1. The division of different colors of light in a prism is called dispersion of light (D). When white light enters a prism, it refracts differently based on its wavelength due to the prism's shape and refractive properties. Shorter wavelengths (blue and violet) bend more than longer wavelengths (red),Read more

    The division of different colors of light in a prism is called dispersion of light (D). When white light enters a prism, it refracts differently based on its wavelength due to the prism’s shape and refractive properties. Shorter wavelengths (blue and violet) bend more than longer wavelengths (red), causing them to separate and spread out into a spectrum of colors. This dispersion is a fundamental property of prisms and is key to understanding how light behaves in optical systems. Reflection of light (A) involves bouncing off a surface, while refraction (B) is the bending of light as it passes through different mediums. Diffraction (C) is the bending of waves around obstacles or through narrow openings, distinct from the controlled separation of light by prisms. Therefore, the correct term for the separation of colors by a prism is dispersion of light, highlighting its role in optical science and technology.

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  2. When a convex lens is immersed in water, its capacity changes. The refractive index of water is higher than that of air, altering how light passes through the lens. This change causes the lens to bend light more sharply, affecting its focal length. Consequently, the focal length of the lens decreaseRead more

    When a convex lens is immersed in water, its capacity changes. The refractive index of water is higher than that of air, altering how light passes through the lens. This change causes the lens to bend light more sharply, affecting its focal length. Consequently, the focal length of the lens decreases when immersed in water. This phenomenon is due to the difference in refractive indices between air and water, where light travels slower in water than in air, causing greater refraction. As a result, the lens’s ability to converge light rays diminishes, affecting its optical performance underwater. Understanding this effect is essential in underwater optics, such as designing lenses for underwater cameras or correcting vision in aquatic environments. Therefore, when a convex lens is immersed in water, its capacity decreases due to the altered refractive conditions compared to air.

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  3. The focal length of a lens (C) with a power of +2 diopters is 50 cm. Power (in diopters) is the reciprocal of the focal length in meters. Given a lens power of +2D, the focal length can be calculated as 1 divided by 2, resulting in 0.5 meters or 50 cm. This positive diopter value indicates that theRead more

    The focal length of a lens (C) with a power of +2 diopters is 50 cm. Power (in diopters) is the reciprocal of the focal length in meters. Given a lens power of +2D, the focal length can be calculated as 1 divided by 2, resulting in 0.5 meters or 50 cm. This positive diopter value indicates that the lens is a converging lens, which focuses parallel light rays to converge at a point 50 cm away from the lens. This property is utilized in correcting conditions like hyperopia (farsightedness), where the lens helps to bring nearby objects into focus by adjusting how light converges within the eye. Understanding the relationship between lens power and focal length is crucial in optometry for prescribing lenses that correct vision impairments and in designing optical systems where precise light focusing is required. Therefore, the focal length of a +2 diopter lens is 50 cm, aligning with its optical characteristics and applications.

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  4. The power of a convex lens (D) with a focal length of 0.2 meter will be +5D. Power (in diopters) is calculated as the reciprocal of the focal length in meters. Given the focal length of 0.2 meter, the power of the lens is 1 divided by 0.2, resulting in +5D. This positive diopter value indicates thatRead more

    The power of a convex lens (D) with a focal length of 0.2 meter will be +5D. Power (in diopters) is calculated as the reciprocal of the focal length in meters. Given the focal length of 0.2 meter, the power of the lens is 1 divided by 0.2, resulting in +5D. This positive diopter value indicates that the lens converges light rays, focusing them at a point 0.2 meter away from the lens. Convex lenses are commonly used in various optical devices, including cameras, eyeglasses for correcting hyperopia (farsightedness), and magnifying glasses. Understanding lens power is crucial in optometry and ophthalmology for prescribing corrective lenses and understanding optical properties related to refraction and light focusing. Negative diopter values would indicate diverging lenses, which spread out light rays and are used for correcting myopia (nearsightedness). Therefore, the power of the convex lens with a focal length of 0.2 meter is +5D, as per the calculation based on its focal length.

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  5. The power of the lens (B) with a focal length of 25 cm will be +4D. Power in diopters (D) is determined by the reciprocal of the focal length in meters. Given that the focal length is 25 cm, which equals 0.25 meters, the calculation for power is 1 divided by 0.25, resulting in +4D. This positive dioRead more

    The power of the lens (B) with a focal length of 25 cm will be +4D. Power in diopters (D) is determined by the reciprocal of the focal length in meters. Given that the focal length is 25 cm, which equals 0.25 meters, the calculation for power is 1 divided by 0.25, resulting in +4D. This positive diopter value indicates that the lens converges light rays, focusing them at a point 25 cm away from the lens. Positive diopter values denote converging lenses, used in corrective lenses for conditions like hyperopia (farsightedness) to bring distant objects into focus. Negative diopter values would signify diverging lenses, which spread out light rays and are used for conditions like myopia (nearsightedness). Understanding lens power helps in prescribing appropriate corrective lenses and designing optical systems based on their refractive properties.

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