You visited us 2 times! Enjoying our articles? Unlock Full Access!

Density

In making an ...

Question

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 $m_{2}$ ; then the specific gravity of the alloy is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C

$s p e c i f i c g r a v i t y o f a l l o y = \frac{D e n s i t y o f a l l o y}{D e n s i t y o f w a t e r} = \frac{M a s s o f a l l o y}{V o l u m e o f a l l o y \times d e n s i t y o f w a t e r} = \frac{m_{1} + m_{2}}{(\frac{m_{1}}{p_{1}} + \frac{m_{2}}{p_{2}}) \times p_{w}} = \frac{m_{1} + m_{2}}{\frac{m_{1}}{\frac{p_{1}}{p_{w}}} + \frac{m_{2}}{\frac{p_{2}}{p_{w}}}} = \frac{m_{1} + m_{2}}{\frac{m_{1}}{s_{1}} + \frac{m_{2}}{s_{2}}} [A s s p e c i f i c g r a v i t y o f s u b s t a n c e = \frac{d e n s i t y o f s u b s t a n c e}{d e n s i t y o f w a t e r}]$

Suggest Corrections

Similar questions

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 $m_{2}$ ; then the specific gravity of the alloy is

Q. If

M_{1}

gm of a substance with specific gravity

S_{1}

is mixed with

M_{2}

gm of a substance with specific gravity

S_{2}

and then the substances are used to make an alloy. What will be the specific gravity of the alloy.

Q. A substance of mass

m_{1}

with specific heat capacity

s_{1}

and initial temperature

θ_{1}

is mixed with another substance of mass

m_{2}

, specific heat capacity

s_{2}

and initial temperature

θ_{2}

respectively. Then, their equilibrium temperature is ........(take

θ_{1} > θ_{2}

)

Q. Three liquids with masses

m_{1}

m_{2}

m_{3}

are thoroughly mixed. If there specific heats are

s_{1}

s_{2}

s_{3}

and their temperatures

θ_{1}

θ_{2}

θ_{3}

, respectively, then the temperature of the mixture is

Q. Mass and specific heat of liquids A, B and C are shown. If the three mixed, find the resultant specific heat(s) of the mixture.

Liquid	Mass	Specific heat
A	$m_{1}$	$s_{1}$
B	$m_{2}$	$s_{2}$
C	$m_{3}$	$s_{3}$

Join BYJU'S Learning Program

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

The correct option is C specific gravity of alloy=Density of alloyDensity of water=Mass of alloyVolume of alloy×densityof water=m1+m2(m1p1+m2p2)×pw=m1+m2m1p1pw+m2p2pw=m1+m2m1s1+m2s2[As specific gravity of substance=density of substancedensity of water]

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 $m_{2}$ ; then the specific gravity of the alloy is