Centre of Mass
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365784 Two persons of masses \(55\,kg\) and \(65\,kg\) respectively, are at the opposite ends of a boat. The length of the boat is \(3\;m\) and weight \(100\,kg\). The \(55\;kg\) man walks upto the \(65\;kg\) man and sits with him. If the boat is in still water the centre of mass of the system shifts by

1 \(3\;m\)
2 \(2.3\;m\)
3 \(Zero\)
4 \(0.75\;m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365785 Statement A :
The position of centre of mass does not depend upon the reference frame.
Statement B :
Centre of mass depends only upon the rest mass of the body.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365786 Statement A :
If there are no external forces, the centre of mass of a double star moves like a free particle.
Statement B :
In case of rotating binary star system the two stars rotate about common centre of mass..

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365787 Assertion :
Acceleration due to gravity is zero at the centre of earth.
Reason :
At the centre of earth, a body has centre of mass, but no centre of gravity.

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.
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365784 Two persons of masses \(55\,kg\) and \(65\,kg\) respectively, are at the opposite ends of a boat. The length of the boat is \(3\;m\) and weight \(100\,kg\). The \(55\;kg\) man walks upto the \(65\;kg\) man and sits with him. If the boat is in still water the centre of mass of the system shifts by

1 \(3\;m\)
2 \(2.3\;m\)
3 \(Zero\)
4 \(0.75\;m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365785 Statement A :
The position of centre of mass does not depend upon the reference frame.
Statement B :
Centre of mass depends only upon the rest mass of the body.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365786 Statement A :
If there are no external forces, the centre of mass of a double star moves like a free particle.
Statement B :
In case of rotating binary star system the two stars rotate about common centre of mass..

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365787 Assertion :
Acceleration due to gravity is zero at the centre of earth.
Reason :
At the centre of earth, a body has centre of mass, but no centre of gravity.

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.
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365784 Two persons of masses \(55\,kg\) and \(65\,kg\) respectively, are at the opposite ends of a boat. The length of the boat is \(3\;m\) and weight \(100\,kg\). The \(55\;kg\) man walks upto the \(65\;kg\) man and sits with him. If the boat is in still water the centre of mass of the system shifts by

1 \(3\;m\)
2 \(2.3\;m\)
3 \(Zero\)
4 \(0.75\;m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365785 Statement A :
The position of centre of mass does not depend upon the reference frame.
Statement B :
Centre of mass depends only upon the rest mass of the body.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365786 Statement A :
If there are no external forces, the centre of mass of a double star moves like a free particle.
Statement B :
In case of rotating binary star system the two stars rotate about common centre of mass..

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365787 Assertion :
Acceleration due to gravity is zero at the centre of earth.
Reason :
At the centre of earth, a body has centre of mass, but no centre of gravity.

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.
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365784 Two persons of masses \(55\,kg\) and \(65\,kg\) respectively, are at the opposite ends of a boat. The length of the boat is \(3\;m\) and weight \(100\,kg\). The \(55\;kg\) man walks upto the \(65\;kg\) man and sits with him. If the boat is in still water the centre of mass of the system shifts by

1 \(3\;m\)
2 \(2.3\;m\)
3 \(Zero\)
4 \(0.75\;m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365785 Statement A :
The position of centre of mass does not depend upon the reference frame.
Statement B :
Centre of mass depends only upon the rest mass of the body.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365786 Statement A :
If there are no external forces, the centre of mass of a double star moves like a free particle.
Statement B :
In case of rotating binary star system the two stars rotate about common centre of mass..

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365787 Assertion :
Acceleration due to gravity is zero at the centre of earth.
Reason :
At the centre of earth, a body has centre of mass, but no centre of gravity.

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.