AP EAMCET · PHYSICS · Waves and Sound
When a stretched wire of fundamental frequency \(f\) is divided into three segments, the fundamental frequencies of these three segments are \(f_1, f_2\) and \(f_3\) respectively. Then the relation among \(\mathrm{f}_1, \mathrm{f}_2, \mathrm{f}_3\) and f is (Assume tension is constant)
- A \(\sqrt{\mathrm{f}}=\sqrt{\mathrm{f}_1}+\sqrt{\mathrm{f}_2}+\sqrt{\mathrm{f}_3}\)
- B \(\mathrm{f}=\mathrm{f}_1+\mathrm{f}_2+\mathrm{f}_3\)
- C \(\frac{1}{\mathrm{f}}=\frac{1}{\mathrm{f}_1}+\frac{1}{\mathrm{f}_2}+\frac{1}{\mathrm{f}_3}\)
- D \(\frac{1}{\sqrt{\mathrm{f}}}=\frac{1}{\sqrt{\mathrm{f}_1}}+\frac{1}{\sqrt{\mathrm{f}_2}}+\frac{1}{\sqrt{\mathrm{f}_3}}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{\mathrm{f}}=\frac{1}{\mathrm{f}_1}+\frac{1}{\mathrm{f}_2}+\frac{1}{\mathrm{f}_3}\)
Step-by-step Solution
Detailed explanation
\(L \propto \frac{1}{f}\) (since \(f = \frac{1}{2L}\sqrt{\frac{T}{\mu}}\) and \(T, \mu\) are constant) \(L = L_1 + L_2 + L_3\) \(\frac{1}{f} = \frac{1}{f_1} + \frac{1}{f_2} + \frac{1}{f_3}\)
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
- The energy of a photon in a monochromatic light of wavelength \(621 \mathrm{~nm}\) matches with the band gap of a semiconducting material. Then the minimum energy required to create an electron-hole pair from the semiconductor is
[Take hc \(=1242 \mathrm{eV}-\mathrm{nm}\), where h is Planck's constant and \(\mathrm{c}\) is speed of light in vacuum]AP EAMCET 2022 Easy - The ratio of radii of \(3^{\text {rd }}\) and \(6^{\text {th }}\) Bohr's orbit in a hydrogen atom isAP EAMCET 2022 Medium
- An alpha particle moves along a circular path of radius 0.5 mm in a magnetic field of \(2 \times 10^{-2} \mathrm{~T}\). The de Broglie wavelength associated with the alpha particle is nearly
\(\left(\right.\) Planck's constant \(\left.=6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}\right)\)AP EAMCET 2025 Medium - A body is projected from the earth at angle \(30^{\circ}\) with the horizontal with some initial velocity. If its range is \(20 \mathrm{~m}\), the maximum height reached by it is : (in metres)AP EAMCET 2006 Easy
- A sphere of mass is attached to a spring of spring constant and is held in unstretched position over an inclined plane as shown in the figure. After letting the sphere go, find the maximum length by which the spring extends, given the sphere only rolls.
AP EAMCET 2021 Hard - Figure shows the cross-sectional view of the hollow cylindrical conductor with inner radius \(R\) and outer radius \(2 R\), carrying uniformly distributed current \(i\) along its axis. The magnetic induction at point \(P\) at a distance \(3 R / 2\) from the axis of the cylinder will be
AP EAMCET 2020 Hard
More PYQs from AP EAMCET
- If two sections of strengths 30 and 45 are formed from 75 students who are admitted in a school, then the probability that two particular students are always together in the same section isAP EAMCET 2019 Medium
- If \(\sin ^{-1} x-\cos ^{-1} x=\frac{\pi}{6}\), then \(x\) is equal toAP EAMCET 2002 Easy
- If the line joining \(A(1,3,4)\) and \(B\) is divided by the point \((-2,3,5)\) in the ratio \(1: 3\), then \(B\) isAP EAMCET 2014 Easy
- If the lines joining the origin to the points of intersection of \(y=m x+1\) and \(x^2+y^2=1\) are perpendicular, then .........AP EAMCET 2020 Medium
- If \(z, i z\) and \(z+i z\) are the vertices of a triangle and if \(|z|=4\), then the area (in sq. units) of that triangle, isAP EAMCET 2017 Hard
- The domain of the function , where is greatest integer function of isAP EAMCET 2021 Easy