The tension of a wire is 2.5 kg. When the load increase its frequ… - Vidyadip

Question

The tension of a wire is 2.5 kg. When the load increase its frequency changes to 3: 2. Find the original stress.

✓

Answer

Let original stress is T.
$n=\frac{1}{2 l} \sqrt{\frac{T}{m}}\ldots\ldots (1)$
To increase 2.5 kilogram then frequency is equal to
$\frac{3}{2} n .$
$\frac{3}{2} n=\frac{1}{2 l} \sqrt{\frac{T+2.5}{m}}\ldots\ldots (2)$
Divide equation (1) and (2)
$\Rightarrow \frac{2}{3}=\sqrt{\frac{T}{T+2.5}}$
Taking square both side
$\frac{4}{9}=\frac{T}{T+2.5}$
$4 T+10=9 T$
$10=9 T-4 T$
$5T=10$
$T=\frac{10}{5}=2 kg \cdot w t$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from PART - 2 CH - 14 Waves→PART - 2 CH - 14 Waves — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The contact angle between pure water and pure silver is $90^º$. If a capillary tube made of silver is dipped at one end in pure water, will the water rise in the capillary?

Find the average magnitude of linear momentum of a helium molecule in a sample of helium gas at $0^{\circ} \mathrm{C}$. Mass of a helium molecule $=6.64 \times 10^{-27} \mathrm{~kg}$ nd Boltzmann constant $=1.38 \times 10^{-23} \mathrm{JK}^{-1}$.

The force on a north pole,$\overrightarrow{\text{F}}=\text{m}\overrightarrow{\text{B}},$ is parallel to the field $\overrightarrow{\text{B}}.$ Does it contradict our earlier knowledge that a magnetic field can exert forces only perpendicular to itself?

Light falls from glass $(\mu=1.5)$ to air. Find the angle of incidence for which the angle of deviation is 90°.

A mass of $6 \times 10^{24}kg$ (equal to the mass of the earth) is to be compressed in a sphere in such a way that the escape velocity from its surface is $3 \times 10^8m/s$. What should be the radius of the sphere?

The diameter of an oxygen molecule is approximately $3 \text Å $. Calculate the mean free path of oxygen molecules and the mean time taken between collisions at normal temperature and pressure. At normal temperature and pressure the number of molecules per cubic is $3 \times 10^{19}$.

Explain the terms: Young's modulus of elasticity and elastic fatigue.

How is the speed of sound waves in atmosphere affected by the humidity and temperature?

Draw a graph showing the variation of potential energy and kinetic energy with respect to height of a free fall under gravitational force.

A particle performing simple harmonic motion makes 1200 oscillations per minute and its velocity while passing through the mean position is $3.14 m / s$ lives. Also obtain the displacement equation of the particle if the displacement at moment $t=0$.