Question
The pendulum of a clock is replaced by a spring-mass system with the spring having spring constant 0.1N/m. What mass should be attached to the spring?
✓
Answer
$\text{k}=0.1\text{N/m}$
$\text{T}=2\pi\sqrt{\frac{\text{m}}{\text{k}}}=2\sec$ [Time period of pendulum of a clock = 2 sec]
So, $4\pi^{2+}\Big(\frac{\text{m}}{\text{k}}\Big)=4$
$\therefore\text{m}=\frac{\text{k}}{\pi^2}=\frac{0.1}{10}=0.01\text{kg}\approx10\text{gm}.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Explain ground state and ionisation energy of hydrogen atom.
Consider a gold nucleus to be a sphere of radius 6.9 fermi in which protons and neutrons are distributed. Find the force of repulsion between two protons situated at largest separation. Why do these protons not fly apart under this repulsion?
Two metal strips, each of length l, are clamped parallel to each other on a horizontal floor with a separation b between them. A wire of mass m lies on them perpendicularly, as shown in A vertically-upward magnetic field of strength B exists in the space. The metal strips are smooth but the coefficient of friction between the wire and the floor is $\mu.$ A current i is established when the switch S is closed at the instant t = 0. Discuss the motion of the wire after the switch is closed. How far away from the strips will the wire reach?
→The drift current in a p-n junction is $20.0\mu\text{A}.$ Estimate the number of electrons crossing a cross-section per second in the depletion region.
→In a potentiometer arrangement, a cell of emf 1.25 V gives a balance point at 35.0 cm length of the wire. If the cell is replaced by another cell and the balance point shifts to 63.0 cm, what is the emf of the second cell?
The luminous flux of a monochromatic source of 1W is 450 lumen/ watt. Find the relative luminosity at the wavelength emitted.
Calculate the torque on the square plate of the previous problem if it rotates about a diagonal with the same angular acceleration.
Drive the equation of Energy stored in capacitor $\left( U =\frac{ Q ^2}{2 C }\right)$
→A telescope has been adjusted for relaxed eye. You are asked to adjust it for least distance of distinct vision, then how will you change the distance between two lenses?
A radioactive nucleus A undergoes a series of decay according to following scheme:
$\text{A}\ \xrightarrow{\ \alpha\ }\ \text{A}_1\ \xrightarrow{\ \beta\ }\ \text{A}_2\ \xrightarrow{\ \alpha\ }\ \text{A}_3\ \xrightarrow{\ \text{g}\ }\ \text{A}_4$
The mass number and atomic number of A are 180 and 72 respectively. What are these numbers for A4?
→$\text{A}\ \xrightarrow{\ \alpha\ }\ \text{A}_1\ \xrightarrow{\ \beta\ }\ \text{A}_2\ \xrightarrow{\ \alpha\ }\ \text{A}_3\ \xrightarrow{\ \text{g}\ }\ \text{A}_4$
The mass number and atomic number of A are 180 and 72 respectively. What are these numbers for A4?