright in water with a length h submerged. If it is pushed down slightly and released, it oscillates with period:
सही उत्तर: ख) 2π√(h/g)
An extra depth x gives a restoring force ρ_w A g x, and the mass is ρ_w A h (equal to the displaced water), so ω² = g/h.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A particle is subjected to two perpendicular SHMs x = A sin ωt and y = A cos ωt. Its path is:
सही उत्तर: ख) a circle of radius A
x² + y² = A²(sin²ωt + cos²ωt) = A², which is a circle of radius A.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A uniform rod of length L pivoted at one end swings as a compound pendulum. For small oscillations its period is:
सही उत्तर: ख) 2π√(2L/(3g))
T = 2π√(I/(mgd)) with I = mL²/3 and d = L/2, which gives 2π√(2L/(3g)).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A simple pendulum with a bob of relative density 8 has period T in air. When the bob swings fully immersed in water (ignoring viscosity), its period becomes about:
सही उत्तर: घ) 1.07 T
Buoyancy reduces the effective g to g(1 − σ/ρ) = 7g/8, so T′ = T√(8/7) ≈ 1.07 T.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Taking the Earth's rotation into account, the effective acceleration due to gravity at latitude λ is:
सही उत्तर: ग) g − ω²R cos²λ
The centrifugal effect has a component ω²R cos²λ along the radius, which subtracts from g; it is greatest at the equator and zero at the poles.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Three particles, each of mass m, are placed at the corners of an equilateral triangle of side a. The gravitational potential energy of the system is:
सही उत्तर: ग) −3Gm²/a
There are three pairs, each contributing −Gm²/a, so U = −3Gm²/a.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If a straight tunnel were dug through the Earth along a diameter, a body dropped into it would perform SHM with a period of about (R = 6400 km, g = 9.8 m/s²):
सही उत्तर: घ) about 85 minutes
Inside a uniform Earth g ∝ distance from the centre, so T = 2π√(R/g) ≈ 5.08 × 10³ s ≈ 84.6 min.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The period of a satellite revolving in a circular orbit around the Earth:
सही उत्तर: ग) does not depend on the mass of the satellite
T = 2π√(r³/GM) contains only the orbital radius and the Earth's mass, not the satellite's mass.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
यी अभ्यास प्रश्न हुन्, आधिकारिक प्रश्न होइनन्। पाठ्यक्रम, विज्ञापन र नतिजाका लागि सम्बन्धित निकायको आधिकारिक वेबसाइट हेर्नुहोस्। उत्तरमा गल्ती भेटे प्रश्नमुनिको "टिप्पणी / गल्ती रिपोर्ट" मा लेख्नुहोस्।
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