Download App

STD 11 - 14. waves and sound — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 14. waves and sound4 Marks
Question
A transverse wave propagating on the string can be described by the equation $y=2 \sin (10 x+300 t)$. where $x$ and $y$ are in metres and $t$ in second. If the vibrating string has linear density of $0.6 \times 10^{-3} \,g / cm$, then the tension in the string is .............. $N$
✓

Answer

(b)

$y=2 \sin (10 x+300 t)$

$y=A \sin (k x+\omega t)$

$k=10, \quad \omega=300$

$\mu=0.6 \times 10^{-3}\,g / cm$

$\mu=\frac{0.6 \times 10^{-3} \times 10^{-3}}{10^{-2}}\,kg / m$

$\mu=6 \times 10^{-5}\,kg / m$

$K=\frac{\omega}{V}$

$V=\frac{\omega}{K}=\frac{30 p}{T p}=30\,m / s$

$V=\sqrt{\frac{T}{M}}$

$T=V^2 \times M$

$T=(30)^2 \times 6 \times 10^{-5}$

$=900 \times 6 \times 10^5$

$=5400 \times 10^{-5}$

$=0.0541\,N$

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

The parameter that remains the same for molecules of all gases at a given temperature is :
→
Plate resistance of two triode valves is $2 \,K$$\Omega$ and $ 4 \,K$$\Omega$, amplification factor of each of the valves is $40$. The ratio of voltage amplification, when used with $4 \,K$$\Omega$load resistance, will be
→
A certain object is projected vertically from the surface of the earth of radius $R$ with a velocity equal to half the escape velocity. The maximum height attained by the object will be
→
A bus is moving with a velocity of $5 m/s$ towards a huge wall. the driver sounds a horn of frequency $165 Hz.$ If the speed of sound in air is $355 m/s,$ the number of beats heard per second by a passenger on the bus will be
→
Two balls are thrown horizontally from the top of a tower with velocities $v_1$ and $v_2$ in opposite directions at the same time. After how much time the angle between velocities of balls becomes $90^o$ ?
→
A telephone wire of length $200\, km$ has a capacitance of $0.014\, \mu$$F$ per km. If it carries an ac of frequency $5\, kHz$, what should be the value of an inductor required to be connected in series so that the impedance of the circuit is minimum.......$mH$
→
A rectangular coil $20\,cm \times 20\,cm$ has $100$ $turns$ and carries a current of $1\, A$. It is placed in a uniform magnetic field $B =0.5\, T$ with the direction of magnetic field parallel to the plane of the coil. The magnitude of the torque required to hold this coil in this position is........$N-m$
→
A metal rod of length $1\,m$ is rotated about one of its ends in a plane right angles to a field of inductance $2.5 \times 10^{-3}\,Wb / m ^2$. If it makes $1800 $ revolutions $min$. Calculate induced e.m.f. between its ends$..........V$
→
If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of $512 Hz$, first resonance was observed at $30.7 cm$ and second was obtained at $63.2 cm$, then maximum possible error in velocity of sound is .....$cm/sec$ (consider actual speed of sound in air is $332 m/s$)
→
The current $I$ in the given circuit will be $......A$
→