A metal ball of mass \(0.1 kg\) is heated upto \(500^{\circ} C\) and dropped into a vessel of heat capacity \(800 JK ^{-…

A metal ball of mass \(0.1 kg\) is heated upto \(500^{\circ} C\) and dropped into a vessel of heat capacity \(800 JK ^{-1}\) and containing \(0.5 kg\) water. The initial temperature of water and vessel is \(30^{\circ} C\). What is the approximate percentage increment in the temperature of the water? [Specific heat Capacitites of water and metal are, respectively \(4200 Jkg ^{-1} K ^{-1}\) and \(400 Jkg ^{-1} K ^{-1}\) ]