Acceleration Due to Gravity of the Earth
PHXI08:GRAVITATION

359640 If the rotational speed of earth is increased, then weight of a body at the equator

1 increases
2 decreases
3 becomes double
4 does not change
PHXI08:GRAVITATION

359641 If earth is supposed to be a sphere of radius \(R\), if \(g_{30}\) is value of acceleration due to gravity at latitude of \(30^{\circ}\) and \(g\) at the equator, the value of \(g-g_{30^{\circ}}\) is

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

359642 As we go from the equator to the poles, the value of effective acceleration due to gravity

1 Decreases
2 Remains the same
3 Decreases upto latitude of \(45^{\circ}\)
4 Increases
PHXI08:GRAVITATION

359643 Assertion :
The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth.
Reason :
The value of acceleration due to gravity is minimum at the equator and maximum at the pole.

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

359644 A star 2.5 times the mass of the sun and collasped to a size of 12 \(km\) rotates with a speed of 1.2 \(rev/s\). (Exteremely compact stars of this kind are known as neutron stars. Certain observed steller objects called pullsars are belived to belong to this category). Will an object placed on its equator remain stuck to its surface due to gravity? (Mass of the sun \( = 2 \times {10^{30}}\;kg\)).

1 No
2 Yes
3 Can not be said
4 Sometimes yes and Sometimes no
PHXI08:GRAVITATION

359640 If the rotational speed of earth is increased, then weight of a body at the equator

1 increases
2 decreases
3 becomes double
4 does not change
PHXI08:GRAVITATION

359641 If earth is supposed to be a sphere of radius \(R\), if \(g_{30}\) is value of acceleration due to gravity at latitude of \(30^{\circ}\) and \(g\) at the equator, the value of \(g-g_{30^{\circ}}\) is

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

359642 As we go from the equator to the poles, the value of effective acceleration due to gravity

1 Decreases
2 Remains the same
3 Decreases upto latitude of \(45^{\circ}\)
4 Increases
PHXI08:GRAVITATION

359643 Assertion :
The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth.
Reason :
The value of acceleration due to gravity is minimum at the equator and maximum at the pole.

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

359644 A star 2.5 times the mass of the sun and collasped to a size of 12 \(km\) rotates with a speed of 1.2 \(rev/s\). (Exteremely compact stars of this kind are known as neutron stars. Certain observed steller objects called pullsars are belived to belong to this category). Will an object placed on its equator remain stuck to its surface due to gravity? (Mass of the sun \( = 2 \times {10^{30}}\;kg\)).

1 No
2 Yes
3 Can not be said
4 Sometimes yes and Sometimes no
PHXI08:GRAVITATION

359640 If the rotational speed of earth is increased, then weight of a body at the equator

1 increases
2 decreases
3 becomes double
4 does not change
PHXI08:GRAVITATION

359641 If earth is supposed to be a sphere of radius \(R\), if \(g_{30}\) is value of acceleration due to gravity at latitude of \(30^{\circ}\) and \(g\) at the equator, the value of \(g-g_{30^{\circ}}\) is

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

359642 As we go from the equator to the poles, the value of effective acceleration due to gravity

1 Decreases
2 Remains the same
3 Decreases upto latitude of \(45^{\circ}\)
4 Increases
PHXI08:GRAVITATION

359643 Assertion :
The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth.
Reason :
The value of acceleration due to gravity is minimum at the equator and maximum at the pole.

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

359644 A star 2.5 times the mass of the sun and collasped to a size of 12 \(km\) rotates with a speed of 1.2 \(rev/s\). (Exteremely compact stars of this kind are known as neutron stars. Certain observed steller objects called pullsars are belived to belong to this category). Will an object placed on its equator remain stuck to its surface due to gravity? (Mass of the sun \( = 2 \times {10^{30}}\;kg\)).

1 No
2 Yes
3 Can not be said
4 Sometimes yes and Sometimes no
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PHXI08:GRAVITATION

359640 If the rotational speed of earth is increased, then weight of a body at the equator

1 increases
2 decreases
3 becomes double
4 does not change
PHXI08:GRAVITATION

359641 If earth is supposed to be a sphere of radius \(R\), if \(g_{30}\) is value of acceleration due to gravity at latitude of \(30^{\circ}\) and \(g\) at the equator, the value of \(g-g_{30^{\circ}}\) is

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

359642 As we go from the equator to the poles, the value of effective acceleration due to gravity

1 Decreases
2 Remains the same
3 Decreases upto latitude of \(45^{\circ}\)
4 Increases
PHXI08:GRAVITATION

359643 Assertion :
The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth.
Reason :
The value of acceleration due to gravity is minimum at the equator and maximum at the pole.

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

359644 A star 2.5 times the mass of the sun and collasped to a size of 12 \(km\) rotates with a speed of 1.2 \(rev/s\). (Exteremely compact stars of this kind are known as neutron stars. Certain observed steller objects called pullsars are belived to belong to this category). Will an object placed on its equator remain stuck to its surface due to gravity? (Mass of the sun \( = 2 \times {10^{30}}\;kg\)).

1 No
2 Yes
3 Can not be said
4 Sometimes yes and Sometimes no
PHXI08:GRAVITATION

359640 If the rotational speed of earth is increased, then weight of a body at the equator

1 increases
2 decreases
3 becomes double
4 does not change
PHXI08:GRAVITATION

359641 If earth is supposed to be a sphere of radius \(R\), if \(g_{30}\) is value of acceleration due to gravity at latitude of \(30^{\circ}\) and \(g\) at the equator, the value of \(g-g_{30^{\circ}}\) is

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

359642 As we go from the equator to the poles, the value of effective acceleration due to gravity

1 Decreases
2 Remains the same
3 Decreases upto latitude of \(45^{\circ}\)
4 Increases
PHXI08:GRAVITATION

359643 Assertion :
The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth.
Reason :
The value of acceleration due to gravity is minimum at the equator and maximum at the pole.

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

359644 A star 2.5 times the mass of the sun and collasped to a size of 12 \(km\) rotates with a speed of 1.2 \(rev/s\). (Exteremely compact stars of this kind are known as neutron stars. Certain observed steller objects called pullsars are belived to belong to this category). Will an object placed on its equator remain stuck to its surface due to gravity? (Mass of the sun \( = 2 \times {10^{30}}\;kg\)).

1 No
2 Yes
3 Can not be said
4 Sometimes yes and Sometimes no