External economies refer to benefits that firms experience due to the growth of the industry or sector, even without increasing their own individual production. In the case of a perfectly competitive market, when demand increases, firms in the market will initially respond by producing more, and the price of the product will likely rise in the short term. However, in the long run, the entry of new firms into the market (due to the absence of barriers to entry) will increase the total supply of the product. This increased competition causes the price to fall back to the original equilibrium price, assuming that the market reaches a new equilibrium with more firms. The quantity, however, will continue to increase as new firms enter the market and increase the total quantity supplied. Step 1: Analyze the short-term impact.
In the short term, the demand increase raises the price and encourages more production, but in the long run, the market adjusts as new firms enter. Step 2: Long-term equilibrium.
In the long run, with increased competition and the entry of new firms, the price falls back to the initial level. The quantity, however, will continue to increase due to the higher number of firms producing the good. Thus, the correct answer is (C), which indicates that in the long run, the price falls back to the original level while quantity increases.
Final Answer:falls below the initial price (before the demand increase) and quantity increases}
Two players \( A \) and \( B \) are playing a game. Player \( A \) has two available actions \( a_1 \) and \( a_2 \). Player \( B \) has two available actions \( b_1 \) and \( b_2 \). The payoff matrix arising from their actions is presented below:

Let \( p \) be the probability that player \( A \) plays action \( a_1 \) in the mixed strategy Nash equilibrium of the game.
Then the value of p is (round off to one decimal place).
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the 1st round, the 4th student behind P leaves the game.
After the 2nd round, the 5th student behind Q leaves the game.
After the 3rd round, the 3rd student behind V leaves the game.
After the 4th round, the 4th student behind U leaves the game.
Who all are left in the game after the 4th round?

Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Abuse \( \rightarrow \) Insult \( \rightarrow \) Ridicule
__________ \( \rightarrow \) Praise \( \rightarrow \) Appreciate
The 12 musical notes are given as \( C, C^\#, D, D^\#, E, F, F^\#, G, G^\#, A, A^\#, B \). Frequency of each note is \( \sqrt[12]{2} \) times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes F# and C is: