Question
$A$ is singing a note and at the same time $B$ is singing a note with exactly one-eighth the frequency of the note of $A$. The energies of two sounds are equal, the amplitude of the note of $B$ is

Answer

(d) Energy $ \propto \,\,{a^2}{n^2}$

==> $\frac{{{a_B}}}{{{a_A}}} = \frac{{{n_A}}}{{{n_B}}}$ ($\because$  energy is same)

==> $\frac{{{a_B}}}{{{a_A}}} = \frac{8}{1}$

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

The wavefront of a distant source of unknown shape is approximately
A solid sphere, of radius $R$ acquires a terminal velocity $\nu_1 $ when falling (due to gravity) through a viscous fluid having a coefficient of viscosity $\eta $. The sphere is broken into $27$ identical solid spheres. If each of these spheres acquires a terminal velocity, $\nu_2$, when falling through the same fluid, the ratio $(\nu_1/\nu_2)$ equals
A $2\,V$ battery is connected across $AB$ as shown in the figure. The value of the current supplied by the battery when in one case battery's positive terminal is connected to $A$ and in other case when positive terminal of battery is connected to $B$ will respectively be
A body of mass $5\,kg$ is moving with a momentum of $10\,kg\,ms ^{-1}$. Now a force of $2\,N$ acts on the body in the direction of its motion for $5\,s$. The increase in the Kinetic energy of the body is $...........J$.
Kinetic energy of the emitted $\alpha-$ particle in the $\alpha -$ decay of ${{}_{88}^{226}Ra}$  will be,  .......... $MeV$

(where ${m_\alpha } = 4.00260\,u$, $m\left( {{}_{88}^{226}Ra} \right)=226.02540\,u$ and $m\left( {{}_{86}^{222}Rn} \right)=222.01750\,u)$

Two infinite planes each with uniform surface charge density $+\sigma$ are kept in such a way that the angle between them is $30^{\circ} .$ The electric field in the region shown between them is given by
A bob of mass $m$, suspended by a string of length $I_1$, is given a minimum velocity required to complete a full circle in the vertical plane, At the highest point, it collides elastically with another bob of mass $m$ suspended by a string of length $I_2$, which is initially at rest. Both the strings are mass-less and inextensible. If the second bob, after collision acquires the minimum speed required to complete a full circle in the vertical plane, the ratio $\frac{I_1}{I_2}$ is :
In a capillary tube, water rises by $1.2\, mm$. The height of water that will rise in another capillary tube having half the radius of the first, is ........ $mm$
A stone with weight $w$ is thrown vertically upward into the air from ground level with initial speed $v_0$. If a constant force $f$ due to air drag acts on the stone throughout its flight. The maximum height attained by the stone is
How many mole of formic acid are formed in the given reaction?