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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The cyclotron frequency of a proton in a magnetic field of 1 T is about (m = 1.67 × 10⁻²⁷ kg, e = 1.6 × 10⁻¹⁹ C):
सही उत्तर: घ) 15 MHz
f = qB/(2πm) = 1.6 × 10⁻¹⁹/(2π × 1.67 × 10⁻²⁷) ≈ 1.5 × 10⁷ Hz.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Three identical bulbs, each rated 40 W at 220 V, are connected in series across a 220 V supply. Assuming constant resistance, the total power drawn is about:
सही उत्तर: ग) 13.3 W
Each bulb has R = 220²/40; three in series give 3R, so P = 220²/(3R) = 40/3 ≈ 13.3 W.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A copper wire of cross-section 1 mm² carries 1.5 A. If the free-electron density is 8.5 × 10²⁸ m⁻³, the drift speed is about (e = 1.6 × 10⁻¹⁹ C):
सही उत्तर: ख) 1.1 × 10⁻⁴ m/s
v_d = I/(neA) = 1.5/(8.5 × 10²⁸ × 1.6 × 10⁻¹⁹ × 10⁻⁶) ≈ 1.1 × 10⁻⁴ m/s.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A galvanometer of resistance 50 Ω gives full-scale deflection at 2 mA. The resistance to be connected in series to make it a voltmeter of range 0–10 V is:
सही उत्तर: क) 4950 Ω
R = V/I_g − G = 10/0.002 − 50 = 4950 Ω.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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With a potentiometer, a cell balances at 150 cm on open circuit and at 125 cm when shunted by a 10 Ω resistor. The internal resistance of the cell is:
सही उत्तर: ग) 2 Ω
r = R(l₁ − l₂)/l₂ = 10 × 25/125 = 2 Ω.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Cells of emf 6 V and 4 V, each of internal resistance 1 Ω, are connected in series opposing each other with an external resistance of 3 Ω. The current is:
सही उत्तर: घ) 0.4 A
Net emf = 6 − 4 = 2 V, total resistance = 1 + 1 + 3 = 5 Ω, so I = 0.4 A.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A dielectric slab of constant K completely fills the gap of a parallel-plate capacitor that remains connected to a battery. The charge on the capacitor:
सही उत्तर: क) becomes K times
With the battery connected V is fixed, and C becomes KC, so Q = CV becomes K times.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Three capacitors of 6 μF each are available. Two are connected in series and the third is connected in parallel with this pair. The equivalent capacitance is:
सही उत्तर: ख) 9 μF
Series pair = 3 μF; adding 6 μF in parallel gives 9 μF.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Charges of +2 μC and −2 μC are 20 cm apart in air. The electric field at the midpoint between them is (k = 9 × 10⁹ N m² C⁻²):
सही उत्तर: ख) 3.6 × 10⁶ N/C
Each charge gives kq/r² = 9 × 10⁹ × 2 × 10⁻⁶/0.01 = 1.8 × 10⁶ N/C, and the two fields point the same way (towards −q), so E = 3.6 × 10⁶ N/C.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two point charges in air repel with a force F. When the same arrangement is placed in a medium of dielectric constant 4, the force becomes:
सही उत्तर: क) F/4
F = q₁q₂/(4πε₀Kr²), so the force is reduced by the factor K = 4.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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