A heavy ball of mass $M$ is suspended from the ceiling of car by a light string of mass $m (m << M)$. When the car is at rest, the speed of transverse waves in the string is $60\, ms^{-1}$. When the car has acceleration $a$ , the wave-speed increases to $60.5\, ms^{-1}$. The value of $a$ , in terms of gravitational acceleration $g$ is closest to
JEE MAIN 2019, Diffcult
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 stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes with the same speed (much less than the speed of sound). The observer hears $2\; beats/sec$. The oscillation frequency of each tuning fork is $v_{0}=1400 \;\mathrm{Hz}$ and the velocity of sound in air is $350\; \mathrm{m} / \mathrm{s}$. The speed of each tuning fork is close toView Solution
- 2A source of sound is travelling at $\frac{{100}}{3}\,m/\sec $ along a road, towards a point $A$, when the source is $3\, m$ away from $A$, a person standing at a point $O$ on a road at perpendicular position. The distance of $O$ from $A$ at that time is $4\,m$. If the original frequency is $640\, Hz$,then the value of apperent frequency listen by person is ...... $Hz$ (speed of sound is $340\, m/sec$)View Solution
- 3A transverse sinusoidal wave moves along a string in the positive $x-$ direction at a speed of $10\, cm/s$. The wavelength of the wave is $0.5\, m$ and its amplitude is $10\, cm$. At a prticular time $t$, the snap-shot of the wave is shown in the figure. the velocity of point $P$ when its displacement is $5\, cm$, isView Solution
- 4A tuning fork arrangement (pair) produces $4$ beats/sec with one fork of frequency $288\, cps$. A little wax is placed on the unknown fork and it then produces $2\; beats/sec$. The frequency of the unknown fork is .... $cps$View Solution
- 5View SolutionUltrasonic waves are those waves
- 6In an experiment with sonometer a tuning fork of frequency $256 Hz$ resonates with a length of $25 cm$ and another tuning fork resonates with a length of $16 cm$. Tension of the string remaining constant the frequency of the second tuning fork is .... $Hz$View Solution
- 7A tuning fork of frequency $340\,Hz$ resonates in the fundamental mode with an air column of length $125\,cm$ in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is________ $cm$View Solution
(Velocity of sound in air is $340\,ms ^{-1}$ )
- 8While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of $18\ cm$ during winter. Repeating the same experiment during summer, she measures the column length to be $x\ cm$ for the second resonance. ThenView Solution
- 9A light wave travels through three transparent materials of equal thickness. Rank in order, from the highest to lowest, the indices of refraction $n_1, n_2$ and $n_3$.View Solution
- 10A stationary source emits sound of frequency $\mathrm{f}_0=492 \mathrm{~Hz}$. The sound is reflected by a large car approaching the source with a speed of $2 \mathrm{~ms}^{-1}$. The reflected signal is received by the soruce and superposed with the original. What will be the beat frequency of the resulting signal in $\mathrm{Hz}$ ? (Given that the speed of sound in air is $330 \mathrm{~ms}^{-1}$ and the car reflects the sound at the frequency it has received).View Solution