Different Forms of Equations

Q. The amplitude of wave does not depend on frequency.

1. False
2. True

Q. For a transverse wave
Statement $1$ : Total average energy density is the sum of average $\text{K.E.}$ density and average $\text{P.E.}$ density

Statement $2$ : Average $\text{K.E.}$ density is equal to the average $\text{P.E.}$ density

1. Statement $1$ is correct and Statement $2$ is incorrect.
2. Statement $2$ is correct and Statement $1$ is incorrect.
3. Both the statements are correct.
4. Both the statements are incorrect.

Q. For a transverse wave
Statement $1$ : Total average energy density is the sum of average $\text{K.E.}$ density and average $\text{P.E.}$ density

Statement $2$ : Average $\text{K.E.}$ density is equal to the average $\text{P.E.}$ density

1. Statement $1$ is correct and Statement $2$ is incorrect.
2. Statement $2$ is correct and Statement $1$ is incorrect.
3. Both the statements are correct.
4. Both the statements are incorrect.

Q. A transverse wave is propagating through a medium. The potential energy associated with vibrating particle is maximum when the displacement of the particle from the mean position is

1. Zero
2. half of the amplitude
3. equal to the amplitude
4. none of the above

Q. A plane progressive transverse wave at an instant is shown below.

Choose an correct option.

1. $\text{K.E}$ associated with particle $A$ is maximum
2. $\text{P.E}$ associated with particle $C$ is maximum
3. $\text{P.E}$ associated with particle $B$ is maximum
4. $\text{K.E}$ associated with particle $D$ is minimum

Q. For a transverse wave propagating in a medium.
Statement $1$: At mean position, $\text{P.E.}$ is maximum.
Statement $2$: At mean position, $\text{K.E}$ is maximum.

1. Statement $1$ is correct, statement $2$ is incorrect
2. Statement $1$ is incorrect, statement $2$ is correct
3. Both statements are correct
4. Both statements are incorrect

Q. A transverse wave having amplitude $A$ and angular frequency $\omega$ is travelling on a string of linear mass density $\mu$. If amplitude is doubled and angular frequency is halved, average kinetic energy per unit length will be

1. Doubled
2. Remain same
3. Halved
4. None of these.

Q.

The equation of a stationary wave is y = 0.8 cos $\left(\frac{\pi x}{20}\right)sin200\pi t$ , where x is in

cm and t is in sec. The separation between consecutive nodes will be

[MP PET 1994]

1. 20 cm

2. 10 cm

3. 40 cm

4. 30 cm

Q. Two transverse waves in a given medium are represented by the curve as shown in the figure. Find the ratio of their intensities. All the measurements are in $\text{S.I}$ units.

1. $\frac{10}{11}$
2. $\frac{24}{5}$
3. $\frac{25}{36}$
4. $\frac{25}{18}$

Q. If the amplitude of a transverse wave is doubled then average rate of transmission of potential energy becomes

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