Two tuning forks, $A$ and $B$, produce notes of frequencies $258 \,Hz$ and $262\, Hz$. An unknown note sounded with $A$ produces certain beats. When the same note is sounded with $B$, the beat frequency gets doubled. The unknown frequency is
- $250\, Hz$
- $252\, Hz$
- $254\, Hz$
- $256\, Hz$
The Correct Option is C
Solution and Explanation
If it produces $x$ beats with 258 and $2 x$ with $262 .$
$262-(258-x) =2 x $
$262-258+x =2 x $
$x =4$
$n =254\, Hz$
Top Questions on Waves
The relativistic effect in Global Navigation Satellite System satellites has two parts, of which the first part is the time dilation due to the shift in the fundamental frequency of the satellite clock. The second part is due to the satellite’s semi-major axis and __________
- Match the following SAR sensors to their frequency bands:
\[ \begin{array}{|c|l|c|l|} \hline \textbf{Column I} & \textbf{SAR Sensor} & \textbf{Column II} & \textbf{Frequency Band} \\ \hline P & \text{NOVASAR} & 1 & \text{X-BAND} \\ Q & \text{RISAT-1} & 2 & \text{C-BAND} \\ R & \text{TERRASAR} & 3 & \text{L-BAND} \\ S & \text{ALOS PALSAR} & 4 & \text{S-BAND} \\ \hline \end{array} \] The variations of kinetic energy \( K \), potential energy \( U \), and total energy \( E \) as a function of displacement of a particle in SHM is shown in the figure. The value of \( x_3 \) is
- A sound wave travels through air with a frequency of 500 Hz and a wavelength of 0.68 m. Calculate the speed of sound in air.
Questions Asked in KCET exam
A convex lens has power \( P \). It is cut into two halves along its principal axis. Further, one piece (out of two halves) is cut into two halves perpendicular to the principal axis as shown in the figure. Choose the incorrect option for the reported lens pieces.
- KCET - 2025
- Optics
The equation \[ 2 \cos^{-1} x = \sin^{-1} \left( 2 \sqrt{1 - x^2} \right) \] is valid for all values of \(x\) satisfying:
- KCET - 2025
- Inverse Trigonometric Functions
A metallic sphere of radius \( R \) carrying a charge \( q \) is kept at a certain distance from another metallic sphere of radius \( R_4 \) carrying a charge \( Q \). What is the electric flux at any point inside the metallic sphere of radius \( R \) due to the sphere of radius \( R_4 \)?
- KCET - 2025
- Electric Flux
- If the number of terms in the binomial expansion of \((2x + 3)^n\) is 22, then the value of \(n\) is:
- KCET - 2025
- Binomial theorem
The circuit shown in the figure contains two ideal diodes \( D_1 \) and \( D_2 \). If a cell of emf 3V and negligible internal resistance is connected as shown, then the current through \( 70 \, \Omega \) resistance (in amperes) is:
- KCET - 2025
- Refractive index
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