In a perfectly inelastic collision, two spheres made of the same material with masses $15 \ kg$ and $25 \ kg$, moving in opposite directions with speeds of $10 \ m/s$ and $30 \ m/s$, respectively, strike each other and stick together. The rise in temperature (in $^{\circ}C$), if all the heat produced during the collision is retained by these spheres, is: (specific heat of sphere material $31 \ cal/kg \cdot ^{\circ}C$ and $1 \ cal = 4.2 \ J$)

  • A
    $1.75$
  • B
    $1.44$
  • C
    $1.15$
  • D
    $1.95$

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