MCQ
If speed of sound in air in $330 \,m / s$ then, find the number of tones present in an open organ pipe of length $1\, m$ whose frequency if $\leq 1000$.
  • A
    $2$
  • B
    $4$
  • C
    $8$
  • $6$

Answer

Correct option: D.
$6$
d
The expression of fundamental frequency is given by.

$f=\frac{v}{2 \ell}$

Substitute the values as,

$f=\frac{330}{2 \times 1}$

$=165 Hz$

Calculate the number of overtones allowed as,

$n =\frac{1000}{165}$

$=6$

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

Similar questions

A thin but rigid semicircular wire frame of radius $r$ is hinged at $O$ and can rotate in its own vertical plane. A smooth peg $P$ starts from $O$ and moves horizontally with constant speed $v_0$, lifting the frame upward as shown in figure.Find the angular velocity $\omega$ of the frame when its diameter makes an angle of $60^{\circ}$ with the vertical :
A solid circular disc of mass $50 \mathrm{~kg}$ rolls along a horizontal floor so that its center of mass has a speed of $0.4 \mathrm{~m} / \mathrm{s}$. The absolute value of work done on the disc to stop it is____ $\mathrm{J}$.
Unit of energy is
A body of mass $2\, kg$ moving on a horizontal surface with an initial velocity of $4 \,m/sec$ comes to rest after $2\, sec$. If one wants to keep this body moving on the same surface with a velocity of $4\, m/sec$, the force required is ........ $N$
A stone is released with acceleration $'a'$ from an upwardy moving left. Find out the acceleration and direction of the stone.
The ends of a rope are held by two men who pulls on it with equal and opposite forces of  magnitude $F$ each. Then the tension in the rope is 
Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom. The gas is maintained at a temperature of $T$. The total internal energy, $U$ of a mole of this gas, and the value of $\gamma\left(=\frac{ C _{ P }}{ C _{ v }}\right)$ given, respectively, by
Which of the following is the graph between the height $(h)$ of a projectile and time $(t)$, when it is projected from the ground
Ice starts forming in lake with water at ${0^o}C$ and when the atmospheric temperature is $ - {10^o}C$. If the time taken for $1 \;cm$ of ice be $7$ hours, then the time taken for the thickness of ice to change from $1\; cm$ to $2\; cm$ is
Following operations can be performed on a capacitor:
$X -$ connect the capacitor to a battery of emf $\in.$
$Y -$ disconnect the battery.
$Z -$ reconnect the battery with polarity reversed.
$W -$ insert a dielectric slab in the capacitor.