If the amplitude of waves at a distance $10 c m$ from a point source is $A$ , the amplitude at a distance $40 c m$ will be

A / 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A / 4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $A / 4$
In case of waves emerging from a point source, their amplitude is inversely proportional to their distance from the point source.

$A \propto \frac{1}{r}$

Therefore, $\frac{A_{1}}{A_{2}} = \frac{r_{2}}{r_{1}}$

Substituting the values, $A_{2} = A / 4$

Suggest Corrections

Similar questions

If amplitude of waves at distance r from a point source is A, the amplitude at a distance 2r will be

[MP PMT 1985]

Q. from a line source, if amplitude of a wave at a a distance r is A, then the amplitude at a distance 4r will be

Q. From a point source, if amplitude of water at a distance 'r' is A, its amplitude at a distance '2r' will be

A train of sound waves is propagated along an organ pipe and gets reflected from an open end. If the displacement amplitude of the waves (incident and reflected) are 0.002 cm for both of them, the frequency is 100 Hz and wavelength is 40 cm, then the displacement amplitude of vibration at a point at a distance 10 cm from the open end is,

Q. A train of sound waves is propagated along a wide pipe and it is reflected from an open end. If the amplitude of the waves is

0.002 c m

, the frequency

1000 H z

and the wavelength

40 c m

, the amplitude of vibration at a point

10 c m

from open end inside the pipe will be

Join BYJU'S Learning Program

If the amplitude of waves at a distance 10 cm from a point source is A, the amplitude at a distance 40 cm will be

The correct option is A A/4In case of waves emerging from a point source, their amplitude is inversely proportional to their distance from the point source.A∝1rTherefore, A1A2=r2r1Substituting the values, A2=A/4

If the amplitude of waves at a distance $10 c m$ from a point source is $A$ , the amplitude at a distance $40 c m$ will be

The correct option is A $A / 4$
In case of waves emerging from a point source, their amplitude is inversely proportional to their distance from the point source.

$A \propto \frac{1}{r}$

Therefore, $\frac{A_{1}}{A_{2}} = \frac{r_{2}}{r_{1}}$

Substituting the values, $A_{2} = A / 4$