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 lift of mass 500 kg accelerates upward at 2 m/s². The tension in its supporting cable is (g = 10 m/s²):
सही उत्तर: ग) 6000 N
T − mg = ma, so T = m(g + a) = 500 × 12 = 6000 N.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A 10 kg block rests on a smooth incline of 30°. The horizontal force needed to keep it at rest is about (g = 10 m/s²):
सही उत्तर: क) 57.7 N
Balancing along the incline: F cos 30° = mg sin 30°, so F = mg tan 30° = 100/√3 ≈ 57.7 N.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The centripetal acceleration of a point on the Earth's equator due to the Earth's rotation is about (R = 6400 km):
सही उत्तर: घ) 0.034 m/s²
a = ω²R = (2π/86400)² × 6.4 × 10⁶ ≈ 0.034 m/s².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The position of a particle is x = 2t³ − 6t² (x in m, t in s). Its acceleration at the instant its velocity becomes zero (t > 0) is:
सही उत्तर: ख) 12 m/s²
v = 6t² − 12t = 0 at t = 2 s; a = 12t − 12 = 12 m/s² at t = 2 s.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Car A moves north at 20 m/s and car B moves east at 15 m/s. The speed of A relative to B is:
सही उत्तर: क) 25 m/s
v_AB = v_A − v_B has perpendicular components 20 and 15, so |v_AB| = √(400 + 225) = 25 m/s.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A boat moving at 5 m/s relative to the water heads perpendicular to the banks of a 60 m wide river flowing at 4 m/s. How far downstream does it land?
सही उत्तर: ख) 48 m
Crossing time = 60/5 = 12 s, during which the current carries it 4 × 12 = 48 m downstream.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A ball is thrown horizontally at 15 m/s from a height of 20 m. The angle its velocity makes with the horizontal just before it hits the ground is (g = 10 m/s²):
सही उत्तर: ग) tan⁻¹(4/3)
Fall time = √(2 × 20/10) = 2 s, so vᵧ = 20 m/s and vₓ = 15 m/s; tan θ = 20/15 = 4/3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A ball is projected at 50 m/s at 37° to the horizontal (sin 37° = 0.6, cos 37° = 0.8). Its horizontal range is (g = 10 m/s²):
सही उत्तर: घ) 240 m
R = u² sin 2θ/g = 2u² sin θ cos θ/g = 2 × 2500 × 0.6 × 0.8/10 = 240 m.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two stones are dropped from the same point, the second 1 s after the first. Their separation 3 s after the first stone is dropped is (g = 10 m/s²):
सही उत्तर: ख) 25 m
First stone falls ½ × 10 × 3² = 45 m and the second ½ × 10 × 2² = 20 m, so they are 25 m apart.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A particle moves in a straight line with initial velocity 10 m/s and a constant acceleration of −2 m/s². The distance it travels in the first 8 s is:
सही उत्तर: घ) 34 m
It stops at t = 5 s after 25 m, then moves back ½ × 2 × 3² = 9 m in the next 3 s; total distance = 25 + 9 = 34 m (displacement only 16 m).
💬 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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