Two waves of wavelengths 50 cm and 51 cm produced 12 beats per sec. The velocity of sound is
\({ 340 \, m \, s^{-1}}\)
\({ 331\, m \, s^{-1}}\)
\({ 306 \, m \, s^{-1}}\)
\({ 360\, m \, s^{-1}}\)
The Correct Option is C
Solution and Explanation
$= \upsilon_1 - \upsilon_2 = \frac{\upsilon}{\lambda_1} - \frac{\upsilon}{\lambda_2}$
$12 = \upsilon \left[ \frac{1}{50} - \frac{1}{51} \right] $ or $12 = \frac{ \upsilon \times 1}{50 \times 51}$
or, $\upsilon = 12 \times 50 \times 51 { cm \, s^{-1} = 306 \, m \, s^{-1}}$
Top Questions on Waves
- A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz when kept under some tension. The resonating length of the wire with fundamental frequency of 600 Hz under same tension _______ cm.
- The equation of a stationary wave is:
\[y = 2a \sin\left(\frac{2\pi nt}{\lambda}\right) \cos\left(\frac{2\pi x}{\lambda}\right)\]Which of the following is NOT correct: - A closed organ pipe 150 cm long gives 7 beats per second with an open organ pipe of length 350 cm, both vibrating in fundamental mode. The velocity of sound is ________ m/s.
- A plane progressive wave is given by \( y = 2 \cos 2\pi(330t - x) \, \text{m} \). The frequency of the wave is:
- Two waves of intensity ratio \( 1 : 9 \) cross each other at a point. The resultant intensities at the point, when (a) Waves are incoherent is \( I_1 \) (b) Waves are coherent is \( I_2 \) and differ in phase by \( 60^\circ \) If \( \frac{I_1}{I_2} = \frac{10}{x} \) then \( x = \) _____.
Questions Asked in JIPMER exam
- Binomial nomenclature was first introduced by
- JIPMER - 2015
- KCET - 2022
- Diversity In The Living World
- A convex lens $'A'$ of focal length $20\, cm$ and a concave lens $'B'$ of focal length $5\, cm$ are kept along the same axis with a distance $'d'$ between them. If a parallel beam of light falling on $'A'$ leaves $'B'$ as a parallel beam, then the distance $'d'$ in cm will be :
- JIPMER - 2021
- Spherical Mirrors
- A bacterial flagellum is composed of
- JIPMER - 2021
- Prokaryotic Cells
- $2,4-DNP $ test can be used to identify :
- JIPMER - 2021
- Chemical Reactions
- How many moles of acidified $K_2Cr_2O_7$ is required to liberate $6$ moles of $I_2$ from an aqueous solution of $I^-$ ?
- JIPMER - 2020
- Mole concept and Molar Masses
Concepts Used:
Waves
Waves are a disturbance through which the energy travels from one point to another. Most acquainted are surface waves that tour on the water, but sound, mild, and the movement of subatomic particles all exhibit wavelike properties. inside the most effective waves, the disturbance oscillates periodically (see periodic movement) with a set frequency and wavelength.
Types of Waves:
Transverse Waves -
Waves in which the medium moves at right angles to the direction of the wave.
Examples of transverse waves:
- Water waves (ripples of gravity waves, not sound through water)
- Light waves
- S-wave earthquake waves
- Stringed instruments
- Torsion wave
The high point of a transverse wave is a crest. The low part is a trough.
Longitudinal Wave -
A longitudinal wave has the movement of the particles in the medium in the same dimension as the direction of movement of the wave.
Examples of longitudinal waves:
- Sound waves
- P-type earthquake waves
- Compression wave
SUBSCRIBE TO OUR NEWS LETTER
