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 Fresnel distance (beyond which ray optics fails for an aperture of size a) is a²/λ. For a = 1 mm and λ = 500 nm it is:
सही उत्तर: क) 2 m
z_F = a²/λ = (10⁻³)²/(5 × 10⁻⁷) = 2 m.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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When unpolarised light falls on a glass surface at the polarising (Brewster) angle, the reflected and refracted rays are:
सही उत्तर: ग) perpendicular to each other
At Brewster's angle tan θₚ = n, which leads to θₚ + r = 90°, so the reflected and refracted rays are at right angles.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For a prism of angle A made of a material with critical angle C, no ray can emerge from the second face (whatever the angle of incidence) if:
सही उत्तर: घ) A > 2C
Since r₁ + r₂ = A and r₁ ≤ C, the emergent face has r₂ ≥ A − C; if A > 2C then r₂ > C for every ray, so total internal reflection always occurs.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A simple microscope (magnifier) of focal length 5 cm is used with the final image at infinity (relaxed eye, D = 25 cm). Its magnifying power is:
सही उत्तर: क) 5
For the image at infinity, M = D/f = 25/5 = 5 (it would be 1 + D/f = 6 for the image at the near point).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The angular limit of resolution of a telescope with a 1 m diameter objective for light of 500 nm is about:
सही उत्तर: घ) 6.1 × 10⁻⁷ rad
θ = 1.22λ/D = 1.22 × 500 × 10⁻⁹/1 = 6.1 × 10⁻⁷ rad.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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By Rayleigh's law, the intensity of light scattered by small particles varies as 1/λ⁴. Light of 400 nm is therefore scattered more than light of 800 nm by a factor of:
सही उत्तर: घ) 16
Ratio = (800/400)⁴ = 2⁴ = 16.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Chromatic aberration is not produced by a spherical mirror because:
सही उत्तर: क) the law of reflection does not depend on wavelength
Reflection angles are the same for all colours, so all wavelengths focus at the same point; chromatic aberration arises from dispersion in refraction.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A concave mirror forms a virtual, erect and magnified image when the object is placed:
सही उत्तर: ग) between the pole and the focus
Only for an object within the focal length does a concave mirror give a virtual, upright, enlarged image (used as a shaving mirror).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two plane mirrors are placed parallel to each other, facing each other, with an object between them. The number of images formed is:
सही उत्तर: क) infinite
n = 360°/θ − 1 becomes infinite as θ → 0; repeated reflections between parallel mirrors give an endless series of images.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For refraction at a single spherical surface of radius R separating media of refractive indices n₁ (object side) and n₂, the relation between object distance u and image distance v is:
सही उत्तर: घ) n₂/v − n₁/u = (n₂ − n₁)/R
This is the standard formula for refraction at a spherical surface (with the Cartesian sign convention); the lens-maker's formula follows by applying it twice.
💬 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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