JEE Mains · Physics · STD 11 - 14. waves and sound
A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at \(STP\). Assuming the speed of sound in air at \(STP\) is \(300\; \mathrm{m} / \mathrm{s}\), the frequency difference between the fundamental and second harmonic of this pipe is ___ \(\mathrm{Hz}\)
- A \(92\)
- B \(106\)
- C \(125\)
- D \(136\)
Answer & Solution
Correct Answer
(B) \(106\)
Step-by-step Solution
Detailed explanation
\(v_{s}=\sqrt{\frac{\gamma P}{\rho}}\) \(\frac{\mathrm{v}_{\mathrm{gas}}}{\mathrm{v}_{\mathrm{air}}}=\sqrt{\frac{\rho_{\mathrm{air}}}{\rho_{\mathrm{gas}}}}\) \(\Rightarrow \frac{\mathrm{v}_{\mathrm{gas}}}{300}=\frac{1}{\sqrt{2}}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed, is Elasticity.
Reason (R) : The restoring force depends upon the bonded inter atomic and inter molecular force of solid.
In the light of the above statements, choose the correct answer from the options given below:JEE Mains 2024 Medium - A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is \(\left(\frac{a-1}{a}\right)\) then the value of \(a\) is _______.JEE Mains 2024 Medium
- A prism of refractive index \(\mu\) and angle \(A\) is placed in the minimum deviation position. If the angle of minimum deviation is \(A,\) then the value of \(A\) in terms of \(\mu\) isJEE Mains 2021 Hard
- The truth table for this given circuit is _______.
JEE Mains 2024 Hard - A real gas within a closed chamber at \(27^{\circ} \mathrm{C}\) undergoes the cyclic process as shown in figure. The gas obeys \(P V^3=\mathrm{RT}\) equation for the path \(A\) to \(B\). The net work done in the complete cycle is _______.(assuming \(R=8 \mathrm{~J} / \mathrm{molK}\) )JEE Mains 2024 Hard
- In an experiment to determine the period of a simple pendulum of length \(1\, m\), it is attached to different spherical bobs of radii \(r_1\) and \(r_2\) . The two spherical bobs have uniform mass distribution. If the relative difference in the periods, is found to be \(5\times10^{-4}\, s\), the difference in radii, \(\left| {{r_1} - {r_2}} \right|\) is best given by .... \(cm\)JEE Mains 2017 Hard
More PYQs from JEE Mains
- If \(A=\left[\begin{array}{cc}1 & 5 \\ \lambda & 10\end{array}\right], A ^{-1}=\alpha A+\beta I\) and \(\alpha+\beta=-2\) then \(4 \alpha^2+\beta^2+\lambda^2\) is equal to:JEE Mains 2023 Hard
- The area of the region enclosed by the curve \(y=x^3\) and its tangent at the point \((-1,-1)\) isJEE Mains 2023 Medium
- Match the LIST-I with LIST-II
LIST-I LIST-II (A) Boltzmann constant I. \(\mathrm{ML}^2 \mathrm{~T}^{-1}\) (B) Coefficient of viscosity II. \(\mathrm{MLT}^{-3} \mathrm{~K}^{-1}\) (C) Planck's constant III. \(\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\) (D) Thermal conductivity IV. \(\mathrm{ML}^{-1} \mathrm{~T}^{-1}\)
Choose the correct answer from the options given below :JEE Mains 2025 Medium - A monochromatic light of wavelength \(6000\)A is incident on the single slit of width \(0.01 \mathrm{~mm}\). If the diffraction pattern is formed at the focus of the convex lens of focal length \(20 \mathrm{~cm}\), the linear width of the central maximum is _______.JEE Mains 2024 Hard
- A thin smooth rod of length \(L\) and mass \(M\) is rotating freely with angular speed \({\omega _0}\) about an axis perpendicular to the rod and passing through its centre. Two beads of mass \(m\) and negligible size are at the centre of the rod initially. The beads are free to slide along the rod. The angular speed of the system, when the beads reach the opposite ends of the rod will beJEE Mains 2019 Hard
- The initial speed of a bullet fired from a rifle is \(630\, m/s\). The rifle is fired at the centre of a target \(700\, m\) away at the same level as the target. How far above the center of the target (in \(m\)) the rifle must be aimed in order to hit the target? (Take \(g=10 \;m/s^2\))JEE Mains 2014 Hard