MCQ
Two identical wires have the same fundamental frequency of $400 Hz$. when kept under the same tension. If the tension in one wire is increased by $2\%$ the number of beats produced will be
  • $4$
  • B
    $2$
  • C
    $8$
  • D
    $1$

Answer

Correct option: A.
$4$
a
(a) $n \propto \sqrt T $ ==> $\frac{{\Delta n}}{n} = \frac{1}{2}\frac{{\Delta T}}{T}$

Beat frequency $ = \Delta n = \left( {\frac{1}{2}\frac{{\Delta T}}{T}} \right)\,n = \frac{1}{2} \times \frac{2}{{100}} \times 400 = 4$

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 clock has $75 \mathrm{~cm}, 60 \mathrm{~cm}$ long second hand and minute hand respectively. In $30$ minutes duration the tip of second hand will travel $x$ distance more than the tip of minute hand. The value of $x$ in meter is nearly (Take $\pi=3.14$ ) :
If $x = a\sin \left( {\omega t + \frac{\pi }{6}} \right)$ and $x' = a\cos \omega t$, then what is the phase difference between the two waves
A block of mass $m_1 = 2\,\,kg$  on a smooth inclined plane at angle $30^o$  is connected to a second block of mass $m_2 = 3\,\,kg$  by a cord passing over a frictionless pulley as shown in fig. The acceleration of each block is ....... $m/sec^2$  (assume $g = 10\,\,m/sec^2$ )
A cell $E _{1}$ of $emf 6 V$ and internal resistance $2 \Omega$ is connected with another cell $E _{2}$ of $emf 4 V$ and internal resistance $8 \Omega$ (as shown in the figure). The potential difference across points $X$ and $Y$ is............ $V$
Match List$-I$ with List$-II$

  List$-I$   List$-II$
$(a)$ Phase difference between current and voltage in a purely resistive $AC$ circuit $(i)$ $\frac{\pi}{2} ;$ current leads voltage
$(b)$ Phase difference between current and voltage in a pure inductive $AC$ circuit $(ii)$ zero
$(c)$ Phase difference between current and voltage in a pure capacitive $AC$ circuit $(iii)$ $\frac{\pi}{2} ;$ current lags voltage
$(d)$ Phase difference between current and voltage in an $LCR$ series circuit $(iv)$ $\tan ^{-1}\left(\frac{X_{C}-X_{L}}{R}\right)$

Choose the most appropriate answer from the options given below:

Two quantities $A$ and $B$ have different dimensions. Which mathematical operation given below is physically meaningful
A very long solenoid of radius $R$ is carrying current $I\left( t \right) = kt{e^{ - \alpha t}}\,\left( {k > 0} \right)$ , as a function of time $(t  \geq  0)$. counter clockwise current is taken to be positive. A circular conducting coil of radius $2R$ is placed in the equatorial plane of the solenoid and concentric with the solenoid. The current induced in the outer coil is correctly depicted, as a function of time, by
In Bohr’s model of hydrogen atom, which of the following pairs of quantities are quantized
Two moles of helium are mixed with $n$  with moles of hydrogen. If $\frac{{{C_P}}}{{{C_V}}}\, = \,\frac{3}{2}$  for the mixture, then the value of $n$  is
The plates of a parallel plate capacitor of capacity $50\,\mu C$ are charged to a potential of $100\;volts$ and then separated from each other so that the distance between them is doubled. How much is the energy spent in doing so