MCQ
The number of beats produced per second by two vibrations: $x_1 =x_0$ sin $646\pi t$ and $x_2 = x_0 sin 652 \pi t$ is
- A$2$
- ✓$3$
- C$4$
- D$6$
✓
Answer
Correct option: B.
$3$
b
(b) From the given equation ${\omega _1} = 2\pi {n_1} = 646\pi $==>${n_1} = 323$
(b) From the given equation ${\omega _1} = 2\pi {n_1} = 646\pi $==>${n_1} = 323$
and ${\omega _2} = 2\pi {n_2} = 652\pi $ ==> ${n_2} = 326$
Hence, beat frequency $ = 326 - 326 = 3$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Two persons $A$ & $B$ are throwing ball of $200\ g$ on wall as shown in figure. Balls strike wall perpendicularly at same point height $2\ m$ from ground. Ball strike wall elastically at same time and returns back to $A$ & $B$, at same time. They again repeat the same. What is the average force on wall ..................... $\mathrm{N}$ (take $g = 10\ m/s^2$)
→A body throws a ball upwards with velocity $v_0 = 20\, m/s$ . The wind imparts a horizontal acceleration of $4\, m/s^2$ to the ball. The angle $\theta $ from vertical at which the ball must be thrown so that the ball returns to the boy's hand is $(g = 10\, m/s^2)$
→A particle is moving in a straight line such that its velocity is increasing at $5\,ms ^{-1}$ per meter. The acceleration of the particle is $ms ^{-2}$ at a point where its velocity is $20\,ms ^{-1}$.
→A frictionless pulley is attached to one arm of a balance and a string passed around it carries two masses $m_1$ and $m_2$. The pulley is provided with $a$ clamp due to which $m_1$ and $m_2$ do not move $w.r.t.$ each other. On removing the clamp, if the counter mass restores balance, then acceleration of centre of mass of the masses $m_1$ and $m_2$ will have acceleration of magnitude ?
→When work is done on a body by an external force, its
The speed of sound in any gas depends upon
The lengths of the second pendulum at two places are/and/respectively the result of gravitational acceleration at those places $(g_1: g_2)$ will be :
→The radius in kilometer to which the present radius of earth $( R =6400\, km )$ to be compressed so that the escape velocity is increased $10$ time is ............$km$
→There is a hole of area $A$ at the bottom of cylindrical vessel. Water is filled up to a height $ h$ and water flows out in $ t $ second. If water is filled to a height $4h,$ it will flow out in time equal to
→A simple pendulum with a metallic bob has a time period $T$. The bob is now immersed in a non-viscous liquid and oscillated. If the density of the liquid is $1 / 4$ that of metal, the time period of the same pendulum will be ...........
→