MCQ
$41$ forks are so arranged that each produces $5$ beats per sec when sounded with its near fork. If the frequency of last fork is double the frequency of first fork, then the frequencies of the first and last fork are respectively
  • $200, 400$
  • B
    $205, 410$
  • C
    $195, 390$
  • D
    $100, 200$

Answer

Correct option: A.
$200, 400$
a
(a) $n_{First} = n_{First} + (N -1)x$ 

$2n = n + (41 -1) × 5$

$\Rightarrow$ $n_{First} = 200 Hz$ and $n_{Last} = 400 Hz$

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

This question has Statement $1$ and Statement $2$ .Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement $1$ : Bats emitting ultrasonic waves can detect the location of a prey by hearing the waves reflected from it.
Statement $2$ : When the source and the detector are moving, the frequency of reflected waves is changed
A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc
In which case, work done will be zero:
From a circular disc of radius $R$ and mass $9M$, a small disc of mass $M$ and radius $\frac{R}{3}$ is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is
Let kinetic energy of a satellite is $x$, then its time of revolution $T$ is proportional to ..............
The initial position of an object at rest is given by $3 \hat{i}-8 \hat{j}$ It moves with constant acceleration and reaches to the position $2 \hat{i}+4 \hat{j}$ after $4 \,s$. What is its acceleration?
A disc of mass $m$ and radius $R$ is attached to celling with the help of ropes of length $l$. Find the time period of small oscillation of disc in the plane of disc.
A circular metallic ring of radius $R$ has a small gap of width $d$. The coefficient of thermal expansion of the metal is $\alpha$ in appropriate units. If we increase the temperature of the ring by an amount $\Delta T$, then width of the gap
During propagation of a plane progressive mechanical wave:
A small electric car has a maximum constant acceleration of $1\,m / s ^2$, a maximum constant deceleration of $2\,m / s ^2$ and a maximum speed of $20\,m / s$. The amount of time it would take to drive this car $1\,km$ starting from rest and finishing at rest is $.........\,s$