Two bodies have the same heat capacity. If they are combined to form a single composite body, then the equivalent specific heat of this composite body is

\frac{s_{1} s_{2}}{s_{2} + s_{1}}

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

\frac{2 s_{1} s_{2}}{s_{2} + s_{1}}

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

\frac{s_{1} + s_{2}}{s_{2} s_{1}}

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

\frac{s_{1} + s_{2}}{2 s_{2} s_{1}}

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

Open in App

Solution

The correct option is B $\frac{2 s_{1} s_{2}}{s_{2} + s_{1}}$
Let the two bodies have masses $m_{1}$ , $m_{2}$ and specific heats $s_{1}$ and $s_{2}$ . Then
$m_{1} s_{1} = m_{2} s_{2}$ or $\frac{m_{1}}{m_{2}} = \frac{s_{2}}{s_{1}}$
Let $s =$ specific heat of the composite body.
Then $(m_{1} + m_{2}) s = m_{1} s_{1} + m_{2} s_{2} = 2 m_{1} s_{1}$
$s = \frac{2 m_{1} s_{1}}{m_{1} + m_{2}} = \frac{2 m_{1} s_{1}}{m_{1} + m_{1} (\frac{s_{1}}{s_{2}})} = \frac{2 s_{1} s_{2}}{s_{2} + s_{1}}$

Suggest Corrections

Similar questions

A lighter body and heavier body both are moving with same momentum and are being applied the same retarding force.Their stopping distances and stopping times are $S_{1}, S_{2} a n d t_{1}, t_{2}$ respectively.Then,

Q. Let A, B, C be three mutually independent events. Consider the two statements

S_{1}

and

S_{2}

S_{1}

: A and

B \cup C

are independent

S_{2}

: A and

B \cap C

are independent Then,

Q. The quantities of heat required to raise the temperature of two metallic spheres of same mass having specific heat capacity

S_{1}

and

S_{2} (3 S_{1} = 4 S_{2})

through

1 K

are in the ratio:

If $S_{1}$ = $^{n} C_{0}$ + $^{n} C_{1}$ + $^{n} C_{2}$ .................. $^{n} C_{n}$ and $S_{2}$ = $^{n} C_{0}$ - $^{n} C_{1}$ + $^{n} C_{2}$ .................... $^{n} C_{n}$

Find $^{n} C_{1}$ + $^{n} C_{3}$ + $^{n} C_{5}$ ..............

Suppose the union of sets S1 and S2 is X and S1, S2 have the same number of elements. If elements S1, S2 are chosen randomly it was found that by exchanging two elements of S1 with two elements of S2, every element of S1 was greater than that of S2. Find the no. of sets S1 that can be formed.

Join BYJU'S Learning Program

Two bodies have the same heat capacity. If they are combined to form a single composite body, then the equivalent specific heat of this composite body is

The correct option is B 2s1s2s2+s1Let the two bodies have masses m1, m2 and specific heats s1 and s2. Thenm1s1=m2s2 or m1m2=s2s1Let s= specific heat of the composite body.Then (m1+m2)s=m1s1+m2s2=2m1s1s=2m1s1m1+m2=2m1s1m1+m1(s1s2)=2s1s2s2+s1