इन्जिनियरिङ प्रवेश – Mathematics, Physics, Chemistry, English
इन्जिनियरिङ प्रवेश – Mathematics, Physics, Chemistry, English
Engineering Entrance – Mathematics, Physics, Chemistry & English · ३,८४१ प्रश्न
३,८४१ प्रश्न उपलब्ध। मोड छान्नुहोस्:
इन्जिनियरिङ 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 1 kg mass attached to a spring of force constant 400 N/m oscillates on a smooth floor. Its frequency of oscillation is about:
सही उत्तर: क) 3.2 Hz
f = (1/2π)√(k/m) = 20/(2π) ≈ 3.2 Hz.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The increase in gravitational potential energy when a body of mass m is raised from the Earth's surface to a height equal to the Earth's radius R is:
सही उत्तर: ख) mgR/2
ΔU = GMm/R − GMm/2R = GMm/2R = mgR/2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The energy required to shift a satellite of mass m from a circular orbit of radius r to one of radius 2r around a planet of mass M is:
सही उत्तर: ग) GMm/(4r)
Orbital energy is −GMm/2r; the change is −GMm/4r − (−GMm/2r) = GMm/4r.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The orbital speed of a satellite at a height equal to the Earth's radius above the surface is about (g = 9.8 m/s², R = 6400 km):
सही उत्तर: घ) 5.6 km/s
v = √(GM/2R) = √(gR/2) = √(9.8 × 6.4 × 10⁶/2) ≈ 5.6 × 10³ m/s.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A planet has the same mean density as the Earth but twice its radius. The escape velocity from its surface is (vₑ = Earth's value):
सही उत्तर: ख) 2vₑ
vₑ = √(2GM/R) and M ∝ ρR³, so vₑ ∝ R√ρ; doubling R doubles vₑ.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If a planet's mass were M/9 and its radius R/3 (M, R for the Earth), the free-fall acceleration at its surface would be (g = Earth's surface value):
सही उत्तर: घ) g
g ∝ M/R² = (1/9)/(1/3)² = 1, so it equals g.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What fraction of the kinetic energy of a uniform solid cylinder that rolls on a level road without slipping is associated with its rotation?
सही उत्तर: क) 1/3
K_rot = ¼mv² and K_total = ¾mv², so the fraction is 1/3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The moment of inertia of a uniform rod of mass M and length L about a perpendicular axis at a distance L/4 from one end is:
सही उत्तर: ग) 7ML²/48
The axis is L/4 from the centre: I = ML²/12 + M(L/4)² = 4ML²/48 + 3ML²/48 = 7ML²/48.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Masses of 1 kg, 2 kg and 3 kg are placed at (0, 0), (3, 0) and (0, 4) respectively (in metres). Their centre of mass is at:
सही उत्तर: घ) (1, 2)
x = (2 × 3)/6 = 1 and y = (3 × 4)/6 = 2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A thin hollow sphere rolls down from rest without slipping through a vertical height h. Its speed at the bottom is:
सही उत्तर: ग) √(6gh/5)
mgh = ½mv²(1 + k²/R²) with k²/R² = 2/3, so v² = 2gh/(5/3) = 6gh/5.
💬 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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