Physics Waves & Oscillations questions from JEE Main 2018.
5 beats/ second are heard when a turning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either $0.95 \mathrm{~m}$ or $1 \mathrm{~m}$. The frequency of the fork will be:
A body of mass $M$ and charge $q$ is connected to a spring of spring constant $k$. It is oscillating along $x$-direction about its equilibrium position in the horizontal plane, taken to be at $x=0$, with an amplitude $A$. An electric field $E$ is applied along the $x$-direction. Which of the following statements is correct?
A granite rod of $60\mathrm{cm}$ length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is $2.7\times {10}^{3} \mathrm{kg}{m}^{-3}$ and its Young's modulus is $9.27\times {10}^{10} \mathrm{Pa}$. What will be the fundamental frequency of the longitudinal vibrations?
A particle executes simple harmonic motion and it is located at $x=a, b$ and $c$ at time ${t}_{0}, 2{t}_{0} and 3{t}_{0}$ respectively. The frequency of the oscillation is:
A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of ${10}^{12}{s}^{-1}$ . What is the force constant of the bonds connecting one atom with the other? (Mole wt. of silver,$=108g{\mathrm{mol}}^{-1}$ and Avogadro number $=6.02\times {10}^{23}$)
A tuning fork vibrates with frequency $256\mathrm{Hz}$ and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (speed of sound in air is $340m{s}^{-1}$)
A tuning fork vibrates with frequency $256 \mathrm{~Hz}$ and gives one best per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (Speed of sound of air is $340 \mathrm{~ms}^{-1}$ )
An oscillator of mass $M$ is at rest in its equilibrium position in a potential, $V=\frac{1}{2}k{(x –X)}^{2}$ . A particle of mass $m$ comes from the right with speed $u$ and collides completely inelastic with $M$ and sticks to it. This process repeats every time the oscillator crosses its equilibrium position. The amplitude of oscillations after $13$ collisions is: $(M=10,m=5,u=1,k=1)$
The end correction of a resonance column is $1\mathrm{cm}$. If the shortest length resonating with the tuning fork is $10\mathrm{cm}$, the next resonating length should be
Two simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures. $x(t)=A \sin (a t+\delta)$ $y(t)=B \sin (b t)$ Identify the correct match below
Two sitar strings, $A$ and $B$ playing the note '$Dha$' are slightly out of tune and produce beats of frequency $5\mathrm{Hz}$. The tension of the string $B$ is slightly increased and the beat frequency is found to decrease by $3\mathrm{Hz}$. If the frequency of $A$ is $425\mathrm{Hz}$. The original frequency of $B$ is