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Factors Affecting Velocity of Sound in Gaseous Medium

NEET > Physics > Oscillations and Waves > Waves and Sound > Factors Affecting Velocity of Sound in Gaseous Medium

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NEET Physics - Chapter 17

Factors Affecting Velocity of Sound in Gaseous Medium – Complete Notes, Revision, Important Questions & Downloads

Factors Affecting Velocity of Sound in Gaseous Medium is built around the subtopic Temperature, Pressure, and Density Effects, where the controlling relation is v = sqrt(gamma P/rho) = sqrt(gamma RT/M). NEET tests this topic through short conceptual numericals: pressure change at fixed temperature, temperature change from 0 degree C baseline, humid versus dry air comparison, and wind-corrected apparent speed. The key scoring move is to identify which quantity is held constant before using v proportional to sqrt(T), v proportional to 1/sqrt(rho), or v' = v + w cos theta. Questions look easy but options are designed around wrong proportionality and Celsius-versus-kelvin substitution errors.

⬇ Download Notes PDFView Important Questions →
Formula ApplicationNumerical + ConceptNCERT-Aligned
Expected QuestionsQ
1
Usually one direct or embedded question appears where temperature, humidity, or wind correction controls the final speed.
Time Required⏱
1.5 h
About 45 minutes to lock all proportionality cases and 45 minutes for mixed MCQs with unit-conversion and condition checks.
Difficulty⚡
Medium
Core formulas are short, but option traps exploit condition changes and incorrect assumption that pressure always increases speed.
NRI USA Curriculum GapUS
Moderate Bridge Needed
Many US high-school tracks discuss sound qualitatively, while NEET requires rapid equation-level switching among temperature, density, humidity, and wind components.
5Subtopics
20Practice Questions
4Free Downloads
1.5 hPrep Time
⬇ Get Free Downloads

Factors Affecting Velocity of Sound in Gaseous Medium Weightage and Trend

Waves and Sound - Topic 6
NEET YearQuestions from this TopicBarMarks
20201
 
1 question
4
20210
 
0 question
0
20221
 
1 question
4
20230
 
0 question
0
20241
 
1 question
4
20250
 
0 question
0
Estimated topic-linked asks in recent NEET papers3 12
Pressure-based questions are solved by checking whether temperature is fixed; if fixed, P and rho rise together so v remains unchanged.
Temperature questions are frequently framed with two Celsius values; convert to absolute scale before using v1/v2 = sqrt(T1/T2).

Humidity and wind are common conceptual traps: humid air has lower density, and observed speed along a direction uses v' = v + w cos theta.
📊
0.5
Avg Questions / Year
🎯
12
Total Marks (6 yrs)
📈
Indirect
Pattern
⚠️
Medium
Difficulty

5-Step Formula-Condition Routine

1

Write the governing gas-medium form first Start every question by writing v = sqrt(gamma P/rho) = sqrt(gamma RT/M), then mark which symbols are constant in the stem before any substitution.

2

Check pressure condition before calculating If the question says pressure changes at constant temperature, avoid direct proportionality with P; use the paired change in density to keep P/rho constant.

3

Convert Celsius to absolute temperature For comparison questions, use T = 273 + t and apply v1/v2 = sqrt(T1/T2); this prevents the common error of dividing Celsius values directly.

4

Handle humidity through density logic Use v proportional to 1/sqrt(rho): higher humidity lowers effective air density, so speed increases at the same temperature.

5

Apply directional wind correction last When wind is present, compute along the given line using v' = v + w cos theta and choose the sign from propagation direction relative to wind.

Factors Affecting Velocity of Sound in Gaseous Medium Download Kit

PDF · Cheat Sheet · MCQ Set · PYQ
📘
Full Notes
Topic notes covering pressure independence, temperature scaling, density and humidity interpretation, and wind-correction with one worked example for each case.
10 pagesFormula + trap map
Download PDF
🧾
Formula Sheet
Compact sheet for v = sqrt(gamma RT/M), v1/v2 = sqrt(T1/T2), vt = v0 + 0.61t, and v' = v + w cos theta with condition flags.
2 pagesLast-day revision
Download PDF
🧠
MCQ Practice
Practice set with condition-based numericals where one wrong assumption about constant variables changes the final answer option.
60 MCQsAnswer key included
Download PDF
📂
PYQ Workbook
Curated workbook of sound-speed trend questions with year tags and option-elimination notes focused on temperature and humidity traps.
Year taggedError log section
Download PDF

Subtopics in Factors Affecting Velocity of Sound in Gaseous Medium

2-Column Table
Column AColumn B
Various forms of progressive wave function↗
Newton's formula↗
Laplace correction↗
Effect of temperature↗
Effect of humidity↗

Rapid Revision Cards

Concept → Trap → Example

1) Temperature, Pressure, and Density Effects

Condition map

For gases, v = sqrt(gamma P/rho) = sqrt(gamma RT/M): at constant temperature speed is pressure-independent, with temperature v proportional to sqrt(T), and with density v proportional to 1/sqrt(rho).

  • If temperature is fixed, increase in pressure is accompanied by proportional increase in density, so P/rho stays constant.
  • For two temperatures, use absolute scale and apply v1/v2 = sqrt(T1/T2), not t1/t2 in degree C.
  • Trap: students use v proportional to P directly and predict higher pressure gives higher speed at constant temperature.
Example (NEET-style)At 0 degree C, v0 = 332 m/s. For a 10 degree C rise, vt = v0 + 0.61t = 332 + 0.61 x 10 = 338.1 m/s, so speed increases by 6.1 m/s.

Curriculum Gap: India vs USA

Two concrete preparation gaps to bridge for NEET readiness

AP Physics 2 sound chapter vs NEET thermodynamic linkage

AP Physics 2 often treats speed of sound qualitatively, while NEET expects immediate use of gas-law-linked forms such as v = sqrt(gamma RT/M) and condition-based proportionality.

  • Build a one-page condition table: constant temperature, temperature ratio, humidity change, and wind correction.
  • Solve at least ten mixed items where the first step is identifying fixed versus varying variables.

US conceptual courses vs NEET quick numerical discipline

Many US school assessments emphasize explanation, but NEET demands rapid conversion from Celsius to kelvin and one-line evaluation of expressions like vt = v0 + 0.61t.

  • Practice 30-second conversions for 0, 20, 27, and 30 degree C benchmark temperatures.
  • Drill sign and direction handling in v' = v + w cos theta for with-wind and against-wind travel.

NEET-style practice questions

1 MCQ
1In dry air at 27 degree C, the speed of sound is measured as v. If pressure is doubled while temperature is still 27 degree C, and then humidity is increased at the same temperature and pressure, which final trend is correct?Temperature, Pressure, and Density Effects
Speed first doubles, then decreases
Speed first remains v, then increases
Speed first decreases, then remains constant
Speed first remains v, then decreases
For a gas, v = sqrt(gamma P/rho). When pressure is doubled at constant temperature, density also doubles proportionally (ideal-gas behavior), so P/rho stays unchanged and speed remains v. Next, increasing humidity introduces more water vapor, lowering effective density of air at the same temperature and pressure; with v proportional to 1/sqrt(rho), speed increases. Hence the correct trend is unchanged first, then increase. Option A is wrong because speed is not directly proportional to pressure. Option C is wrong because pressure doubling does not lower speed at fixed temperature. Option D is wrong because humid air does not make sound slower at the same temperature.

Practice Questions

Click "Reveal Answer" after attempting
1At 0 degree C, speed of sound in air is 332 m/s. Estimate speed at 20 degree C using vt = v0 + 0.61t.
336.2 m/s
342.2 m/s
344.2 m/s
352.2 m/s
👁 Reveal Answer
Correct option: 344.2 m/s. Use vt = v0 + 0.61t with v0 = 332 m/s and t = 20. So vt = 332 + 0.61 x 20 = 332 + 12.2 = 344.2 m/s. Option A corresponds to taking t = 7, option B comes from an arithmetic slip, and option D overestimates rise per degree.
2Speed of sound is v1 at 300 K and v2 at 333 K in the same gas. Find v2/v1.
1.11
1.05
0.95
1.20
👁 Reveal Answer
Correct option: 1.05. For fixed gas composition, v is proportional to sqrt(T). Therefore v2/v1 = sqrt(333/300) = sqrt(1.11) which is approximately 1.054, rounded to 1.05. Option 1.11 is the trap from forgetting square root. Options 0.95 and 1.20 do not match the proportionality and expected mild increase.
3A sound wave has speed 340 m/s in still air. Wind speed is 20 m/s and the direction of propagation makes 60 degree with wind direction. What is resultant speed toward the observer?
330 m/s
340 m/s
350 m/s
360 m/s
👁 Reveal Answer
Correct option: 350 m/s. Use v' = v + w cos theta. Here v = 340, w = 20, theta = 60 degree, so w cos theta = 20 x 0.5 = 10 m/s. Thus v' = 340 + 10 = 350 m/s. Option 360 assumes theta = 0. Option 340 ignores wind component. Option 330 corresponds to wrong sign without checking direction relation.
4Two air samples are at the same temperature and pressure. Sample A is dry air, sample B is humid air with lower density. Which statement is correct about speed of sound?
vA = vB because pressure is same
vA > vB because humid air is heavier
vA < vB because speed is inversely related to square root of density
Cannot be compared without frequency
👁 Reveal Answer
Correct option: vA < vB because speed is inversely related to square root of density. For gas under same temperature context, lower effective density gives higher sound speed, so humid air carries sound faster than dry air. Option 1 ignores density dependence. Option 2 reverses the density fact used in this topic. Option 4 is wrong because medium speed does not depend on wave frequency in this regime.

Physics Revision Checklist

Check off chapters as you revise

Use this section for quick chapter tracking before mocks, part tests, and final NEET revision.

Tip: Mark a chapter complete only after revising formulas, solving PYQs, and reviewing your error log for that chapter.

Frequently Asked Questions

Notes · Downloads · Revision · Important Questions
Why is speed of sound in a gas independent of pressure at constant temperature?
Because v = sqrt(gamma P/rho), and for an ideal gas at fixed temperature, pressure and density rise or fall proportionally. That keeps P/rho unchanged. So increasing only pressure in the statement does not automatically increase speed unless temperature or composition is also changed.
Why must I convert degree C to kelvin in v1/v2 = sqrt(T1/T2) questions?
The proportionality v proportional to sqrt(T) is derived using absolute temperature. If you divide Celsius values directly, the ratio becomes physically wrong, especially near low temperatures. Always use T = 273 + t, then apply square root. This single step removes many common option traps.
How much does speed increase per 1 degree C rise in air?
For small temperature changes near ordinary conditions, use vt = v0 + 0.61t. This means speed increases by about 0.61 m/s per 1 degree C. Use it for fast estimates in NEET-style options, while remembering that the exact relation still comes from square-root dependence on absolute temperature.
Why does sound travel faster in humid air than in dry air at the same temperature?
Humid air has lower effective density than dry air under similar conditions. Since sound speed varies inversely with square root of density in this context, lower density leads to higher speed. Students often reverse this trend by assuming humidity always makes air heavier; that assumption is incorrect here.
Does changing frequency of sound change its speed in the same gaseous medium?
In the same medium and same thermodynamic conditions, frequency does not set propagation speed for ordinary sound waves. Frequency changes wavelength through v = f lambda, but the medium determines v. The textbook line also states that phase, loudness, pitch, and quality have practically no effect on sound velocity.
How do I decide the sign in wind correction formula v' = v + w cos theta?
Choose theta as the angle between wind direction and wave propagation direction along the line of observation. If wind component supports propagation, the component is positive and speed increases; if opposite, the component effectively subtracts. Draw a quick direction sketch before plugging numbers.
When should I use vt = v0 + 0.61t and when should I use v1/v2 = sqrt(T1/T2)?
Use vt = v0 + 0.61t for small temperature changes around standard reference where fast linear estimate is expected. Use v1/v2 = sqrt(T1/T2) for exact comparison between two temperatures, especially when differences are larger or when the question explicitly asks ratio-based computation.
What is the fastest way to avoid mistakes in this topic during NEET practice?
Apply a fixed order: write governing relation, identify constant quantities, convert temperature to kelvin, then substitute. After getting the value, do a trend check: higher T should increase v, higher humidity should increase v, and pressure-only change at constant T should not alter v. This final check catches most errors.
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Various forms of progressive wave function

Newton's formula

Laplace correction

Effect of temperature

Effect of humidity

Subtopics

Various forms of progressive wave function

Newton's formula

Laplace correction

Effect of temperature

Effect of humidity

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Various forms of progressive wave function

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