Different Forms of Equations

Q. If potential energy density is twice the average rate of transmission of potential energy. The speed of transverse wave is

1. $0.5\text{m/s}$
2. $2\text{m/s}$
3. $5\text{m/s}$
4. $1\text{m/s}$

Q. Which of the following expressions represents a simple harmonic progressive wave?

1. $\text{A sin}\omega t$
2. $\text{A sin}\omega \text{t cos kx}$
3. $\text{A sin}(\omega t-kx)$
4. $\text{Acos kx}$

Q. Two waves propagating in a given medium are represented by the curve shown below.

Find the ratio of average potential energy per unit length of wave $1$ is to wave $2$. All measurements are in $\text{S.I}$ unit.

1. $1$
2. $1/2$
3. $1/4$
4. $1/8$

Q. Average total energy density for a transverse wave is $16\text{J/m}$. The average kinetic energy density for the corresponding wave will be

1. $4\text{J/m}$
2. $2\text{J/m}$
3. $8\text{J/m}$
4. $16\text{J/m}$

Q. Two waves propagating in a given medium are represented by the curve shown below.

Find the ratio of average potential energy per unit length of wave $1$ is to wave $2$. All measurements are in $\text{S.I}$ unit.

1. $1$
2. $1/2$
3. $1/4$
4. $1/8$

Q. A wave is propagating on a long stretched string. If the cross-sectional area of string is doubled then average power associated with wave becomes

1. twice of its initial value
2. half of its initial value
3. four times of its initial value
4. none of these