AP 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
- Assertion (A) Electromagnetic waves exert pressure, called radiation pressure.
Reason (R) This is because they carry energy.AP EAMCET 2021 Easy - For the combination of logic gates shown in the figure, the equivalent logic gate is
AP EAMCET 2018 Easy - A very small hole in an electric furnace is used for heating metals. The hole nearly acts as a black body. The area of the hole is \(200 \mathrm{~mm}^2\). To keep a metal at \(727^{\circ} \mathrm{C}\), heat energy flowing through this hole per sec, in joules is \(\left(\sigma=5.67 \times 10^{-8} \mathrm{Wm}^{-2} \mathrm{~K}^{-4}\right)\)AP EAMCET 2014 Easy
- A ball at rest is dropped from a height of 12 . It losses \(25 \%\) of its kinetic energy on striking the ground and bounces back to a height ' \(h\) '. Then value of ' \(h\) ' isAP EAMCET 2013 Medium
- A cyclotron's oscillator frequency is \(20 \mathrm{MHz}\). The operating magnetic field for accelerating protons is (charge of proton \(=1.6 \times 10^{-19} \mathrm{C}\), mass of proton \(=1.67\) \(\left.\mathrm{x} 10^{-27} \mathrm{~kg}\right)\)AP EAMCET 2023 Medium
- The focal length of a spherical mirror made of steel is \(150 \mathrm{~cm}\). If the temperature of the mirror increases by \(200 \mathrm{~K}\), its focal length become (coefficient of linear expansion of steel \(\alpha=12 \times 10^{-60} \mathrm{C}^{-1}\).)AP EAMCET 2019 Easy
More PYQs from AP EAMCET
- \(\int \sin ^{-1} \sqrt{\frac{x}{a+x}} d x=\)AP EAMCET 2024 Medium
- A toroid of \(n\) turns, mean radius \(R\) and cross-sectional radius a carries current \(I\). It is placed on a horizontal table taken as \(x y\)-plane. Its magnetic moment \(m\)AP EAMCET 2021 Easy
- The distance of the plane \(3 x+4 y+5 z+19=0\) from the point \((1,-1,1)\) measured along a line parallel to the line with direction ratios \(2,3,1\) isAP EAMCET 2019 Easy
- Which of the following works on Pascal's law?AP EAMCET 2021 Easy
- In \(\triangle A B C, \angle A=90^{\circ}\) and co-ordinates of points \(B\) and \(C\) are \((2,-4)\) and \((1,5)\). Then the equation of the circumcircle of \(\triangle A B C\) isAP EAMCET 2020 Medium
- If \(a, b, c\) are distinct positive real numbers, then the value of the determinant \(\left|\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right|\) isAP EAMCET 2016 Easy