Which one of the following statements is not correct?
(a) The longest wavelength of Light visible to the human eye is about 700 nm.
(b) The shortest wavelength of Light visible to the human eye is about 400 nm.
(c) The wavelength of gamma rays is longer than that of X-rays.
(d) The ability of a telescope to form separable images of close objects is called its resolving power.
Explanation: This question focuses on key ideas from the electromagnetic Spectrum and basic optical instrument properties. The electromagnetic Spectrum consists of different types of radiations arranged according to wavelength and frequency. In this arrangement, visible Light occupies a small region between ultraviolet and infrared radiations, and each color within visible Light has a characteristic wavelength range. Optical radiation such as X-rays and gamma rays lies at the high-energy end of the Spectrum, where wavelengths are extremely small compared to visible Light. Understanding how wavelength varies across different regions helps in comparing their physical behavior, including penetration power, energy content, and interaction with Matter. Another important concept involved is resolving power, which refers to the ability of an optical device like a telescope to distinguish two closely spaced objects as separate images. This depends on factors such as aperture size and wavelength used. When analyzing such statements, one must carefully apply the correct ordering of wavelengths across different radiations and the correct definitions of optical terms. A clear conceptual understanding of Spectrum hierarchy and optical resolution ensures accurate interpretation of how different radiations behave and how instruments are designed to observe distant or closely spaced objects in practical applications of Physics.
Option c – The wavelength of gamma rays is longer than that of X-rays
Choose the correct statement.
(a) The wavelength of red Light is less than violet Light.
(b) The wavelength of red Light is more than violet Light.
(c) The wavelength of violet Light is more than green light.
(d) The wavelength of violet light is more than yellow light.
Explanation: This question is based on the ordering of wavelengths within the visible region of the electromagnetic Spectrum. Visible light consists of different colors, each associated with a specific wavelength range, and these wavelengths vary smoothly across the Spectrum. As one moves through the sequence of colors, there is a systematic change in wavelength, which also affects frequency and energy. Shorter wavelengths correspond to higher energy photons, while longer wavelengths correspond to lower energy photons. These variations are responsible for optical phenomena such as dispersion, where light splits into its constituent colors, and also influence how different colors are perceived by the human eye. The visible Spectrum is structured in such a way that each color occupies a distinct position, making comparisons between them possible based on wavelength relationships. Understanding this arrangement is important in Optics because it explains how light interacts with materials, how prisms separate light, and how different colors behave under refraction. A strong grasp of these relationships helps in interpreting experimental observations and theoretical Questions involving color, wavelength, and energy.
Option b – The wavelength of red light is more than violet light
Distant objects can be seen with the help of
(a) chronometer
(b) telescope
(c) microscope
(d) spectroscope
Explanation: This question is related to optical instruments used for viewing objects that are far away. Human vision has a limited ability to clearly observe distant objects because the eye alone cannot collect and focus sufficient light from far sources. Optical instruments are designed to enhance this capability by using lenses or mirrors to gather light and form magnified images. Such devices work on the principle of refraction or reflection of light, allowing parallel rays from distant objects to be brought to focus at the focal plane of a lens system. This improves clarity and makes faraway objects appear larger and more detailed. Instruments used for distant observation are widely applied in astronomy, navigation, and surveillance. They are designed to increase angular size rather than actual size, which helps in better visual perception of objects that are otherwise too small or too far to be seen clearly. The working involves a combination of objective and eyepiece lenses that first form a real image and then magnify it for viewing. Understanding this principle is important in Optics as it explains how human vision limitations are overcome using Technology.
Option b – telescope
Which one of the following statements is correct about the magnification of an optical microscope?
(a) Magnification increases with the increase in the focal length of the eyepiece.
(b) Magnification increases with the increase in the focal length of the objective.
(c) Magnification does not depend upon the focal length of the eyepiece.
(d) Magnification decreases with the increase in the focal length of the eyepiece.
Explanation: This question is based on how magnification in an optical microscope depends on its optical components. A compound microscope uses two lenses: an objective lens that forms a real, enlarged image of a very small object, and an eyepiece lens that further magnifies this image for the observer. The overall magnification depends on the focal lengths of both lenses as well as the tube length. In general, shorter focal lengths of lenses result in higher magnification because they produce larger image angles and stronger convergence of light rays. The eyepiece plays a crucial role in angular magnification, as it acts like a simple magnifier for the intermediate image formed by the objective. The objective lens is primarily responsible for producing a detailed enlarged image, while the eyepiece enhances its visibility. Understanding the relationship between focal length and magnification helps in analyzing how optical instruments are designed for high-resolution viewing of microscopic structures. This concept is widely used in biological studies, material science, and medical diagnostics where very small objects must be observed with clarity and precision.
Option d – Magnification decreases with the increase in the focal length of the eyepiece
The focal length of the objective lens of a telescope is 50 cm. If the magnification of the telescope is 25, then the focal length of the eyepiece is
(a) 12.5 cm
(b) 5 cm
(c) 2 cm
(d) 10 cm
Explanation: This question involves the relationship between focal lengths of lenses in a telescope and its magnifying power. A telescope is designed to observe distant objects by collecting light through an objective lens and then magnifying the resulting image using an eyepiece lens. The objective lens has a longer focal length to gather light and form a real image of a distant object at its focal plane. The eyepiece then acts as a magnifier for this intermediate image. The magnification of a telescope depends on the ratio of the focal length of the objective lens to that of the eyepiece lens. A higher magnification is achieved when the eyepiece has a shorter focal length compared to the objective lens. This relationship is fundamental in telescope design, as it allows astronomers to adjust image size and clarity by selecting appropriate lens combinations. Understanding this principle is essential in optical Physics because it explains how distant celestial objects can be observed in greater detail by manipulating focal properties of lenses.
Option c – 2 cm
The ability to distinguish two closely placed objects is
Explanation: This question deals with a key property of optical instruments known as resolution. Resolution refers to the capability of an optical system to distinguish two nearby points as separate and distinct entities. Even if two objects appear close together, a system with good resolution can still show them as separate images, whereas a system with poor resolution may merge them into a single blurred image. This property depends on factors such as wavelength of light used and aperture size of the optical device. Shorter wavelengths generally improve resolution because they reduce Diffraction effects, allowing finer details to be observed. Larger apertures also improve resolution by allowing more light and reducing angular spreading. This concept is critical in fields like astronomy and microscopy, where observing fine details is essential. The quality of images formed by telescopes, microscopes, and cameras is largely determined by their resolving ability. Understanding this concept helps explain why advanced instruments are designed to maximize clarity and distinguishability of closely spaced objects in scientific observations.
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