Both the strings, shown in figure are made of same material and h… - Vidyadip

MCQ

Both the strings, shown in figure are made of same material and have same cross $-$ section. The pulleys are light. The wave speed of a transverse wave in the string $AB$ is $\nu_1$ and in $CD$ it is $\nu_2.$ Then $\frac{\nu_1}{\nu_2}$ is:

A
$1$
B
$2$
C
$\sqrt{2}$
✓
$\frac{1}{\sqrt{2}}.$

✓

Answer

Correct option: D.

$\frac{1}{\sqrt{2}}.$

$T_{AB}= T$
$T_{CD}= 2T$
where
$T_{AB}$ is the tension in the string $AB$
$T_{CD}$ is the tension in the stnng $CD$
The eelatlon between tension and the wave speed is given by
$\text{v}=\sqrt{\frac{\text{T}}{\mu}}$
$\text{v}\propto\sqrt{\text{T}}$
where
$v$ is the wave speed of the transverse wave
$\mu$ is the mass per unit length of the string
$\frac{\text{v}_1}{\text{v}_2}=\sqrt{\frac{\text{T}}{2\text{T}}}$
$=\frac{1}{\sqrt{2}}$

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

Explore more

More "M.C.Q (1 Marks)" from Wave Motion and Waves on a String→Wave Motion and Waves on a String — all question types→Physics STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

A copper ring is suspended by a thread in a vertical plane. If one end of a magnet is brought horizontally towards the ring in plane of ring as shown, the ring will.

Which of the following pairs has quantities of the same dimensions?

Zener diode is used for:

Nuclear fusion occur in.

$\mathrm{M}_{\mathrm{x}}$ and $\mathrm{M}_{\mathrm{y}}$ denote the atomic masses of the parent and the daughter nuclei respectively in a radioactive decay. The $Q -$value for a $\beta^{-}$decay is $Q_1$ and that for a $\beta^{+}$decay is $Q_2$. If me denotes the mass of an electron, then which of the following statements is correct?

Two vertical plane mirrors are inclined at an angle of $60^\circ $ with each other. A ray of light travelling horizontally is reflected first from one mirror and then from the other. The resultant deviation is.....$^o$

The graph shows how the magnification $m$ produced by a convex thin lens varies with image distance $v$. What was the focal length of the used

The output in the circuit of figure is taken across a capacitor. It is as shown in figure

The energy stored in a $50 \,mH$ inductor carrying a current of $4 \,A$ will be....$J$

A photoelectric surface is illuminated successively by monochromatic light of wavelength $\lambda$ and $\lambda /2$. If the maximum kinetic energy of the emitted photoelectrons in the second case is $3$ times that in the first case, the work function of the surface of the material is
$(h =$ Planck's constant, $c =$ speed of light $)$