>
Exams
>
Physics
>
kinetic theory
>
five gas molecules chosen at random are found to h
Question:
Five gas molecules chosen at random are found to have speeds of 500, 600, 700, 800 and 900 m/s.
Show Hint
RMS speed is always greater than average speed.
BITSAT - 2017
BITSAT
Updated On:
Mar 20, 2026
The root mean square speed and the average speed are the same.
The root mean square speed is 14 m/s higher than the average speed.
The root mean square speed is 14 m/s lower than the average speed.
The root mean square speed is √(14) m/s higher than the average speed.
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
Step 1:
Average speed vₐvg=(500+600+700+800+900)/(5)=700m/s
Step 2:
RMS speed vᵣms=√((500²+600²+700²+800²+900²)/(5)) =714m/s
Step 3:
Difference =14m/s
Download Solution in PDF
Was this answer helpful?
0
0
Top BITSAT Physics Questions
Which of the following is the correct electronic configuration for \( \text{Oxygen (O)} \)?
BITSAT - 2025
Physics
Atomic Structure
View Solution
A simple pendulum has a time period of 2 s on Earth's surface. What is its time period at a height equal to the Earth's radius (R)? (Acceleration due to gravity at height h is \( g_h = \frac{g}{(1 + h/R)^2} \)).
BITSAT - 2025
Physics
Mechanics
View Solution
A block of mass 5 kg is placed on a frictionless incline of angle $30^\circ$. What is the acceleration of the block down the incline? (Take $g = 9.8\, m/s^2$)
BITSAT - 2025
Physics
Projectile motion
View Solution
The equivalent resistance between points A and B in a circuit with two resistors of 6 \(\Omega\) each connected in parallel is:
BITSAT - 2025
Physics
Current electricity
View Solution
A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?
BITSAT - 2025
Physics
Kinematics
View Solution
View More Questions
Top BITSAT kinetic theory Questions
In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?
BITSAT - 2025
Physics
kinetic theory
View Solution
Mercury kept in the refrigerator has length L. If taken out in atmospheric pressure condition, length remains the same due to?
BITSAT - 2023
Physics
kinetic theory
View Solution
The de-Broglie wavelength of an electron moving with a velocity \( \frac{c}{3} \) (where \( c = 3 \times 10^8 \, {m/s} \)) is equal to the wavelength of a photon. The ratio of the kinetic energies of the electron and the photon is:
BITSAT - 2022
Physics
kinetic theory
View Solution
Five gas molecules chosen at random are found to have speeds of 500, 600, 700, 800 and 900m/s.
BITSAT - 2021
Physics
kinetic theory
View Solution
The average kinetic energy of an ideal gas molecule in SI unit at 25^∘C will be:
BITSAT - 2020
Physics
kinetic theory
View Solution
View More Questions
Top BITSAT Questions
Evaluate the integral \( \int \frac{x}{x^2 + 1} dx \):
BITSAT - 2025
Methods of Integration
View Solution
Evaluate the integral
\( \int_0^1 \frac{\ln(1 + x)}{1 + x^2} \, dx \)
BITSAT - 2025
integral
View Solution
The equation of the line passing through the point $ (2, 3) $ and making equal intercepts on the coordinate axes is:
BITSAT - 2025
Coordinate Geometry
View Solution
If $ x + \frac{1}{x} = 4 $, find the value of $ x^4 + \frac{1}{x^4} $.
BITSAT - 2025
Differential equations
View Solution
If the word "BITS" is coded using \( A=1, B=2, \ldots, Z=26 \), and the code is the sum of the squares of each letter's value, what is the code for the word?
BITSAT - 2025
Algebra
View Solution
View More Questions