In an insulated vessel, 0.05 kg steam at 373 K and 0.45 kg of ice at 253 K are mixed. Then, find the final temperature of the mixture.
In hydrogen-like atom $(z=11)$, $n$th line of Lyman series has wavelength A equal to the de Broglie's wavelength of electron in the level from which it originated. What is the value of $n$ ?
A circular disc with a groove along its diameter is placed horizontally. A block of mass 1 kg is placed as shown. The coefficient of friction between the block and all surfaces of groove in contact is $\mu=\frac{2}{5}$. The disc has an acceleration of $25 \mathrm{~m} / \mathrm{s}^2$. Find the acceleration of the block with respect to disc.
Heat given to the processes is positive. Match Column I with Column II:
| Column I | Column II | ||
|---|---|---|---|
| (A) | JK | (P) | $$ \Delta W>0 $$ |
| (B) | KL | (Q) | $$ \Delta \mathrm{Q}<0 $$ |
| (C) | LM | (R) | $$ \Delta \mathrm{W}<0 $$ |
| (D) | MJ | (S) | $$ \Delta Q>0 $$ |
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