The fundamental frequency of vibration of a string stretched betw… - Vidyadip

MCQ

The fundamental frequency of vibration of a string stretched between two rigid support is $50\,Hz$. The mass of the string is $18\,g$ and its linear mass density is $20\,g / m$. The speed of the transverse waves so produced in the string is $..........\,ms ^{-1}$

✓
$90$
B
$45$
C
$30$
D
$15$

✓

Answer

Correct option: A.

$90$

a
Fundamental frequency $=50\,Hz$

$\frac{mass}{length}$=$\frac{20 g}{m}$

mass$=18\,g$

length of string $=\frac{18}{20} m =\frac{9}{10} m$

from diagram $\frac{\lambda}{2}=\ell$

$\Rightarrow \lambda=2 \ell=\frac{9}{5}\,m$

again speed $v=f \lambda=50 \times \frac{9}{5}=90\,m / s$

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

NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A ray incident a ${15^o}$ on one refracting surface of a prism of angle ${60^o}$, suffers a deviation of ${55^o}$. What is the angle of emergence

A $LCR$ circuit behaves like a damped harmonic oscillator. Comparing it with a physical springmass damped oscillator having damping constant $\mathrm{b}$, the correct equivalence would be:

Ge and Si diodes conduct at $0.3 \,V$ and $0.7\, V$ respectively. In the following figure if Ge diode connection are reversed, the valve of $V0$ changes by.....$V$

A particle is travelling $4$ times as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is $2: 1,$ the mass of the particle is

The-relation between the magnetic susceptibility and the magnetic permeability is

A hollow conducting sphere of inner radius $R$ and outer radius $2R$ is given a charge $Q$ as shown in the figure, then the :

A mass m is suspended from a spring of length l and force constant $K$. The frequency of vibration of the mass is ${f_1}$. The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is ${f_2}$. Which of the following relations between the frequencies is correct

If wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5 \times {10^{ - 6}}m$ and ${10^{ - 4}}m$ respectively, the ratio of their temperatures is

The value of alternating emf $E$ in the given circuit will be......$V$

A particle moves $21\, m$ along the vector $6\hat i + 2\hat j + 3\hat k$ , then $14\, m$ along the vector $3\hat i - 2\hat j + 6\hat k$ . Its total displacement (in meters) is