Q.

In making an alloy, a substance of specific gravity s1  and mass m1  is mixed with another substance of specific gravity s2  and mass m2 ; then the specific gravity of the alloy is

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a

m1+m2s1+s2

b

s1s2m1+m2

c

m1+m2m1s1+m2s2

d

m1s1+m2s2m1+m2

answer is C.

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Detailed Solution

Specific gravity of alloy = Density of alloy  Density of water =Mass of alloy Volume of alloy×density of water  =m1+m2m1ρ1+m2ρ2×ρw=m1+m2m1ρ1/ρw+m2ρ2/ρw=m1+m2m1s1+m2s2As specific gravity of substance =density of substance density of water
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In making an alloy, a substance of specific gravity s1  and mass m1  is mixed with another substance of specific gravity s2  and mass m2 ; then the specific gravity of the alloy is