172160 A given metal wire has length $1 \mathrm{~m}$, linear density $0.6 \mathrm{~kg} / \mathrm{m}$ and uniform cross-sectional area $10^{-7} \mathrm{~m}^{2}$ is fixed at both ends. The temperature of wire is decreased by $40^{\circ} \mathrm{C}$. The fundamental frequency of the transverse wave is $Y=2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$, coefficient of linear expansion of metal is $=1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}$

172162 The equation of a wave is given by $y=10$ $\sin \left(\left(\frac{2 \pi}{45}\right) t+\alpha\right)$. If the displacement at $t=0 \mathrm{~s}$ is $5 \mathrm{~cm}$, then the total phase at $\mathrm{t}=7.5 \mathrm{~s}$ is

172164 Two waves are represented by $x_{1}=A \sin \left(\omega t+\frac{\pi}{6}\right)$ and $x_{2}=A \cos \omega t$. Then the phase difference between them is

172165 Match the following
| Column-I | Column-II |
| :--- | :--- |
| (A) Transverse wave
through a steel rod | (i) $\sqrt{B+\left(\frac{4}{3}\right) \underline{\eta}}$ |
| (B) Longitudinal waves in
earth's crust | (ii) $\sqrt{\frac{\eta}{\rho}}$ |
| (C) Longitudinal waves
through a steel rod | (iii) $\sqrt{\frac{2 \pi T}{g \lambda}}$ |
| (D) Ripples | (iv) $\sqrt{\frac{\lambda}{\rho}}$ |

172160 A given metal wire has length $1 \mathrm{~m}$, linear density $0.6 \mathrm{~kg} / \mathrm{m}$ and uniform cross-sectional area $10^{-7} \mathrm{~m}^{2}$ is fixed at both ends. The temperature of wire is decreased by $40^{\circ} \mathrm{C}$. The fundamental frequency of the transverse wave is $Y=2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$, coefficient of linear expansion of metal is $=1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}$

172162 The equation of a wave is given by $y=10$ $\sin \left(\left(\frac{2 \pi}{45}\right) t+\alpha\right)$. If the displacement at $t=0 \mathrm{~s}$ is $5 \mathrm{~cm}$, then the total phase at $\mathrm{t}=7.5 \mathrm{~s}$ is

172164 Two waves are represented by $x_{1}=A \sin \left(\omega t+\frac{\pi}{6}\right)$ and $x_{2}=A \cos \omega t$. Then the phase difference between them is

172165 Match the following
| Column-I | Column-II |
| :--- | :--- |
| (A) Transverse wave
through a steel rod | (i) $\sqrt{B+\left(\frac{4}{3}\right) \underline{\eta}}$ |
| (B) Longitudinal waves in
earth's crust | (ii) $\sqrt{\frac{\eta}{\rho}}$ |
| (C) Longitudinal waves
through a steel rod | (iii) $\sqrt{\frac{2 \pi T}{g \lambda}}$ |
| (D) Ripples | (iv) $\sqrt{\frac{\lambda}{\rho}}$ |

172160 A given metal wire has length $1 \mathrm{~m}$, linear density $0.6 \mathrm{~kg} / \mathrm{m}$ and uniform cross-sectional area $10^{-7} \mathrm{~m}^{2}$ is fixed at both ends. The temperature of wire is decreased by $40^{\circ} \mathrm{C}$. The fundamental frequency of the transverse wave is $Y=2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$, coefficient of linear expansion of metal is $=1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}$

172162 The equation of a wave is given by $y=10$ $\sin \left(\left(\frac{2 \pi}{45}\right) t+\alpha\right)$. If the displacement at $t=0 \mathrm{~s}$ is $5 \mathrm{~cm}$, then the total phase at $\mathrm{t}=7.5 \mathrm{~s}$ is

172164 Two waves are represented by $x_{1}=A \sin \left(\omega t+\frac{\pi}{6}\right)$ and $x_{2}=A \cos \omega t$. Then the phase difference between them is

172165 Match the following
| Column-I | Column-II |
| :--- | :--- |
| (A) Transverse wave
through a steel rod | (i) $\sqrt{B+\left(\frac{4}{3}\right) \underline{\eta}}$ |
| (B) Longitudinal waves in
earth's crust | (ii) $\sqrt{\frac{\eta}{\rho}}$ |
| (C) Longitudinal waves
through a steel rod | (iii) $\sqrt{\frac{2 \pi T}{g \lambda}}$ |
| (D) Ripples | (iv) $\sqrt{\frac{\lambda}{\rho}}$ |

172160 A given metal wire has length $1 \mathrm{~m}$, linear density $0.6 \mathrm{~kg} / \mathrm{m}$ and uniform cross-sectional area $10^{-7} \mathrm{~m}^{2}$ is fixed at both ends. The temperature of wire is decreased by $40^{\circ} \mathrm{C}$. The fundamental frequency of the transverse wave is $Y=2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$, coefficient of linear expansion of metal is $=1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}$

172162 The equation of a wave is given by $y=10$ $\sin \left(\left(\frac{2 \pi}{45}\right) t+\alpha\right)$. If the displacement at $t=0 \mathrm{~s}$ is $5 \mathrm{~cm}$, then the total phase at $\mathrm{t}=7.5 \mathrm{~s}$ is

172164 Two waves are represented by $x_{1}=A \sin \left(\omega t+\frac{\pi}{6}\right)$ and $x_{2}=A \cos \omega t$. Then the phase difference between them is

172165 Match the following
| Column-I | Column-II |
| :--- | :--- |
| (A) Transverse wave
through a steel rod | (i) $\sqrt{B+\left(\frac{4}{3}\right) \underline{\eta}}$ |
| (B) Longitudinal waves in
earth's crust | (ii) $\sqrt{\frac{\eta}{\rho}}$ |
| (C) Longitudinal waves
through a steel rod | (iii) $\sqrt{\frac{2 \pi T}{g \lambda}}$ |
| (D) Ripples | (iv) $\sqrt{\frac{\lambda}{\rho}}$ |