The acceleration due to gravity is directly proportional to the density of a planet, assuming the radius remains constant. This means that if the density of a planet doubles, the value of gravity on its surface also doubles. For example, increasing a planet's density while maintaining the same sizeRead more
The acceleration due to gravity is directly proportional to the density of a planet, assuming the radius remains constant. This means that if the density of a planet doubles, the value of gravity on its surface also doubles. For example, increasing a planet’s density while maintaining the same size results in a stronger gravitational pull.
This relationship highlights how changes in a planet’s internal composition, such as an increase in mass per unit volume, can significantly impact its gravitational force. Thus, doubling the density leads to a direct doubling of the gravitational acceleration experienced on the planet’s surface.
g = 4/3πGRp i.e, g ∝ p
If density is doubled, then the value of g also gets doubled.
The acceleration due to gravity for a body on the Earth’s surface depends on the mass of the Earth and its radius. It is directly proportional to the Earth's mass and inversely proportional to the square of its radius. This means that as the mass of the Earth increases, the gravitational pull also iRead more
The acceleration due to gravity for a body on the Earth’s surface depends on the mass of the Earth and its radius. It is directly proportional to the Earth’s mass and inversely proportional to the square of its radius. This means that as the mass of the Earth increases, the gravitational pull also increases, making the acceleration due to gravity stronger.
Conversely, if the radius of the Earth increases while keeping its mass constant, the gravitational force weakens, reducing the acceleration due to gravity. This proportional relationship explains how Earth’s mass and size influence gravity experienced at its surface.
The gravitational force between two objects is influenced by their masses, the distance between them, and the density of the material involved. When the mass of an object is expressed in terms of its volume and density, the force becomes proportional to the fourth power of the radius, assuming the dRead more
The gravitational force between two objects is influenced by their masses, the distance between them, and the density of the material involved. When the mass of an object is expressed in terms of its volume and density, the force becomes proportional to the fourth power of the radius, assuming the density remains constant.
This relationship indicates that as the radius of an object increases, the gravitational force grows significantly due to the radius being raised to the fourth power. This dependence on radius highlights the impact of size and density in determining the strength of gravitational interactions.
F = G (m x m)/((2 R)²) = G ((4/3 πR³p)²)/(4 R²)
F ∝ R⁴
The Rowlatt Act of 1919 was perceived by Indians primarily as: (b) It was considered as severely curtailing the right to personal liberty. Indians viewed the Rowlatt Act as an oppressive law that severely restricted civil liberties, particularly personal freedoms, such as the right to a fair trial aRead more
The Rowlatt Act of 1919 was perceived by Indians primarily as:
(b) It was considered as severely curtailing the right to personal liberty.
Indians viewed the Rowlatt Act as an oppressive law that severely restricted civil liberties, particularly personal freedoms, such as the right to a fair trial and habeas corpus. It allowed for detention without trial, leading to widespread protests and opposition against the act, as it curtailed fundamental rights of individuals.
The rising trend of installing submersible water pumps in Rajasthan, capable of extracting groundwater from depths of 250-300 meters, is likely to result in: (d) water scarcity resulting from excessive utilization. Excessive extraction of groundwater using these pumps may deplete the groundwater resRead more
The rising trend of installing submersible water pumps in Rajasthan, capable of extracting groundwater from depths of 250-300 meters, is likely to result in:
(d) water scarcity resulting from excessive utilization.
Excessive extraction of groundwater using these pumps may deplete the groundwater reservoirs faster than natural recharge, leading to a scarcity of water resources. Over-utilization could cause imbalances in water availability, impacting domestic, agricultural, and other essential uses, potentially leading to a shortage of water in the region.
Bahadur Shah Zafar's Final Years in Exile 1. Exile to Rangoon: Captured by the British after the 1857 rebellion, Zafar was exiled to Rangoon in 1858 along with family members. 2. Impoverished Conditions: Lived in destitution and isolation, enduring hardships and declining health in exile. 3. Loss ofRead more
Bahadur Shah Zafar’s Final Years in Exile
1. Exile to Rangoon: Captured by the British after the 1857 rebellion, Zafar was exiled to Rangoon in 1858 along with family members.
2. Impoverished Conditions: Lived in destitution and isolation, enduring hardships and declining health in exile.
3. Loss of Royal Status: Witnessed the collapse of the Mughal Empire and the loss of his royal status and legacy.
4. Deteriorating Health: Suffered from declining health due to the harsh conditions of exile and advanced age.
5. Passing in Exile: Bahadur Shah Zafar breathed his last on November 7, 1862, in Rangoon, signifying the end of the Mughal dynasty.
Zafar’s final years were marked by suffering, poverty, and solitude, standing in stark contrast to his earlier reign as the Mughal emperor.
Population composition refers to the demographic structure of a population based on age, sex, education, occupation, and other factors. It provides insights into a society's makeup. This data aids policymakers in understanding social needs and forming relevant policies, guiding future developments fRead more
Population composition refers to the demographic structure of a population based on age, sex, education, occupation, and other factors. It provides insights into a society’s makeup. This data aids policymakers in understanding social needs and forming relevant policies, guiding future developments for diverse societal requirements.
Population pyramids visually represent a population's age and gender distribution through two side-by-side bar graphs. They help understand a country's population by revealing age demographics, gender ratios, and aiding in predicting future trends. Governments use these to plan social services, educRead more
Population pyramids visually represent a population’s age and gender distribution through two side-by-side bar graphs. They help understand a country’s population by revealing age demographics, gender ratios, and aiding in predicting future trends. Governments use these to plan social services, education, and employment strategies.
A Constitution is crucial for a democratic country as it establishes fundamental laws, protects citizens' rights, ensures a balanced distribution of power among government branches, provides stability in governance, enables citizen participation, and serves as a legal framework, adapting to societalRead more
A Constitution is crucial for a democratic country as it establishes fundamental laws, protects citizens’ rights, ensures a balanced distribution of power among government branches, provides stability in governance, enables citizen participation, and serves as a legal framework, adapting to societal changes for fair and just governance.
Without restrictions, elected representatives might abuse power, leading to corruption, violation of citizens' rights, and lack of accountability. Unchecked authority could result in unilateral decision-making, undermining democracy and causing social unrest, endangering the nation's stability and cRead more
Without restrictions, elected representatives might abuse power, leading to corruption, violation of citizens’ rights, and lack of accountability. Unchecked authority could result in unilateral decision-making, undermining democracy and causing social unrest, endangering the nation’s stability and citizen trust in governance.
If the density of earth is doubled keeping its radius constant, then acceleration due to gravity g is
The acceleration due to gravity is directly proportional to the density of a planet, assuming the radius remains constant. This means that if the density of a planet doubles, the value of gravity on its surface also doubles. For example, increasing a planet's density while maintaining the same sizeRead more
The acceleration due to gravity is directly proportional to the density of a planet, assuming the radius remains constant. This means that if the density of a planet doubles, the value of gravity on its surface also doubles. For example, increasing a planet’s density while maintaining the same size results in a stronger gravitational pull.
This relationship highlights how changes in a planet’s internal composition, such as an increase in mass per unit volume, can significantly impact its gravitational force. Thus, doubling the density leads to a direct doubling of the gravitational acceleration experienced on the planet’s surface.
g = 4/3πGRp i.e, g ∝ p
See lessIf density is doubled, then the value of g also gets doubled.
Acceleration due to gravity g for a body of mass m on earth’s surface is proportional (Radius of earth = R, mass of earth = M) to)
The acceleration due to gravity for a body on the Earth’s surface depends on the mass of the Earth and its radius. It is directly proportional to the Earth's mass and inversely proportional to the square of its radius. This means that as the mass of the Earth increases, the gravitational pull also iRead more
The acceleration due to gravity for a body on the Earth’s surface depends on the mass of the Earth and its radius. It is directly proportional to the Earth’s mass and inversely proportional to the square of its radius. This means that as the mass of the Earth increases, the gravitational pull also increases, making the acceleration due to gravity stronger.
Conversely, if the radius of the Earth increases while keeping its mass constant, the gravitational force weakens, reducing the acceleration due to gravity. This proportional relationship explains how Earth’s mass and size influence gravity experienced at its surface.
g = GM/R² ∴ g ∝ M/R²
See lessTwo balls, each of radius R, equal mass and density are placed in contact, then the force of gravitation between them is proportional to
The gravitational force between two objects is influenced by their masses, the distance between them, and the density of the material involved. When the mass of an object is expressed in terms of its volume and density, the force becomes proportional to the fourth power of the radius, assuming the dRead more
The gravitational force between two objects is influenced by their masses, the distance between them, and the density of the material involved. When the mass of an object is expressed in terms of its volume and density, the force becomes proportional to the fourth power of the radius, assuming the density remains constant.
This relationship indicates that as the radius of an object increases, the gravitational force grows significantly due to the radius being raised to the fourth power. This dependence on radius highlights the impact of size and density in determining the strength of gravitational interactions.
F = G (m x m)/((2 R)²) = G ((4/3 πR³p)²)/(4 R²)
See lessF ∝ R⁴
How was the Rowlatt Act of 1919 perceived in terms of fundamental rights and civil liberties by Indians?
The Rowlatt Act of 1919 was perceived by Indians primarily as: (b) It was considered as severely curtailing the right to personal liberty. Indians viewed the Rowlatt Act as an oppressive law that severely restricted civil liberties, particularly personal freedoms, such as the right to a fair trial aRead more
The Rowlatt Act of 1919 was perceived by Indians primarily as:
(b) It was considered as severely curtailing the right to personal liberty.
Indians viewed the Rowlatt Act as an oppressive law that severely restricted civil liberties, particularly personal freedoms, such as the right to a fair trial and habeas corpus. It allowed for detention without trial, leading to widespread protests and opposition against the act, as it curtailed fundamental rights of individuals.
See lessAnkur, a resident from Rajasthan, decided to install a submersible water pump in his house, capable of extracting groundwater from depths of 250-300 m. This practice of installing similar pumps is becoming increasingly popular across the state. Which of the following will this growing practice MOST LIKELY lead to in the near future?
The rising trend of installing submersible water pumps in Rajasthan, capable of extracting groundwater from depths of 250-300 meters, is likely to result in: (d) water scarcity resulting from excessive utilization. Excessive extraction of groundwater using these pumps may deplete the groundwater resRead more
The rising trend of installing submersible water pumps in Rajasthan, capable of extracting groundwater from depths of 250-300 meters, is likely to result in:
(d) water scarcity resulting from excessive utilization.
Excessive extraction of groundwater using these pumps may deplete the groundwater reservoirs faster than natural recharge, leading to a scarcity of water resources. Over-utilization could cause imbalances in water availability, impacting domestic, agricultural, and other essential uses, potentially leading to a shortage of water in the region.
See lessHow did the last Mughal emperor live the last years of his life?
Bahadur Shah Zafar's Final Years in Exile 1. Exile to Rangoon: Captured by the British after the 1857 rebellion, Zafar was exiled to Rangoon in 1858 along with family members. 2. Impoverished Conditions: Lived in destitution and isolation, enduring hardships and declining health in exile. 3. Loss ofRead more
Bahadur Shah Zafar’s Final Years in Exile
1. Exile to Rangoon: Captured by the British after the 1857 rebellion, Zafar was exiled to Rangoon in 1858 along with family members.
2. Impoverished Conditions: Lived in destitution and isolation, enduring hardships and declining health in exile.
3. Loss of Royal Status: Witnessed the collapse of the Mughal Empire and the loss of his royal status and legacy.
4. Deteriorating Health: Suffered from declining health due to the harsh conditions of exile and advanced age.
5. Passing in Exile: Bahadur Shah Zafar breathed his last on November 7, 1862, in Rangoon, signifying the end of the Mughal dynasty.
Zafar’s final years were marked by suffering, poverty, and solitude, standing in stark contrast to his earlier reign as the Mughal emperor.
See lessWhat is meant by population composition?
Population composition refers to the demographic structure of a population based on age, sex, education, occupation, and other factors. It provides insights into a society's makeup. This data aids policymakers in understanding social needs and forming relevant policies, guiding future developments fRead more
Population composition refers to the demographic structure of a population based on age, sex, education, occupation, and other factors. It provides insights into a society’s makeup. This data aids policymakers in understanding social needs and forming relevant policies, guiding future developments for diverse societal requirements.
See lessWhat are population pyramids? How do they help in understanding about the population of a country?
Population pyramids visually represent a population's age and gender distribution through two side-by-side bar graphs. They help understand a country's population by revealing age demographics, gender ratios, and aiding in predicting future trends. Governments use these to plan social services, educRead more
Population pyramids visually represent a population’s age and gender distribution through two side-by-side bar graphs. They help understand a country’s population by revealing age demographics, gender ratios, and aiding in predicting future trends. Governments use these to plan social services, education, and employment strategies.
See lessWhy does a democratic country need a Constitution?
A Constitution is crucial for a democratic country as it establishes fundamental laws, protects citizens' rights, ensures a balanced distribution of power among government branches, provides stability in governance, enables citizen participation, and serves as a legal framework, adapting to societalRead more
A Constitution is crucial for a democratic country as it establishes fundamental laws, protects citizens’ rights, ensures a balanced distribution of power among government branches, provides stability in governance, enables citizen participation, and serves as a legal framework, adapting to societal changes for fair and just governance.
See lessWhat would happen if there were no restrictions on the power of elected representatives?
Without restrictions, elected representatives might abuse power, leading to corruption, violation of citizens' rights, and lack of accountability. Unchecked authority could result in unilateral decision-making, undermining democracy and causing social unrest, endangering the nation's stability and cRead more
Without restrictions, elected representatives might abuse power, leading to corruption, violation of citizens’ rights, and lack of accountability. Unchecked authority could result in unilateral decision-making, undermining democracy and causing social unrest, endangering the nation’s stability and citizen trust in governance.
See less