Find the number of times intensity is maximum in time interval of 1 sec. [2006]

Question

Waves $y_{1} = A \cos (0.5 π x - 100 π t)$ and $y_{2} = A \cos (0.46 π x - 92 π t)$ are travelling along the $x$ -axis. (Here $x$ is in $m$ and $t$ is in second) [2006]

Q. Find the number of times intensity is maximum in time interval of 1 sec.

Smart Achievers · Accepted Answer

(1)

Beat frequency $=$ $| f_{1} - f_{2} |$ $= (50 - 46) = 4 s^{- 1}$

One beat frequency consists of one maximum and one minimum.

So, the number of maxima is $f = 4 .$

Solution

Q.
Waves $y_{1} = A \cos (0.5 π x - 100 π t)$ and $y_{2} = A \cos (0.46 π x - 92 π t)$ are travelling along the $x$ -axis. (Here $x$ is in $m$ and $t$ is in second) [2006]

Q. Find the number of times intensity is maximum in time interval of 1 sec.

1 4

2 6

3 8

4 10

Ans.
(1)

Beat frequency $=$ $| f_{1} - f_{2} |$ $= (50 - 46) = 4 s^{- 1}$

One beat frequency consists of one maximum and one minimum.

So, the number of maxima is $f = 4 .$

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Solution

Q. Waves y1=Acos(0.5πx-100πt) and y2=Acos(0.46πx-92πt) are travelling along the x-axis. (Here x is in m and t is in second) [2006] Q. Find the number of times intensity is maximum in time interval of 1 sec.

1 4

2 6

3 8

4 10

Ans. (1) Beat frequency =|f1-f2|=(50-46)=4 s-1 One beat frequency consists of one maximum and one minimum. So, the number of maxima is f=4.

Want Us to Email you About Special Offers & Updates?

Q.
Waves $y_{1} = A \cos (0.5 π x - 100 π t)$ and $y_{2} = A \cos (0.46 π x - 92 π t)$ are travelling along the $x$ -axis. (Here $x$ is in $m$ and $t$ is in second) [2006]

Q. Find the number of times intensity is maximum in time interval of 1 sec.

Ans.
(1)

Beat frequency $=$ $| f_{1} - f_{2} |$ $= (50 - 46) = 4 s^{- 1}$

One beat frequency consists of one maximum and one minimum.

So, the number of maxima is $f = 4 .$