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State the condition under which a large magnification can be achieved in an astronomical telescope.
A large magnification in an astronomical telescope can be achieved when the objective lens has a long focal length, and the eyepiece has a short focal length. This increases the ratio of the objective's focal length to the eyepiece's focal length, enhancing magnification. For more visit here: https:Read more
A large magnification in an astronomical telescope can be achieved when the objective lens has a long focal length, and the eyepiece has a short focal length. This increases the ratio of the objective’s focal length to the eyepiece’s focal length, enhancing magnification.
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Why is the value of angle of deviation for a ray of light undergoing refraction through a glass prism for different colours of light?
The angle of deviation differs for different colors of light because each color has a unique wavelength, leading to varying refractive indices in the glass prism. Shorter wavelengths, like violet, are refracted more, causing greater deviation, while longer wavelengths, like red, deviate less. For moRead more
The angle of deviation differs for different colors of light because each color has a unique wavelength, leading to varying refractive indices in the glass prism. Shorter wavelengths, like violet, are refracted more, causing greater deviation, while longer wavelengths, like red, deviate less.
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How does the angle of minimum deviation of a glass prism vary, if the incident violet light is replaced by red light? Give reason.
The angle of minimum deviation decreases when violet light is replaced by red light. This is because red light has a longer wavelength, resulting in a lower refractive index for the glass prism. Consequently, red light undergoes less bending compared to violet light, reducing the angle of minimum deRead more
The angle of minimum deviation decreases when violet light is replaced by red light. This is because red light has a longer wavelength, resulting in a lower refractive index for the glass prism. Consequently, red light undergoes less bending compared to violet light, reducing the angle of minimum deviation.
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A disc is rolling on the inclined plane. What is the ratio of its rotation KE to the total KE?
When a disc rolls down an inclined plane, it has two types of kinetic energy: translational and rotational. The translational kinetic energy is due to the movement of the center of mass of the disc along the incline, while the rotational kinetic energy is due to the disc spinning around its axis asRead more
When a disc rolls down an inclined plane, it has two types of kinetic energy: translational and rotational. The translational kinetic energy is due to the movement of the center of mass of the disc along the incline, while the rotational kinetic energy is due to the disc spinning around its axis as it rolls.
For the solid disc, its moment of inertia plays an important role in determining how the energy is distributed between these two types of kinetic energy. For the disc that rolls without slipping, there exists a relationship between its linear velocity and its angular velocity, connecting the translational motion with the rotational motion.
When the total kinetic energy of the disc is analyzed, it is evident that the rotational kinetic energy is a part of the total energy. Once the contributions of both translational and rotational kinetic energy are evaluated, it is found that the ratio of the rotational kinetic energy to the total kinetic energy of a rolling disc is one to three. This means that for every part of kinetic energy contributed by rotation, three parts are from translation, thereby showing the balance between these two forms of energy in rolling motion.
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See lessA body is projected from the ground with some angle to the horizontal. What happens to the angular momentum about the initial position in this motion?
When a body is projected from the ground at an angle to the horizontal, its angular momentum about the position of projection changes as it moves through its entire flight. At first, the body has angular momentum, depending on its speed and the distance between the point of projection and its centerRead more
When a body is projected from the ground at an angle to the horizontal, its angular momentum about the position of projection changes as it moves through its entire flight. At first, the body has angular momentum, depending on its speed and the distance between the point of projection and its center of mass, respectively. However, as the body continues through its trajectory, gravitational forces are applied. The weight of the body creates a torque about the point of projection, which affects its angular momentum.
As the body rises, the vertical component of its velocity decreases due to gravity, and it eventually reaches its maximum height before descending. During this time, the torque exerted by gravity continuously alters the angular momentum. Since the gravitational force always acts vertically downward through the centre of mass, the distance between line of action of gravitational force and pivot changes due to motion. Therefore, a loss of angular momentum occurs due to rotation at the original axis. All the angular momentum is reduced during this whole course of motion in the projected body due to both gravitational torque as well as displacement of the moving body with the pivot point.
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