AP EAMCET · PHYSICS · Oscillations
One end of a long metallic wire of length \(L\), area of cross-section \(A\) and Young's modulus \(Y\) is tied to the ceiling. The other end is tied to a massless spring of force constant \(k\) and a mass \(m\) is hung from the free end of the spring. If \(m\) is slightly pulled down and released, then its time period of oscillation is
- A \(2 \pi \sqrt{\frac{m}{k}}\)
- B \(2 \pi \sqrt{\frac{m Y A}{k L}}\)
- C \(2 \pi \sqrt{\frac{m(k A+Y L)}{k Y A}}\)
- D \(2 \pi \sqrt{\frac{m(k L+Y A)}{k Y A}}\)
Answer & Solution
Correct Answer
(D) \(2 \pi \sqrt{\frac{m(k L+Y A)}{k Y A}}\)
Step-by-step Solution
Detailed explanation
For oscillating mass at end of a rod. Restoring force \( =\frac{Y A}{L} \cdot x \) So, \(k_1=\) spring constant for a rod is \(\frac{Y A}{L}\). If a rod and spring are connected, then it is a series combination. So, \(\left(k_{\text {eq }}\right)\)…
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
- Two charged particles each of mass \(9.8 \mathrm{~g}\) and charges \(+20 \mu \mathrm{C}\) and \(-20 \mu \mathrm{C}\) are attached to the two ends of a massless and rigid uniform non-conducting rod of length \(50 \mathrm{~cm}\). This arrangement is held in a uniform electric field of \(12.1 \mathrm{NC}^{-1}\), such that the rod makes a very small angle with the field direction. If the rod is set free, the minimum time needed for the rod to become parallel to the direction of the electric field is ................ seconds.AP EAMCET 2018 Hard
- 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
- In Young's double slit experiment, the wavelengths of red and blue lights used are \(7.5 \times 10^{-5} \mathrm{~cm}\) and \(5 \times 10^{-5} \mathrm{~cm}\) respectively. If \(\mathrm{n}^{\text {th }}\) bright fringe of red color coincides with \((n+1)^{\text {th }}\) bright fringe of blue colour, then the value of ' \(n\) ' isAP EAMCET 2025 Medium
- An inductor and a resistor are connected in series to an ac source of voltage \(144 \sin \left(100 \pi t+\frac{\pi}{2}\right)\) Volt. If the current in the circuit is \(6 \sin \left(100 \pi t+\frac{\pi}{6}\right)\) ampere, then the resistance of the resistor isAP EAMCET 2024 Hard
- The two lenses of an achromatic doublet should haveAP EAMCET 2009 Easy
- The device that can detect optical signals isAP EAMCET 2023 Easy
More PYQs from AP EAMCET
- The locus of a variable point which forms a triangle of fixed area with two fixed points isAP EAMCET 2024 Easy
- An example for network solid isAP EAMCET 2023 Easy
- The kinetic energy of a particle executing simple harmonic motion at a displacement of 3 cm from the mean position is 4 mJ. If the amplitude of the particle is 5 cm, then the maximum force acting on the particle isAP EAMCET 2025 Medium
- If \(\alpha, \beta, \gamma\) are any three angles, then \(\cos \alpha+\cos \beta-\cos \gamma-\cos (\alpha+\beta+\gamma)=\)AP EAMCET 2018 Medium
- If \(x^2+5 a x+6=0\) and \(x^2+3 a x+2=0\) have a common root then that common root isAP EAMCET 2024 Easy
- Two infinitely long wires are placed at \((1 \mathrm{~cm}\), \(1 \mathrm{~cm})\) and \((+1 \mathrm{~cm},-1 \mathrm{~cm})\) with \(1 \mathrm{~A}\) current in each and in the same directions perpendicular to \(x y\)-plane. let the magnetic field due to these current carrying wires at the origin be \(\mathbf{B}\). If \(B_0\) is the magnitude of the field if only one of them was present. then \(\frac{|\mathbf{B}|}{B_0}\) isAP EAMCET 2022 Easy