1.

Threebodiesof the samematerialand havingmassesm,mand3mare attemperature40^@ C , 50^@Cand60^@ Crespectively. Ifthebodiesare broughtin thermalcontactthe finaltemperaturewill be

Answer»

`45^@ `C
`54^@ C `
`52^@ C `
`48^@ C`

Solution :here`m_1=m_2-=m,m_2 = m m_3= 3m`
`s_1 =s_2= S_3= s,T_1= 40^@C,T_2= 50 ^@c, T_3=60^@ C `
LetT bethe finaltemperatureat the thermalequilibriumusingprnicipleof caloriemetry
Heathainedby `m_1and m_2`= heatlost byby `m_3 `
`m_1 s_1(T -T_1)+m_2 s_2(T-T_2)=m_3s_3(T_3 -T )`
`ms(t-40 )+ ms(T- 50 )= 3 ms( 60 - T)`
`t- 40+T- 50 = 3 (60 -T ) or2T- 90= 180- 3T `
5T = 270` thereforeT= 54 ^@C `


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