Explosion of Bodies
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365815 A bomb of mass ' \(m\) ' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the \(x\)-axis at \(x = 40\;cm\) and another is at \(x = 20\;\,cm,{\rm{ }}y = - 60\;\,cm\). The position of the third piece is

1 \(x = 60\;cm,y = 60\;cm\)
2 \(x = - 60\;cm,y = - 60\;cm\)
3 \(x = - 60\;cm,y = 60\;cm\)
4 \(x = 60\;cm,y = - 60\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365816 A projectile is fired at an angle and it was following a parabolic path. Suddenly, it explodes into fragments. Choose the correct statement regarding this situation.
supporting img

1 Due to explosion CM shifts downwards.
2 Due to explosion CM shifts upwards.
3 Due to explosion CM traces its path back to origin.
4 CM continues to move along same parabolic path.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365817 A stationary particle explodes into two particles of a masses \(m_{1}\) and \(m_{2}\) which move in opposite directions with velocities \(v_{1}\) and \(v_{2}\). The ratio of their kinetic energies \(E_{1} / E_{2}\) is

1 \(m_{1} / m_{2}\)
2 1
3 \(m_{1} v_{2} / m_{2} v_{1}\)
4 \(m_{2} / m_{1}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365818 A shell of mass \(m\) which is at rest initially. It explodes into three fragments having masses in the ratio \(2: 2: 1\). If the fragments having equal masses fly off along mutually perpendicualr directions with speed \(v\), the speed of the third (lighter) fragment is

1 \(\sqrt 2 v\)
2 \(2\sqrt 2 v\)
3 \(3\sqrt 2 v\)
4 \(v\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365819 Assertion :
Explosion occurs under internal forces only. External force is zero.
Reason :
When a body is dropped from a height explodes in mid air, but its centre of mass keeps moving in vertically downward direction.

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.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365815 A bomb of mass ' \(m\) ' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the \(x\)-axis at \(x = 40\;cm\) and another is at \(x = 20\;\,cm,{\rm{ }}y = - 60\;\,cm\). The position of the third piece is

1 \(x = 60\;cm,y = 60\;cm\)
2 \(x = - 60\;cm,y = - 60\;cm\)
3 \(x = - 60\;cm,y = 60\;cm\)
4 \(x = 60\;cm,y = - 60\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365816 A projectile is fired at an angle and it was following a parabolic path. Suddenly, it explodes into fragments. Choose the correct statement regarding this situation.
supporting img

1 Due to explosion CM shifts downwards.
2 Due to explosion CM shifts upwards.
3 Due to explosion CM traces its path back to origin.
4 CM continues to move along same parabolic path.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365817 A stationary particle explodes into two particles of a masses \(m_{1}\) and \(m_{2}\) which move in opposite directions with velocities \(v_{1}\) and \(v_{2}\). The ratio of their kinetic energies \(E_{1} / E_{2}\) is

1 \(m_{1} / m_{2}\)
2 1
3 \(m_{1} v_{2} / m_{2} v_{1}\)
4 \(m_{2} / m_{1}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365818 A shell of mass \(m\) which is at rest initially. It explodes into three fragments having masses in the ratio \(2: 2: 1\). If the fragments having equal masses fly off along mutually perpendicualr directions with speed \(v\), the speed of the third (lighter) fragment is

1 \(\sqrt 2 v\)
2 \(2\sqrt 2 v\)
3 \(3\sqrt 2 v\)
4 \(v\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365819 Assertion :
Explosion occurs under internal forces only. External force is zero.
Reason :
When a body is dropped from a height explodes in mid air, but its centre of mass keeps moving in vertically downward direction.

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.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365815 A bomb of mass ' \(m\) ' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the \(x\)-axis at \(x = 40\;cm\) and another is at \(x = 20\;\,cm,{\rm{ }}y = - 60\;\,cm\). The position of the third piece is

1 \(x = 60\;cm,y = 60\;cm\)
2 \(x = - 60\;cm,y = - 60\;cm\)
3 \(x = - 60\;cm,y = 60\;cm\)
4 \(x = 60\;cm,y = - 60\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365816 A projectile is fired at an angle and it was following a parabolic path. Suddenly, it explodes into fragments. Choose the correct statement regarding this situation.
supporting img

1 Due to explosion CM shifts downwards.
2 Due to explosion CM shifts upwards.
3 Due to explosion CM traces its path back to origin.
4 CM continues to move along same parabolic path.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365817 A stationary particle explodes into two particles of a masses \(m_{1}\) and \(m_{2}\) which move in opposite directions with velocities \(v_{1}\) and \(v_{2}\). The ratio of their kinetic energies \(E_{1} / E_{2}\) is

1 \(m_{1} / m_{2}\)
2 1
3 \(m_{1} v_{2} / m_{2} v_{1}\)
4 \(m_{2} / m_{1}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365818 A shell of mass \(m\) which is at rest initially. It explodes into three fragments having masses in the ratio \(2: 2: 1\). If the fragments having equal masses fly off along mutually perpendicualr directions with speed \(v\), the speed of the third (lighter) fragment is

1 \(\sqrt 2 v\)
2 \(2\sqrt 2 v\)
3 \(3\sqrt 2 v\)
4 \(v\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365819 Assertion :
Explosion occurs under internal forces only. External force is zero.
Reason :
When a body is dropped from a height explodes in mid air, but its centre of mass keeps moving in vertically downward direction.

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

365815 A bomb of mass ' \(m\) ' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the \(x\)-axis at \(x = 40\;cm\) and another is at \(x = 20\;\,cm,{\rm{ }}y = - 60\;\,cm\). The position of the third piece is

1 \(x = 60\;cm,y = 60\;cm\)
2 \(x = - 60\;cm,y = - 60\;cm\)
3 \(x = - 60\;cm,y = 60\;cm\)
4 \(x = 60\;cm,y = - 60\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365816 A projectile is fired at an angle and it was following a parabolic path. Suddenly, it explodes into fragments. Choose the correct statement regarding this situation.
supporting img

1 Due to explosion CM shifts downwards.
2 Due to explosion CM shifts upwards.
3 Due to explosion CM traces its path back to origin.
4 CM continues to move along same parabolic path.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365817 A stationary particle explodes into two particles of a masses \(m_{1}\) and \(m_{2}\) which move in opposite directions with velocities \(v_{1}\) and \(v_{2}\). The ratio of their kinetic energies \(E_{1} / E_{2}\) is

1 \(m_{1} / m_{2}\)
2 1
3 \(m_{1} v_{2} / m_{2} v_{1}\)
4 \(m_{2} / m_{1}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365818 A shell of mass \(m\) which is at rest initially. It explodes into three fragments having masses in the ratio \(2: 2: 1\). If the fragments having equal masses fly off along mutually perpendicualr directions with speed \(v\), the speed of the third (lighter) fragment is

1 \(\sqrt 2 v\)
2 \(2\sqrt 2 v\)
3 \(3\sqrt 2 v\)
4 \(v\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365819 Assertion :
Explosion occurs under internal forces only. External force is zero.
Reason :
When a body is dropped from a height explodes in mid air, but its centre of mass keeps moving in vertically downward direction.

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.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365815 A bomb of mass ' \(m\) ' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the \(x\)-axis at \(x = 40\;cm\) and another is at \(x = 20\;\,cm,{\rm{ }}y = - 60\;\,cm\). The position of the third piece is

1 \(x = 60\;cm,y = 60\;cm\)
2 \(x = - 60\;cm,y = - 60\;cm\)
3 \(x = - 60\;cm,y = 60\;cm\)
4 \(x = 60\;cm,y = - 60\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365816 A projectile is fired at an angle and it was following a parabolic path. Suddenly, it explodes into fragments. Choose the correct statement regarding this situation.
supporting img

1 Due to explosion CM shifts downwards.
2 Due to explosion CM shifts upwards.
3 Due to explosion CM traces its path back to origin.
4 CM continues to move along same parabolic path.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365817 A stationary particle explodes into two particles of a masses \(m_{1}\) and \(m_{2}\) which move in opposite directions with velocities \(v_{1}\) and \(v_{2}\). The ratio of their kinetic energies \(E_{1} / E_{2}\) is

1 \(m_{1} / m_{2}\)
2 1
3 \(m_{1} v_{2} / m_{2} v_{1}\)
4 \(m_{2} / m_{1}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365818 A shell of mass \(m\) which is at rest initially. It explodes into three fragments having masses in the ratio \(2: 2: 1\). If the fragments having equal masses fly off along mutually perpendicualr directions with speed \(v\), the speed of the third (lighter) fragment is

1 \(\sqrt 2 v\)
2 \(2\sqrt 2 v\)
3 \(3\sqrt 2 v\)
4 \(v\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365819 Assertion :
Explosion occurs under internal forces only. External force is zero.
Reason :
When a body is dropped from a height explodes in mid air, but its centre of mass keeps moving in vertically downward direction.

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.