${m}_{1}={m}\quad\quad \quad {m}_{2}={m}\quad \quad \quad \quad {m}_{3}={m}$
${T}_{1}=10^{\circ} {C}\quad \quad {T}_{2}=20^{\circ} {C}\quad \quad {T}_{3}=30^{\circ} {C}$
${s}_{1}\quad \quad \quad \quad \quad \quad {s}_{2}\quad \quad \quad \quad \quad \quad \quad {s}_{3}$
when ${x} \;and\; {y}$ are mixed, ${T}_{{f}_{{l}}}=16^{\circ} {C}$
${m}_{1} {S}_{1} {T}+{m}_{2} {s}_{2} {T}_{2}=\left({m}_{1} {S}_{1}+{m}_{2} {S}_{2}\right) {Tf}_{1}$
${s}_{1} \times 10+{s}_{2} \times 20=\left({s}_{1}+{s}_{2}\right) \times 16$
${s}_{1}=\frac{2}{3} {s}_{2}$
When $y \;and\; z$ are mixex, $T_{f_{2}}=26^{\circ} {C}$
${m}_{2} {s}_{2} {T}+{m}_{3} {s}_{3} {T}_{3}=\left({m}_{3} {s}_{3}+{m}_{3} {s}_{3}\right) {T} {f}_{2}$
${s}_{2} \times 20+{s}_{3} \times 30=\left({s}_{2}+{s}_{3}\right) \times 26$
${s}_{3}=\frac{3}{2} {s}_{2} \quad \ldots . . \text { (ii) }$
when $x \;and\; z$ are mixex
${m}_{1} {s}_{1} {T}_{1}+{m}_{3} {S}_{3} {T}_{3}=\left({m}_{1} {s}_{1}+{m}_{3} {S}_{3}\right) {Tf}$
$\frac{2}{3} {s}_{2} \times 10+\frac{2}{3} {s}_{2} \times 20=\left(\frac{2}{3} {s}_{2}+\frac{3}{2} {s}_{2}\right) {T}_{{f}}$
${T}_{{f}}=23.84^{\circ} {C}$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
| Column $-I$ | Column $-II$ |
| $(A)$ Kinetic energy | $(p)$ $ - \frac{{G{M_E}m}}{{2r}}$ |
| $(B)$ Potential energy | $(q)$ $\sqrt {\frac{{G{M_E}}}{r}} $ |
| $(C)$ Total energy | $(r)$ $ - \frac{{G{M_E}m}}{{r}}$ |
| $(D)$ Orbital energy | $(s)$ $ \frac{{G{M_E}m}}{{2r}}$ |
(where $M_E$ is the mass of the earth, $m$ is mass of the satellite and $r$ is the radius of the orbit)