According to Kepler's law of periods, the ratio of the orbital periods of two planets is related to the ratio of their semi-major axes. Specifically, the ratio of the periods (T₂/T₁) equals the ratio of their radii raised to the power of three-halves. In this case, if the radius of the second planetRead more
According to Kepler’s law of periods, the ratio of the orbital periods of two planets is related to the ratio of their semi-major axes. Specifically, the ratio of the periods (T₂/T₁) equals the ratio of their radii raised to the power of three-halves. In this case, if the radius of the second planet is four times that of the first, the calculation shows that T₂/T₁ equals eight.
Therefore, if the orbital period of the first planet is 1 day, the orbital period of the second planet would be 8 days, demonstrating the significant impact of radius on orbital time.
According to Kepler’s law of periods,
T₂/T₁ = (r₂/r₁)³/² = (4/1)³/² = 8
T₂ = 8T₁= 8 x 1 day = 8 days
A satellite orbiting Earth with a specific orbital radius and time period exhibits a consistent relationship between its time period and orbital radius. According to Kepler's third law, the square of the satellite's orbital period is directly proportional to the cube of its orbital radius. This meanRead more
A satellite orbiting Earth with a specific orbital radius and time period exhibits a consistent relationship between its time period and orbital radius. According to Kepler’s third law, the square of the satellite’s orbital period is directly proportional to the cube of its orbital radius. This means that the ratio of the square of the time period to the cube of the radius remains constant for any satellite orbiting the same central body, such as Earth. This principle reflects the uniformity of gravitational influence and orbital mechanics in determining the motion of satellites around a planet.
When the central gravitational force decreases, it does not produce any torque on the orbiting body because the force acts along the radius vector. As a result, the angular momentum of the body remains conserved. Since angular momentum is directly related to areal velocity (the area swept per unit tRead more
When the central gravitational force decreases, it does not produce any torque on the orbiting body because the force acts along the radius vector. As a result, the angular momentum of the body remains conserved. Since angular momentum is directly related to areal velocity (the area swept per unit time), the areal velocity also remains unchanged. This conservation of angular momentum and areal velocity aligns with Kepler’s second law, which states that a planet sweeps out equal areas in equal time intervals, irrespective of changes in the central force magnitude, as long as no external torque is applied.
A satellite in a circular orbit of radius R has an orbital period of 4 hours. For another satellite orbiting the same planet with a radius of 3R, its orbital period can be determined using Kepler's law of periods. The ratio of the orbital periods is proportional to the ratio of their orbital radii rRead more
A satellite in a circular orbit of radius R has an orbital period of 4 hours. For another satellite orbiting the same planet with a radius of 3R, its orbital period can be determined using Kepler’s law of periods. The ratio of the orbital periods is proportional to the ratio of their orbital radii raised to the power of three-halves. Substituting the values, the period ratio is (3 R/R)³/² = √27. Therefore, the period of the second satellite is √27 x 4, or approximately 4√27 hours.
By the principle of conservation of angular momentum, the orbital period ratio of two orbits is proportional to the ratio of their radii raised to the power of three-halves. For a new orbit with a radius reduced to half of the original, the ratio becomes (R₂/R₁)³/²= 1/2√2. Therefore, the new orbitalRead more
By the principle of conservation of angular momentum, the orbital period ratio of two orbits is proportional to the ratio of their radii raised to the power of three-halves. For a new orbit with a radius reduced to half of the original, the ratio becomes (R₂/R₁)³/²= 1/2√2. Therefore, the new orbital period is 1/2√2 x T₁, where T₁ is the original period. If the initial period is 1 year, the new period becomes \1/2√2 years. This reduction indicates that the duration of the year will decrease significantly.
By conservation of angular momentum,
T₂/T₁ = (R₂/R₁)³/² = ((R₁/2)/R₁)³/² = 1/2√2
T₂ = 1/2√2 T₁ = 1/2√2 x 1 year = 1/2√2 year
Hence the duration of the year will become less.
In areas where farmers practice continuous cultivation without fallow periods, the soil nutrients become depleted over time. Continuous cropping without allowing the land to fallow prevents natural processes of nutrient restoration. The successive crops extract essential minerals from the soil, leadRead more
In areas where farmers practice continuous cultivation without fallow periods, the soil nutrients become depleted over time. Continuous cropping without allowing the land to fallow prevents natural processes of nutrient restoration. The successive crops extract essential minerals from the soil, leading to nutrient imbalance and decreased fertility.
To address this, farmers resort to the addition of manure. Manure replenishes the soil by providing organic matter and essential nutrients, sustaining the soil’s fertility. Without fallow periods or nutrient-replenishing practices, continuous cultivation contributes to soil degradation, affecting crop yield and necessitating interventions to maintain soil health and productivity.
Increasing irrigated land is crucial as it enhances agricultural productivity by ensuring consistent water supply, enabling multiple cropping seasons. This improves food security, boosts farmer income, mitigates drought impacts, promotes sustainable water use, and fosters rural development, contribuRead more
Increasing irrigated land is crucial as it enhances agricultural productivity by ensuring consistent water supply, enabling multiple cropping seasons. This improves food security, boosts farmer income, mitigates drought impacts, promotes sustainable water use, and fosters rural development, contributing significantly to the economy and livelihoods in economics.
Here are the benefits of electricity for farmers in Palampur in bullet points: - Enhanced Irrigation: Electric tube wells replaced manual methods, ensuring efficient and affordable irrigation. - Modernized Farming: Electric tools and machinery reduced manual labor and increased farming efficiency. -Read more
Here are the benefits of electricity for farmers in Palampur in bullet points:
– Enhanced Irrigation: Electric tube wells replaced manual methods, ensuring efficient and affordable irrigation.
– Modernized Farming: Electric tools and machinery reduced manual labor and increased farming efficiency.
– Crop Diversification: Better irrigation led to crop diversification, improving yields and income.
– Extended Working Hours: Electric lighting allowed for extended working hours, boosting productivity.
– Improved Living Standards: Electricity powered homes, aided education, and fostered overall community development.
Here are the key points regarding the concept of 'people as a resource': - Human Capital: People are viewed as valuable assets, possessing skills, knowledge, and abilities. - Investment in Human Potential: Emphasizes investing in education, healthcare, and skill development. - Productivity and GrowtRead more
Here are the key points regarding the concept of ‘people as a resource’:
– Human Capital: People are viewed as valuable assets, possessing skills, knowledge, and abilities.
– Investment in Human Potential: Emphasizes investing in education, healthcare, and skill development.
– Productivity and Growth: Enhancing human capabilities leads to increased productivity and economic growth.
– Innovation and Development: Individuals contribute to innovation, technological advancements, and overall societal development.
– Economic Contribution: People as a resource drive economic progress and are essential for a nation’s development.
Human resources, unlike land and physical capital, encompass individuals' skills, knowledge, and abilities, which are intangible and cannot be owned. They possess potential for continuous development, mobility, and adaptation. Unlike finite land and produced physical capital, human resources are renRead more
Human resources, unlike land and physical capital, encompass individuals’ skills, knowledge, and abilities, which are intangible and cannot be owned. They possess potential for continuous development, mobility, and adaptation. Unlike finite land and produced physical capital, human resources are renewable, with the capacity to innovate, learn, and drive economic growth, making them dynamic and pivotal for a nation’s progress in economics.
Satellite is revolving around earth. If its height is increased to four times the height of geostationary satellite, what will become its time period?
According to Kepler's law of periods, the ratio of the orbital periods of two planets is related to the ratio of their semi-major axes. Specifically, the ratio of the periods (T₂/T₁) equals the ratio of their radii raised to the power of three-halves. In this case, if the radius of the second planetRead more
According to Kepler’s law of periods, the ratio of the orbital periods of two planets is related to the ratio of their semi-major axes. Specifically, the ratio of the periods (T₂/T₁) equals the ratio of their radii raised to the power of three-halves. In this case, if the radius of the second planet is four times that of the first, the calculation shows that T₂/T₁ equals eight.
Therefore, if the orbital period of the first planet is 1 day, the orbital period of the second planet would be 8 days, demonstrating the significant impact of radius on orbital time.
According to Kepler’s law of periods,
See lessT₂/T₁ = (r₂/r₁)³/² = (4/1)³/² = 8
T₂ = 8T₁= 8 x 1 day = 8 days
A satellite is orbiting around the earth with orbital radius R and time period T. The quantity which remains constant is
A satellite orbiting Earth with a specific orbital radius and time period exhibits a consistent relationship between its time period and orbital radius. According to Kepler's third law, the square of the satellite's orbital period is directly proportional to the cube of its orbital radius. This meanRead more
A satellite orbiting Earth with a specific orbital radius and time period exhibits a consistent relationship between its time period and orbital radius. According to Kepler’s third law, the square of the satellite’s orbital period is directly proportional to the cube of its orbital radius. This means that the ratio of the square of the time period to the cube of the radius remains constant for any satellite orbiting the same central body, such as Earth. This principle reflects the uniformity of gravitational influence and orbital mechanics in determining the motion of satellites around a planet.
See lessIf gravitational constant is decreasing in time, what will remain unchanged in case of a satellite orbiting around earth?
When the central gravitational force decreases, it does not produce any torque on the orbiting body because the force acts along the radius vector. As a result, the angular momentum of the body remains conserved. Since angular momentum is directly related to areal velocity (the area swept per unit tRead more
When the central gravitational force decreases, it does not produce any torque on the orbiting body because the force acts along the radius vector. As a result, the angular momentum of the body remains conserved. Since angular momentum is directly related to areal velocity (the area swept per unit time), the areal velocity also remains unchanged. This conservation of angular momentum and areal velocity aligns with Kepler’s second law, which states that a planet sweeps out equal areas in equal time intervals, irrespective of changes in the central force magnitude, as long as no external torque is applied.
See lessA satellite in a circular orbit of radius R has a period of 4 h. Another satellite with orbital radius 3 R round the same planet will have a period (in hours)
A satellite in a circular orbit of radius R has an orbital period of 4 hours. For another satellite orbiting the same planet with a radius of 3R, its orbital period can be determined using Kepler's law of periods. The ratio of the orbital periods is proportional to the ratio of their orbital radii rRead more
A satellite in a circular orbit of radius R has an orbital period of 4 hours. For another satellite orbiting the same planet with a radius of 3R, its orbital period can be determined using Kepler’s law of periods. The ratio of the orbital periods is proportional to the ratio of their orbital radii raised to the power of three-halves. Substituting the values, the period ratio is (3 R/R)³/² = √27. Therefore, the period of the second satellite is √27 x 4, or approximately 4√27 hours.
T₂/T₁ = (3 R/R)³/² = √27
See lessT₂ = √27T₁ = 4√27 h.
When the distance between earth and sun is halved, the duration of year will become
By the principle of conservation of angular momentum, the orbital period ratio of two orbits is proportional to the ratio of their radii raised to the power of three-halves. For a new orbit with a radius reduced to half of the original, the ratio becomes (R₂/R₁)³/²= 1/2√2. Therefore, the new orbitalRead more
By the principle of conservation of angular momentum, the orbital period ratio of two orbits is proportional to the ratio of their radii raised to the power of three-halves. For a new orbit with a radius reduced to half of the original, the ratio becomes (R₂/R₁)³/²= 1/2√2. Therefore, the new orbital period is 1/2√2 x T₁, where T₁ is the original period. If the initial period is 1 year, the new period becomes \1/2√2 years. This reduction indicates that the duration of the year will decrease significantly.
By conservation of angular momentum,
See lessT₂/T₁ = (R₂/R₁)³/² = ((R₁/2)/R₁)³/² = 1/2√2
T₂ = 1/2√2 T₁ = 1/2√2 x 1 year = 1/2√2 year
Hence the duration of the year will become less.
What happens to soil nutrients in areas where farmers practice continuous cultivation without fallow periods?
In areas where farmers practice continuous cultivation without fallow periods, the soil nutrients become depleted over time. Continuous cropping without allowing the land to fallow prevents natural processes of nutrient restoration. The successive crops extract essential minerals from the soil, leadRead more
In areas where farmers practice continuous cultivation without fallow periods, the soil nutrients become depleted over time. Continuous cropping without allowing the land to fallow prevents natural processes of nutrient restoration. The successive crops extract essential minerals from the soil, leading to nutrient imbalance and decreased fertility.
To address this, farmers resort to the addition of manure. Manure replenishes the soil by providing organic matter and essential nutrients, sustaining the soil’s fertility. Without fallow periods or nutrient-replenishing practices, continuous cultivation contributes to soil degradation, affecting crop yield and necessitating interventions to maintain soil health and productivity.
See lessIs it important to increase the area under irrigation? Why?
Increasing irrigated land is crucial as it enhances agricultural productivity by ensuring consistent water supply, enabling multiple cropping seasons. This improves food security, boosts farmer income, mitigates drought impacts, promotes sustainable water use, and fosters rural development, contribuRead more
Increasing irrigated land is crucial as it enhances agricultural productivity by ensuring consistent water supply, enabling multiple cropping seasons. This improves food security, boosts farmer income, mitigates drought impacts, promotes sustainable water use, and fosters rural development, contributing significantly to the economy and livelihoods in economics.
See lessHow did the spread of electricity help farmers in Palampur?
Here are the benefits of electricity for farmers in Palampur in bullet points: - Enhanced Irrigation: Electric tube wells replaced manual methods, ensuring efficient and affordable irrigation. - Modernized Farming: Electric tools and machinery reduced manual labor and increased farming efficiency. -Read more
Here are the benefits of electricity for farmers in Palampur in bullet points:
– Enhanced Irrigation: Electric tube wells replaced manual methods, ensuring efficient and affordable irrigation.
See less– Modernized Farming: Electric tools and machinery reduced manual labor and increased farming efficiency.
– Crop Diversification: Better irrigation led to crop diversification, improving yields and income.
– Extended Working Hours: Electric lighting allowed for extended working hours, boosting productivity.
– Improved Living Standards: Electricity powered homes, aided education, and fostered overall community development.
What do you understand by ‘people as a resource’?
Here are the key points regarding the concept of 'people as a resource': - Human Capital: People are viewed as valuable assets, possessing skills, knowledge, and abilities. - Investment in Human Potential: Emphasizes investing in education, healthcare, and skill development. - Productivity and GrowtRead more
Here are the key points regarding the concept of ‘people as a resource’:
See less– Human Capital: People are viewed as valuable assets, possessing skills, knowledge, and abilities.
– Investment in Human Potential: Emphasizes investing in education, healthcare, and skill development.
– Productivity and Growth: Enhancing human capabilities leads to increased productivity and economic growth.
– Innovation and Development: Individuals contribute to innovation, technological advancements, and overall societal development.
– Economic Contribution: People as a resource drive economic progress and are essential for a nation’s development.
How is human resource different from other resources like land and physical capital?
Human resources, unlike land and physical capital, encompass individuals' skills, knowledge, and abilities, which are intangible and cannot be owned. They possess potential for continuous development, mobility, and adaptation. Unlike finite land and produced physical capital, human resources are renRead more
Human resources, unlike land and physical capital, encompass individuals’ skills, knowledge, and abilities, which are intangible and cannot be owned. They possess potential for continuous development, mobility, and adaptation. Unlike finite land and produced physical capital, human resources are renewable, with the capacity to innovate, learn, and drive economic growth, making them dynamic and pivotal for a nation’s progress in economics.
See less