A string is producing transverse vibration whose equation is $y = 0.021\;\sin (x + 30t)$, Where $x$ and $y$ are in meters and $t$ is in seconds. If the linear density of the string is $1.3 \times {10^{ - 4}}\,kg/m,$ then the tension in the string in $N$ will be
Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A particle of mass $5 × 10^{-5}\ kg$ is placed at lowest point of smooth parabola $x^2$ = $40y$ ($x$ and $y$ in $m$) (in $rad/s$). If it is displaced slightly such that it is constrained to move along parabola, angular frequency of oscillation will be approximatelyView Solution
- 2A string fixed at both ends is in resonance in its $2^{nd}$ harmonic with a tuning fork of frequency $f_1$. Now its one end becomes free. If the frequency of the tuning fork is increased slowly from $f_1$ then again a resonance is obtained when the frequency is $f_2$. If in this case the string vibrates in $n^{th}$ harmonic thenView Solution
- 3A pipe open at both ends produces a note of frequency $f_1$. When the pipe is kept with $\frac{3}{4}$th of its length it water, it produced a note of frequency $f_2$. The ratio $\frac{{{f_1}}}{{{f_2}}}$ isView Solution
- 4A tuning fork and a sonometer wire were sounded together and produce $4$ beats per second. When the length of sonometer wire is $95 cm$ or $100 cm,$ the frequency of the tuning fork is ..... $Hz$View Solution
- 5$Assertion :$ The base of Laplace correction was that exchange of heat between the region of compression and rarefaction in air is negligible.View Solution
$Reason :$ Air is bad conductor of heat and velocity of sound in air is quite large. - 6A particle on the trough of a wave at any instant will come to the mean position after a time ($T =$ time period)View Solution
- 7The relation between frequency $‘n’$ wavelength ‘$\lambda$’ and velocity of propagation $‘v’$ of wave isView Solution
- 8A standing wave $y = A sin \left( {\frac{{20}}{3}\pi \,x} \right) cos (1000\pi t)$ is maintained in a taut string where y and $x$ are expressed in meters. The distance between the successive points oscillating with the amplitude $A/2$ across a node is equal to ... $cm$View Solution
- 9View SolutionA medium can carry a longitudinal wave because it has the property of
- 10View SolutionThe waves in which the particles of the medium vibrate in a direction perpendicular to the direction of wave motion is known as