TS EAMCET · Physics · Waves and Sound
Two uniform strings \(A\) and \(B\) made of steel are made to vibrate under the same tension. If the first overtone of \(A\) is equal to the second overtone of \(B\) and if the radius of \(A\) is twice that of \(B\), the ratio of the lengths of the strings is :
- A \(1: 2\)
- B \(1: 3\)
- C \(1: 4\)
- D \(1: 5\)
Answer & Solution
Correct Answer
(B) \(1: 3\)
Step-by-step Solution
Detailed explanation
Fundamental frequency of string, \(n=\frac{1}{2 l} \sqrt{\frac{T}{m}}\) where, \(m=\) mass per unit length of the string \(=\pi r^2 \rho\) \(\therefore \quad n=\frac{1}{2 l} \sqrt{\frac{T}{\pi r^2 \rho}}\) For string \(A\) first overtone,…
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
- Sum of magnitude of two forces is \(25 \mathrm{~N}\). The resultant of these forces is normal to the smaller force and has a magnitude of \(10 \mathrm{~N}\). Then the two forces areTS EAMCET 2015 Hard
- A beam of light propagating at an angle \(\alpha_1\) from a medium 1 through to another medium 2 at an angle \(\alpha_2\). If the wavelength of light in medium 1 is \(\lambda_1\), then the wavelength of light in medium \(2,\left(\lambda_2\right)\), isTS EAMCET 2017 Easy
- A projectile is given an initial velocity of where, is along the ground and is along the vertical. Assuming , if the equation of its trajectory can be written as , then the value of isTS EAMCET 2022 Easy
- A wire of length, carries a current along the - axis. The magnetic force acting on the wire is given by where is a constant. The existing magnetic field isTS EAMCET 2021 Hard
- The velocity of a particle moving along the - axis varies as a function of time as If its position at is then at it's position isTS EAMCET 2021 Medium
- An insulating cylinder contains 4 moles of an ideal diatomic gas. When a heat \(\mathrm{Q}\) is supplied, to it, 2 moles of the gas molecules dissociate. If the temperature of the gas remains constant, then the value of \(Q\) is \[ \text { ( } \mathbf{R} \text { - universal gas constant) } \]TS EAMCET 2023 Easy
More PYQs from TS EAMCET
- A system goes from \(A\) and \(B\) via two processes I and II as shown in figure. If \(\Delta U_1\) and \(\Delta U_2\) are the changes in internal energies in the processes I and II respectively, then the relation between \(\Delta U_1\) and \(\Delta U_2\) is
TS EAMCET 2020 Easy - When \(Q_1\) amount of heat is supplied to a monatomic gas, the work done by the gas is \(W\). When \(Q_2\) amount of heat is supplied to a diatomic gas, the work done by the gas is \(2 W\). Then \(Q_1: Q_2=\)TS EAMCET 2024 Hard
- If an electron has an energy such that its de-Broglie wavelength is \(5500 Å\), then the energy value of that electron is \(\left(h=6.6 \times 10^{-34} \mathrm{Js}, m_{\mathrm{c}}=9.1 \times 10^{-31} \mathrm{~kg}\right)\)TS EAMCET 2015 Easy
- The surface of a black body is at a temperature \(727^{\circ} \mathrm{C}\) and its cross-section is \(1 \mathrm{~m}^2\). Heat radiated from this surface in one minute in joules is (Stefan's constant \(=5.7 \times 10^{-8} \mathrm{~W} / \mathrm{m}^2 / \mathrm{k}^4\) )TS EAMCET 2016 Easy
- The plates of a parallel plate capacitor are charged upto 200 volts. A dielectirc slab of thickness \(4 \mathrm{~mm}\) is inserted between its plates. Then, to maintain the same potential difference between the plates of the capacitor, the distance between the plates is increased by \(3.2 \mathrm{~mm}\). The dielectric constant of the dielectric slab isTS EAMCET 2004 Medium
- The thickness of a uniform rectangular metal plate is 5 mm and the area of each surface is \(5 \mathrm{~cm}^2\). In steady state, the temperature difference between the two surfaces of the plate is \(14^{\circ} \mathrm{C}\). If the heat flowing through the plate in one second from one surface to the other surface is 42 J , then the thermal conductivity of the metal isTS EAMCET 2024 Easy