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Time period of a mass-spring system: The formula for the time period of a mass-spring system is: T=2π√m/k Where: m=500 g=0.5 kg(convert to kg), k=20 N/m is the spring constant. Substitute the values: T=2π√0.5/20 T=2π√0.025 T≈2π×0.158≈0.993 s Related Questions: A simple pendulum has a time period of 2 s. It is called a second pendulum. Find the length of a … Read more
3. Gravitational acceleration on a planet: Given: Length of pendulum L=2 m Time period T=5 s. Using the formula for the time period: T=2π√L/g Rearranging for g: g=4π2L/T2 Substitute the given values: g=4π2×2/5 g≈4×9.87×2/25 g≈2.51m/s2 Related Questions: A simple pendulum has a time period of 2 s. It is called a second pendulum. Find the length of … Read more
Length of the pendulum on the Moon for a 5-second time period: We are given that the time period on the Moon should be 5 seconds. The formula for the time period is: T=2π√L/g Rearrange the formula to find L: L=gT2/4π2L Substitute the values for the Moon: L=1.63×52/4π2 L≈6.53×6.25≈40.8m Related Questions: A simple pendulum … Read more
Length of a second pendulum on Earth and the Moon: The time period of a simple pendulum is given by the formula: T=2π√L/g Where: T is the time period, L is the length of the pendulum, g is the acceleration due to gravity. We are given that T=2s for a second pendulum. On Earth: Acceleration … Read more
Defects of Vision are conditions that cause the eye to not focus images properly on the retina, resulting in blurry or distorted vision. These defects can be corrected with the help of lenses or medical intervention. 1. Myopia (Nearsightedness) Definition: Myopia is a condition where a person can see nearby objects clearly, but distant objects … Read more
Astronomical Telescope: An astronomical telescope is an optical instrument designed to observe distant celestial objects like stars, planets, and galaxies. It uses lenses or mirrors to gather and magnify light, allowing astronomers to view objects that are too far away to be seen with the naked eye. Construction of an Astronomical Telescope: An astronomical telescope … Read more
A compound microscope is an optical instrument that uses more than one lens to magnify small objects. It is commonly used in laboratories for examining specimens like cells, bacteria, or thin slices of biological tissues. Construction of a Compound Microscope: The basic construction of a compound microscope involves several key parts: Eyepiece (ocular lens): This … Read more
Magnifying Lens or Simple Microscope: A magnifying lens or simple microscope is a single convex lens that is used to magnify objects. It works on the principle of forming a magnified image of a small object that is placed close to the lens. This type of microscope does not have multiple lenses like more complex … Read more
Resolving Power and Magnifying Power are two important terms used to describe the capabilities of optical instruments like microscopes and telescopes. 1. Resolving Power: Definition: Resolving power refers to the ability of an optical instrument to distinguish between two closely spaced objects. It is the minimum distance between two points at which they can still … Read more
A lens is a transparent optical device that bends light. Types: 1. Convex lens (Converging lens): Thicker in the center, brings light together. 2. Concave lens (Diverging lens): Thinner in the center, spreads light apart. Terminologies: Optical center (O): The center of the lens. Principal axis: A straight line passing through the center of the … Read more