Explosion of Bodies
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365820 A stationary body explodes into four identical fragments such that three of them fly off mutually perpendicular to each other, each with same \(K.E\). The minimum energy of explosion will be:

1 \(6 E_{0}\)
2 \(8 E_{0}\)
3 \(4 E_{0}\)
4 \(\dfrac{4 E_{0}}{3}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365821 An isolated particle of mass m is moving in a horizontal (x-y) plane along the x-axis, at a certain height above the ground. It suddenly explodes into two fragements of masses \(\frac{m}{4}\& \frac{{3m}}{4}.\) An instant later, the smaller fragment is at y = +15 cm. The larger fragment at this instant is at (Assume g =0)

1 \(y = - 20cm\)
2 \(y = - 5cm\)
3 \(y = + 5cm\)
4 \(y = + 20cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365822 A stationary body explodes into two fragments of masses \(m_{1}\) and \(m_{2}\). If momentum of one fragment is \(p\), the minimum energy of explosion is

1 \(\dfrac{p^{2}}{2\left(m_{1}-m_{2}\right)}\)
2 \(\dfrac{p^{2}}{2 \sqrt{m_{1} m_{2}}}\)
3 \(\dfrac{p^{2}\left(m_{1}+m_{2}\right)}{2 m_{1} m_{2}}\)
4 \(\dfrac{p^{2}}{2\left(m_{1}+m_{2}\right)}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365823 Assertion :
The position of centre of mass of a body does not depend upon shape and size of the body.
Reason :
In explosion the linear momentum of the system remains always conserved.

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

365820 A stationary body explodes into four identical fragments such that three of them fly off mutually perpendicular to each other, each with same \(K.E\). The minimum energy of explosion will be:

1 \(6 E_{0}\)
2 \(8 E_{0}\)
3 \(4 E_{0}\)
4 \(\dfrac{4 E_{0}}{3}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365821 An isolated particle of mass m is moving in a horizontal (x-y) plane along the x-axis, at a certain height above the ground. It suddenly explodes into two fragements of masses \(\frac{m}{4}\& \frac{{3m}}{4}.\) An instant later, the smaller fragment is at y = +15 cm. The larger fragment at this instant is at (Assume g =0)

1 \(y = - 20cm\)
2 \(y = - 5cm\)
3 \(y = + 5cm\)
4 \(y = + 20cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365822 A stationary body explodes into two fragments of masses \(m_{1}\) and \(m_{2}\). If momentum of one fragment is \(p\), the minimum energy of explosion is

1 \(\dfrac{p^{2}}{2\left(m_{1}-m_{2}\right)}\)
2 \(\dfrac{p^{2}}{2 \sqrt{m_{1} m_{2}}}\)
3 \(\dfrac{p^{2}\left(m_{1}+m_{2}\right)}{2 m_{1} m_{2}}\)
4 \(\dfrac{p^{2}}{2\left(m_{1}+m_{2}\right)}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365823 Assertion :
The position of centre of mass of a body does not depend upon shape and size of the body.
Reason :
In explosion the linear momentum of the system remains always conserved.

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

365820 A stationary body explodes into four identical fragments such that three of them fly off mutually perpendicular to each other, each with same \(K.E\). The minimum energy of explosion will be:

1 \(6 E_{0}\)
2 \(8 E_{0}\)
3 \(4 E_{0}\)
4 \(\dfrac{4 E_{0}}{3}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365821 An isolated particle of mass m is moving in a horizontal (x-y) plane along the x-axis, at a certain height above the ground. It suddenly explodes into two fragements of masses \(\frac{m}{4}\& \frac{{3m}}{4}.\) An instant later, the smaller fragment is at y = +15 cm. The larger fragment at this instant is at (Assume g =0)

1 \(y = - 20cm\)
2 \(y = - 5cm\)
3 \(y = + 5cm\)
4 \(y = + 20cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365822 A stationary body explodes into two fragments of masses \(m_{1}\) and \(m_{2}\). If momentum of one fragment is \(p\), the minimum energy of explosion is

1 \(\dfrac{p^{2}}{2\left(m_{1}-m_{2}\right)}\)
2 \(\dfrac{p^{2}}{2 \sqrt{m_{1} m_{2}}}\)
3 \(\dfrac{p^{2}\left(m_{1}+m_{2}\right)}{2 m_{1} m_{2}}\)
4 \(\dfrac{p^{2}}{2\left(m_{1}+m_{2}\right)}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365823 Assertion :
The position of centre of mass of a body does not depend upon shape and size of the body.
Reason :
In explosion the linear momentum of the system remains always conserved.

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

365820 A stationary body explodes into four identical fragments such that three of them fly off mutually perpendicular to each other, each with same \(K.E\). The minimum energy of explosion will be:

1 \(6 E_{0}\)
2 \(8 E_{0}\)
3 \(4 E_{0}\)
4 \(\dfrac{4 E_{0}}{3}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365821 An isolated particle of mass m is moving in a horizontal (x-y) plane along the x-axis, at a certain height above the ground. It suddenly explodes into two fragements of masses \(\frac{m}{4}\& \frac{{3m}}{4}.\) An instant later, the smaller fragment is at y = +15 cm. The larger fragment at this instant is at (Assume g =0)

1 \(y = - 20cm\)
2 \(y = - 5cm\)
3 \(y = + 5cm\)
4 \(y = + 20cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365822 A stationary body explodes into two fragments of masses \(m_{1}\) and \(m_{2}\). If momentum of one fragment is \(p\), the minimum energy of explosion is

1 \(\dfrac{p^{2}}{2\left(m_{1}-m_{2}\right)}\)
2 \(\dfrac{p^{2}}{2 \sqrt{m_{1} m_{2}}}\)
3 \(\dfrac{p^{2}\left(m_{1}+m_{2}\right)}{2 m_{1} m_{2}}\)
4 \(\dfrac{p^{2}}{2\left(m_{1}+m_{2}\right)}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365823 Assertion :
The position of centre of mass of a body does not depend upon shape and size of the body.
Reason :
In explosion the linear momentum of the system remains always conserved.

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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