आईओई इन्जिनियरिङ प्रवेश (त्रिवि) BE / B.Arch प्रवेश परीक्षा तयारी
आईओई इन्जिनियरिङ प्रवेश (त्रिवि) – BE / B.Arch प्रवेश परीक्षा
IOE BE / B.Arch 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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The Boolean expression (A + B)·(A + C) simplifies to:
सही उत्तर: ख) A + BC
Expanding: A + AC + AB + BC = A(1 + C + B) + BC = A + BC.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Roughly how many half-lives must pass for the activity of a radioactive sample to fall to one-thousandth of its initial value?
सही उत्तर: ग) 10
(1/2)ⁿ = 1/1000 gives n = log₂1000 ≈ 10 (since 2¹⁰ = 1024).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In a series LCR circuit the rms voltages across R, L and C are 40 V, 60 V and 30 V. The rms supply voltage is:
सही उत्तर: घ) 50 V
V = √(V_R² + (V_L − V_C)²) = √(1600 + 900) = 50 V.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The energy stored per unit volume in a magnetic field B in vacuum is:
सही उत्तर: घ) B²/(2μ₀)
Magnetic energy density u = B²/(2μ₀), the counterpart of ε₀E²/2 for electric fields.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two long parallel wires 0.1 m apart in air carry currents of 2 A and 3 A. The force per unit length between them is (μ₀/2π = 2 × 10⁻⁷ T m/A):
सही उत्तर: क) 1.2 × 10⁻⁵ N/m
F/l = μ₀I₁I₂/(2πd) = 2 × 10⁻⁷ × 6/0.1 = 1.2 × 10⁻⁵ N/m.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A semicircular wire of radius r carrying current I lies in a plane perpendicular to a uniform magnetic field B. The net magnetic force on it is:
सही उत्तर: ख) 2BIr
The force on a curved wire in a uniform field equals that on the straight line joining its ends, of length 2r: F = BI(2r).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two identical conducting spheres carry charges +3 μC and −1 μC. They are touched together and then separated. The charge on each is now:
सही उत्तर: ग) +1 μC
The total charge +2 μC is shared equally between identical spheres: +1 μC each.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A fish 4 m below the calm surface of water (n = 4/3) sees the whole outside world through a circular window on the surface. The radius of this circle is about:
सही उत्तर: ग) 4.5 m
r = h tan C, where sin C = 3/4 so tan C = 3/√7: r = 12/√7 ≈ 4.5 m.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A convex lens of focal length 20 cm forms a virtual image three times the size of the object. The object distance is about:
सही उत्तर: घ) 13.3 cm
With u = −x and v = −3x: 1/v − 1/u = 1/f gives 2/(3x) = 1/20, so x = 40/3 ≈ 13.3 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Water falls from a height of 420 m. If all its potential energy were converted into heat in the water, its temperature would rise by (g = 10 m/s², c = 4200 J kg⁻¹ K⁻¹):
सही उत्तर: क) 1 K
mgh = mcΔT gives ΔT = gh/c = 10 × 420/4200 = 1 K.
💬 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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