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Three liquids A, B and C having same specific heat and mass m, 2m and 3m have temperature $20^{0} C, 40^{0} C and 60^{0} C$ respectively. Temperature of the mixture when
Column-I Column-II
i. A and B are mixed p. $35^{0} C$
ii. A and C are mixed q. $52^{0} C$
iii. B and C are mixed r. $50^{0} C$
iv. A, B and C all three are mixed s. $45^{0} C$
t. None

Now, match the given columns and select the correct option from the codes given below.
Codes

see full answer

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i-t, ii-s, iii-q, iv-r

i-t, ii-r, iii-q, iv-t

i-q, ii-r, iii-s, iv-t

i-p, ii-q, iii-r, iv-s

answer is B.

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Detailed Solution

When A and B are mixed

ms(T-20) = (2m) s (40-T) $\Rightarrow T = 33 . 3^{0} C$

When A and C are mixed

ms(T-20) = (3m) s(60-T) $\Rightarrow T = 50^{0} C$

When B and C are mixed

$(2 m) s (T - 40) = (3 m) s (60 - T) \Rightarrow T = 52^{0} C$

When A, B and C are mixed

ms(T-20) + (2m)s(T-40) = (3m)s(60-T)

$\Rightarrow T = 46 . 67^{0} C$

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