AP EAMCET · PHYSICS · Mechanical Properties of Solids
A sphere of mass \(2 \mathrm{~kg}\) and diameter \(4.5 \mathrm{~cm}\) is attached to the lower end of a steel wire of \(2 \mathrm{~m}\) length and area of cross-section \(0.24 \times 10^{-6} \mathrm{~m}^2\). The wire is suspended from \(205 \mathrm{~cm}\) high ceiling of a room. When the system is made to oscillate as a simple pendulum, the sphere just grazes the floor at its lowest position. The velocity of the sphere at the lowest position is (Young's modulus of steel \(=2 \times 10^{11} \mathrm{Nm}^{-2}\) and acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )
- A \(10 \mathrm{~ms}^{-1}\)
- B \(12 \mathrm{~ms}^{-1}\)
- C \(15 \mathrm{~ms}^{-1}\)
- D \(18 \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(A) \(10 \mathrm{~ms}^{-1}\)
Step-by-step Solution
Detailed explanation
Extension in wire due to load and centrifugal force \( =\Delta l=(205-204.5) \mathrm{cm}=0.5 \mathrm{~cm} \) If velocity of sphere at lowest point is \(v\), then…
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
- If \(C\) the velocity of light, \(h\) Planck's constant and \(G\) gravitational constant are taken as fundamental quantities, then the dimensional formula of mass isAP EAMCET 2014 Easy
- Two point sources \(S_1\) and \(S_2\) are \(24 \mathrm{~cm}\) apart. Where should a convex lens of focal length \(9 \mathrm{~cm}\) be placed in between them, so that the images of both sources are formed at the same place?AP EAMCET 2017 Hard
- Assertion (A) Energy per unit volume and angular momentum can be added dimensionally.
Reason (R) Physical quantities having same dimensions can be added or subtracted.AP EAMCET 2018 Medium - In a Carnot engine, the absolute temperature of the source is \(25 \%\) more than the absolute temperature of the sink. The efficiency of the engine isAP EAMCET 2024 Easy
- If the pressure on a body is increased from 200 kPa to 250 kPa, the volume of the body decreases by \(0.25 \%\). The compressibility of the material of the body is (in \(\mathrm{m}^2 \mathrm{~N}^{-1}\) )AP EAMCET 2025 Medium
- In the adiabatic compression, the decrease in volume is associated withAP EAMCET 2008 Easy
More PYQs from AP EAMCET
- If \(0 < p < q\), then \(\lim _{n \rightarrow \infty}\left(q^n+p^n\right)^{1 / n}\) is equal to :AP EAMCET 2006 Medium
- \(\tan \frac{2 \pi}{7} \cdot \tan \frac{4 \pi}{7}+\tan \frac{4 \pi}{7} \cdot \tan \frac{\pi}{7}+\tan \frac{\pi}{7} \cdot \tan \frac{2 \pi}{7}=\)AP EAMCET 2025 Medium
- Let \(f(x)=(x-a)(x-b)-\left(\frac{a+b}{2}\right)\). If \(f(x)=0\) has both non-negative roots, then the minimum value of \(f(x)\).AP EAMCET 2018 Medium
- When the ideal gas is compressed isothermally, then its pressureAP EAMCET 2021 Easy
- The SI unit of length is 'metre'. Suppose we adopt a new unit of length which equals \(x\) metre. Then, the area of \(1 \mathrm{~m}^2\) expressed in terms of new unit has a magnitudeAP EAMCET 2020 Easy
- Match the following.
AP EAMCET 2021 Hard