Acceleration Due to Gravity of the Earth
PHXI08:GRAVITATION

359615 The acceleration due to gravity near the surface of a planet of radius \(R\) and density \(\rho\) is proportional to

1 \(\dfrac{\rho}{R^{2}}\)
2 \(\rho R^{2}\)
3 \(\rho R\)
4 \(\dfrac{\rho}{R}\)
PHXI08:GRAVITATION

359616 Assertion :
The value of acceleration due to gravity does not depend upon mass of the body.
Reason :
Acceleration due to gravity is a constant quantity.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359617 Suppose that the acceleration of free fall at the surface of a distant planet were found to be equal to that at the surface of the earth. If the diameter of the planet were twice the diameter of earth then the ratio of mean density of the planet to that of the earth would be

1 \(4: 1\)
2 \(2: 1\)
3 \(1: 1\)
4 \(1: 2\)
PHXI08:GRAVITATION

359618 The acceleration due to gravity on the surface of earth is \(g\). If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

1 \(\dfrac{g}{2}\)
2 \(4\,\,g\)
3 \(2\,\,g\)
4 \(\dfrac{g}{4}\)
PHXI08:GRAVITATION

359615 The acceleration due to gravity near the surface of a planet of radius \(R\) and density \(\rho\) is proportional to

1 \(\dfrac{\rho}{R^{2}}\)
2 \(\rho R^{2}\)
3 \(\rho R\)
4 \(\dfrac{\rho}{R}\)
PHXI08:GRAVITATION

359616 Assertion :
The value of acceleration due to gravity does not depend upon mass of the body.
Reason :
Acceleration due to gravity is a constant quantity.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359617 Suppose that the acceleration of free fall at the surface of a distant planet were found to be equal to that at the surface of the earth. If the diameter of the planet were twice the diameter of earth then the ratio of mean density of the planet to that of the earth would be

1 \(4: 1\)
2 \(2: 1\)
3 \(1: 1\)
4 \(1: 2\)
PHXI08:GRAVITATION

359618 The acceleration due to gravity on the surface of earth is \(g\). If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

1 \(\dfrac{g}{2}\)
2 \(4\,\,g\)
3 \(2\,\,g\)
4 \(\dfrac{g}{4}\)
PHXI08:GRAVITATION

359615 The acceleration due to gravity near the surface of a planet of radius \(R\) and density \(\rho\) is proportional to

1 \(\dfrac{\rho}{R^{2}}\)
2 \(\rho R^{2}\)
3 \(\rho R\)
4 \(\dfrac{\rho}{R}\)
PHXI08:GRAVITATION

359616 Assertion :
The value of acceleration due to gravity does not depend upon mass of the body.
Reason :
Acceleration due to gravity is a constant quantity.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359617 Suppose that the acceleration of free fall at the surface of a distant planet were found to be equal to that at the surface of the earth. If the diameter of the planet were twice the diameter of earth then the ratio of mean density of the planet to that of the earth would be

1 \(4: 1\)
2 \(2: 1\)
3 \(1: 1\)
4 \(1: 2\)
PHXI08:GRAVITATION

359618 The acceleration due to gravity on the surface of earth is \(g\). If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

1 \(\dfrac{g}{2}\)
2 \(4\,\,g\)
3 \(2\,\,g\)
4 \(\dfrac{g}{4}\)
PHXI08:GRAVITATION

359615 The acceleration due to gravity near the surface of a planet of radius \(R\) and density \(\rho\) is proportional to

1 \(\dfrac{\rho}{R^{2}}\)
2 \(\rho R^{2}\)
3 \(\rho R\)
4 \(\dfrac{\rho}{R}\)
PHXI08:GRAVITATION

359616 Assertion :
The value of acceleration due to gravity does not depend upon mass of the body.
Reason :
Acceleration due to gravity is a constant quantity.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359617 Suppose that the acceleration of free fall at the surface of a distant planet were found to be equal to that at the surface of the earth. If the diameter of the planet were twice the diameter of earth then the ratio of mean density of the planet to that of the earth would be

1 \(4: 1\)
2 \(2: 1\)
3 \(1: 1\)
4 \(1: 2\)
PHXI08:GRAVITATION

359618 The acceleration due to gravity on the surface of earth is \(g\). If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

1 \(\dfrac{g}{2}\)
2 \(4\,\,g\)
3 \(2\,\,g\)
4 \(\dfrac{g}{4}\)