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. The specific gravity of the alloy is

Question

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. The specific gravity of the alloy is (A) (m1+m2/(m1)s1+(m2)s2 (B)  (m1+m2/s1+s2) (C) (s1 s2/m1+m2) (D) ((m1/s1)+(m2/s2)/m1+m2)

Tardigrade Admin · Accepted Answer

V1=(m1/s1 ⋅ ρ H 2 O ), V2=(m2/s2 ⋅ ρ H 2 O ) Sp. gravity of alloy =((m1+m2/V1+V2)) ÷ ρ H 2 C =((m1+m2) ⋅ ρ H 2 O /((m1)s1+(m2)s2) ⋅ ρ H 2 O =(m1+m2/((m1)s1+(m2)s2).

Q. In making an alloy, a substance of specific gravity $s_{1}$ and mass $m_{1}$ is mixed with another substance of specific gravity $s_{2}$ and mass $m_{2}$ . The specific gravity of the alloy is

$\frac{m _{1} + m _{2}}{\frac{m _{1}}{s _{1}} + \frac{m _{2}}{s _{2}}}$

$\frac{m _{1} + m _{2}}{s _{1} + s _{2}}$

$\frac{s _{1} s _{2}}{m _{1} + m _{2}}$

$\frac{\frac{m _{1}}{s _{1}} + \frac{m _{2}}{s _{2}}}{m _{1} + m _{2}}$

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​. The specific gravity of the alloy is

s1​m1​​+s2​m2​​m1​+m2​​

s1​+s2​m1​+m2​​

m1​+m2​s1​s2​​

m1​+m2​s1​m1​​+s2​m2​​​

V1​=s1​⋅ρH2​O​m1​​,V2​=s2​⋅ρH2​O​m2​​ Sp. gravity of alloy =(V1​+V2​m1​+m2​​)÷ρH2​C​ =(s1​m1​​+s2​m2​​)⋅ρH2​O​(m1​+m2​)⋅ρH2​O​​=(s1​m1​​+s2​m2​​)m1​+m2​​.

Q. In making an alloy, a substance of specific gravity $s_{1}$ and mass $m_{1}$ is mixed with another substance of specific gravity $s_{2}$ and mass $m_{2}$ . The specific gravity of the alloy is

$\frac{m _{1} + m _{2}}{\frac{m _{1}}{s _{1}} + \frac{m _{2}}{s _{2}}}$

$\frac{m _{1} + m _{2}}{s _{1} + s _{2}}$

$\frac{s _{1} s _{2}}{m _{1} + m _{2}}$

$\frac{\frac{m _{1}}{s _{1}} + \frac{m _{2}}{s _{2}}}{m _{1} + m _{2}}$