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A 5 kg stationary bomb is exploded in th...

A 5 kg stationary bomb is exploded in three parts having mass 1 : 3 : 3 respectively. Parts having same mass move in perpendicular directions with velocity `39 m//s` then the velocity of the bigger part will be :

A

`10 sqrt2 m//s`

B

`10/sqrt2 m//s`

C

`13 sqrt2 m//s`

D

`15/sqrt2 m//s`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • A 1 kg stationary bomb is exploded in three parts having mass 1 : 1 : 3 respectively. Parts having same mass move in perpendicular direction with velocity 30 ms^(–1) , then the velocity of bigger part will be : -

    A
    `10sqrt2 ms^(-1)`
    B
    `10/sqrt2ms^(-1)`
    C
    `15sqrt2ms^(-1)`
    D
    `15/sqrt2ms^(-1)`
  • A 5 kg stationary bomb explodes in three parts having mass 1:1:3 respectively. Parts having same mass move in perpendicular directions with velocities 30 m/s and 30 m/s. The velocity of the bigger part will be

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    `10sqrt(2)m//s`
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  • A body at rest breaks up into 3 parts. If 2 parts having equal masses fly off perpendicularly each after with a velocity of 12 m//s when the velocity of the third part which has 3 times mass of each part is

    A
    `4 sqrt(2) m//s` at an angle of `45^(@)` from each body
    B
    `24 sqrt(2) m//s` at an angle of `135^(@)` from each body
    C
    `4 sqrt(2) m//s` at `90^(@)` from each body
    D
    `4sqrt(2)m//s` at `135^(@)` from each body
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