Question
A string of length $2 m$ is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of $500 Hz$ then the waves would travel on its with a velocity of ..... $m/s$
✓
Answer
(c) For string $\lambda = \frac{{2l}}{p}$
where $p =$ No. of loops = Order of vibration
Hence for forth mode $p = 4$
where $p =$ No. of loops = Order of vibration
Hence for forth mode $p = 4$
==> $\lambda = \frac{l}{2}$
Hence $v = n\lambda = 500 \times \frac{2}{2} = 500\,Hz$
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
A potentiometer is connected between $A$ and $B$ and the balance point is obtained at $203. 6\,cm$. When the end of the potentiometer connected to $B$ is shifted to $C$, then the balance point is obtained at $24.6\,cm$. If now the potentiometer be connected between $B$ and $C$, the balance point will be at ................. $cm$
→Wires $P $ and $Q$ have the same resistance at ordinary (room) temperature. When heated, resistance of $P$ increases and that of $Q$ decreases. We conclude that
→Which of the following figures represent the variation of particle momentum and the associated de-Broglie wavelength?
In order to test the strength of a rope, one end is tied to a large tree and the other end is hitched to a team of $2$ horses. The horse pull as hard as they can, but cannot break the rope. If the rope is untied from the tree and attached to another team of $2$ horses with equal strength, and the two teams pull in opposite directions, the tension in the rope will
→If impulse $I$ varies with time $t$ as $I\left( kg ms ^{-1}\right)=20 f^2-40 t$. The change in momentum is minimum at ........... $s$
→Which of the following has a negative temperature coefficient
A cricketer can throw a ball to a maximum horizontal distance of $100\, m$. The speed with which he throws the ball is ......... $ms^{-1}$ (to the nearest integer)
→A $1\,m$ long metal rod $XY$ completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density $0.15\,T$. If the resistance of the circuit is $5\,\Omega$, the force needed to move the rod in direction, as indicated, with a constant speed of $4\,m / s$ will be $................\,10^{-3}\,N$
→If $R$ is the Rydberg’s constant for hydrogen the wave number of the first line in the Lyman series will be
→A room (cubical) is made of mirrors. An insect is moving along the diagonal on the floor such that the velocity of image of insect on two adjacent wall mirrors is $10 cms^{-1}$. The velocity of image of insect in ceiling mirror is
→