Sinusoidal Waves

Q. A sinusoidal wave is generated by moving the end of a string up and down, periodically. The generator must apply the energy at maximum rate when the end of the string attached to generator has ……….X and least power when the end of the string attached to generator has ……….Y. The most suitable option which correctly fills blanks X and Y, is

1. maximum displacement, least acceleration
2. maximum displacement, maximum acceleration
3. least displacement, maximum acceleration
4. least displacement, least acceleration

Q. Do electromagnetic waves carry energy and momentum ?

Q. If the maximum speed of a particle on a travelling sinusoidal wave is $v_0$ , then find the speed of a particle when the displacement is half of the maximum value.

1. 
2. 
3. 
4. 

Q. If the maximum speed of a particle on a travelling sinusoidal wave is $v_0$ , then find the speed of a particle when the displacement is half of the maximum value.

1. $\frac{v_0}{2}$
2. $\frac{\sqrt{3}{v}_0}{4}$
3. $\frac{\sqrt{3}{v}_0}{2}$
4. $v_0$

Q. If the maximum speed of a particle on a travelling sinusoidal wave is $v_0$ , then find the speed of a particle when the displacement is half of the maximum value.

1. $\frac{v_0}{2}$
2. $\frac{\sqrt{3}{v}_0}{4}$
3. $\frac{\sqrt{3}{v}_0}{2}$
4. $v_0$

Q. If the maximum speed of a particle on a travelling sinusoidal wave is $v_0$ , then find the speed of a particle when the displacement is half of the maximum value.

1. $\frac{v_0}{2}$
2. $\frac{\sqrt{3}{v}_0}{4}$
3. $\frac{\sqrt{3}{v}_0}{2}$
4. $v_0$