Q1.With the increase in temperature, the frequency of the sound from an organ pipe*1 point(a) Decreases(b) Increases(c) Remain unchanged(d) Changes erratically

Analyzing the Problem

The question relates to the behavior of sound frequency in relation to temperature changes. In an organ pipe, frequency is influenced mainly by the properties of the air within the pipe, which can change with temperature.

Relevant Concepts

1. Speed of Sound: The speed of sound in air increases with temperature. The relationship can be expressed as: $v = 331 + 0.6T$ where $v$ is the speed of sound in meters per second and $T$ is the temperature in degrees Celsius.

2. Frequency and Wavelength: Frequency ($f$) is related to the speed of sound ($v$) and wavelength ($\lambda$) by the formula: $f = \frac{v}{\lambda}$ As temperature increases, the speed of sound $v$ increases, leading to the frequency $f$ increasing if the wavelength remains constant.

Analysis and Detail

1. Behavior of Sound in Organ Pipes: The sound produced by an organ pipe is a result of standing waves formed within it, dependent on both the physical properties of the air inside the pipe and its dimensions.
2. Impact of Temperature on Air: When the temperature of the air inside the pipe increases, the molecules move more rapidly, which enhances the speed of sound. This increase in speed leads to a higher frequency of the sound produced.

Verify and Summarize

Based on the relationship between temperature, speed of sound, and frequency, we can conclude that the frequency of sound from an organ pipe increases with an increase in temperature.

Final Answer

(b) Increases.