An open pipe of length $l$ vibrates in fundamental mode. The pressure variation is maximum at
A$1/4$ from ends
B
The middle of pipe
C
The ends of pipe
DAt $1/8$ from ends of pipe middle of the pipe
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B
The middle of pipe
b (b) At the middle of pipe, node is formed.
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A transverse wave is described by the equation $y = A \,\,sin\,[2\pi (f t - x/\lambda ) ]$.The maximum particle velocity is equal to four times the wave velocity if:
$Assertion :$ When a beetle moves along the sand within a few tens of centimeters of a sand scorpion, the scorpion immediately turns towards the beetle and dashes towards it
$Reason :$ When a beetle disturbs the sand, it sends pulses along the sand's surface. One set of pulses is longitudinal while the other set is transverse.
A car $P$ approaching a crossing at a speed of $10\, m/s$ sounds a horn of frequency $700\, Hz$ when $40\, m$ in front of the crossing. Speed of sound in air is $340\, m/s$. Another car $Q$ is at rest on a road which is perpendicular to the road on which car $P$ is reaching the crossing (see figure). The driver of car $Q$ hears the sound of the horn of car $P$ when he is $30\, m$ in front of the crossing. The apparent frequency heard by the driver of car $Q$ is .... $Hz$
When an air column at $15\,^oC$ and a tunning fork are sounded together then $4$ beats per second are produced, the frequency of the fork is less then that of air column. When the temperature falls to $10\,^oC$ , then the beat frequency decreases by one. The frequency of the fork will be ..... $Hz$ $[V_{sound}$ at $0\,^oC = 332\,m/s]$
Two trains are moving towards each other at speeds of $20 m/s$ and $15 m/s$ relative to the ground. The first train sounds a whistle of frequency $600 Hz.$ the frequency of the whistle heard by a passenger in the second train before the train meets is ...... $Hz$ (the speed of sound in air is $340\, m/s$)
$Assertion :$ The pitch of wind instruments rises and that of string instruments falls as an orchestra warms up.
$Reason :$ When temperature rises, speed of sound increases but speed of wave in a string fixed at both ends decreases.
Suppose that the speed of sound in air at a given temperature is $400 m/sec$. An engine blows a whistle at $1200 Hz$ frequency. It is approaching an observer at the speed of $100 m/sec$. What is the apparent frequency as heard by the observer .... $Hz$