JEE Mains · Physics · STD 11 - 14. waves and sound
A sonometer wire of resonating length \(90 \mathrm{~cm}\) has a fundamental frequency of \(400 \mathrm{~Hz}\) when kept under some tension. The resonating length of the wire with fundamental frequency of \(600 \mathrm{~Hz}\) under same tension ________ \(\mathrm{cm}\).
- A \(30\)
- B \(40\)
- C \(50\)
- D \(60\)
Answer & Solution
Correct Answer
(D) \(60\)
Step-by-step Solution
Detailed explanation
\(\mathrm{f}_0=400 \mathrm{~Hz} ; \mathrm{v}=\sqrt{\frac{\mathrm{T}}{\mu}}=\text { constant }\) \(\frac{\lambda}{2}=\mathrm{L} ; \mathrm{v}=\mathrm{f}_0 \lambda\) \(\frac{\mathrm{v}}{2 \mathrm{f}_0}=\mathrm{L} \Rightarrow \mathrm{v}=2 \mathrm{Lf}_0\)…
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
- In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus towards \(A\). If an object placed at 13 cm from the vertex of the meniscus in A forms an image with a magnification of ' \(-2^{\prime}\) then the radius of curvature of meniscus is :JEE Mains 2025 Hard
- In series \(LCR\) circuit, the capacitance is changed from \(\mathrm{C}\) to \(4 \mathrm{C}\). To keep the resonance frequency unchanged, the new inductance should be _______.JEE Mains 2024 Hard
- A system of two blocks of masses \(m =2 \; kg\) and \(M=8 \; kg\) is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is \(0.5\). The maximum horizontal force \(F\) that can be applied to the block of mass \(M\) so that the blocks move together will be \(\dots \; N\)
JEE Mains 2022 Medium - The reading of pressure metre attached with a closed pipe is \(4.5 \times 10^4 \mathrm{~N} / \mathrm{m}^2\). On opening the valve, water starts flowing and the reading of pressure metre falls to \(2.0 \times 10^4 \mathrm{~N} / \mathrm{m}^2\). The velocity of water is found to be \(\sqrt{\mathrm{V}} \mathrm{m} / \mathrm{s}\). The value of \(\mathrm{V}\) is__________JEE Mains 2024 Hard
- A current of \(30\) A each flows in opposite directions in two conducting wires, placed parallel to each other at a distance of \(8\) cm. The magnetic field at the mid point between the two wires is __________ \(\mu\)T. \(\left(\dfrac{\mu_0}{4\pi} = 10^{-7}\text{ N/A}^2\right)\)JEE Mains 2026 Medium
- A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature \(50^{\circ} C\). The gas is now heated to double its temperature. The modified pressure is _________ Pa .JEE Mains 2026 Hard
More PYQs from JEE Mains
- A hollow spherical shell at outer radius \(R\) floats just submerged under the water surface. The inner radius of the shell is \(r\). If the specific gravity of the shell material is \(\frac{27}{8}\) \(w.r.t.\) water, the value of \(r\) is\(......R\)JEE Mains 2020 Hard
- A random variable \(X\) has the following probability distribution
The value of \(P (1< X <4 \mid X \leq 2)\) is equal to\(X\) \(0\) \(1\) \(2\) \(3\) \(4\) \(P(X)\) \(k\) \(2k\) \(4k\) \(6k\) \(8k\) JEE Mains 2022 Medium - Let \(S\) be the sample space of all five digit numbers.If \(p\) is the probability that a randomly selected number from \(S\), is a multiple of \(7\) but not divisible by \(5\) , then \(9\,p\) is equal to.JEE Mains 2022 Hard
- The domain of \(f(x)=\frac{\log _{(x+1)}(x-2)}{e^{\log _e x}-(2 x+3)}, x \in R\) isJEE Mains 2023 Hard
- Let \(A= \{1, 2, 3, 4\}\) and \(R : A \to A\) be the relation defined by \(R = \{ (1, 1), (2, 3), (3, 4), ( 4, 2) \}\). The correct statement isJEE Mains 2013 Hard
- If \(a_1 , a_2, a_3, . . . . , a_n, ....\) are in \(A.P.\) such that \(a_4 - a_7 + a_{10}\, = m\), then the sum of first \(13\) terms of this \(A.P.\), is .............. \(\mathrm{m}\)JEE Mains 2013 Hard