Physics, asked by prasannrock27, 1 year ago

A string of length 1.5 m with its two ends
clamped is vibrating in fundamental mode.
Amplitude at the centre of the string is
4 mm. Distance between the two points
having amplitude 2 mm is
(a) 1 m
(b) 75 cm
(c) 60 cm
(d) 50 cm




PLZZ answer for 50 points.​

Answers

Answered by santy2
11

Answer:

The distance between the two points of a string whose length is 1.5 m is 1 meter.

Explanation:

Step 1 : write down the relevant equation.

Y = The amplitude of the wave.

Y = ASinKx × Cosbt

Now set t = 0 then we have :

Y = ASinkx

k = 2pie/lambda

Step 2 : Analyze the details given in the question.

The amplitude of the distance between the two points is 2 mm which is half the the amplitude at the center.

We write this as :

½A = A Sin kx

We divide both sides by A to get :

0.5 = Sin 2pie/Lambda × x

Getting Sin inverse of both sides we have :

Sin inverse 0.5 = pie/6

Pie/6 = 2xpie/lambda

Now lambda = 2 L = 2 × 1.5 = 3

Pie/6 = 2xpie/3

Divide both sides by 2 pie/3 to get x

x = pie/6 × 3/2 = 1/4

x = 0.25 m

The other part is = 1.5m - 0.25 m = 1.25 m from the other points.

Step 3 : Calculate the distance between the two points.

1.25m - 0.25 m = 1 m

Answered by sambhavkv90yuuuh
0

Answer:

Answer:

The distance between the two points of a string whose length is 1.5 m is 1 meter.

Explanation:

Step 1 : write down the relevant equation.

Y = The amplitude of the wave.

Y = ASinKx × Cosbt

Now set t = 0 then we have :

Y = ASinkx

k = 2pie/lambda

Step 2 : Analyze the details given in the question.

The amplitude of the distance between the two points is 2 mm which is half the the amplitude at the center.

We write this as :

½A = A Sin kx

We divide both sides by A to get :

0.5 = Sin 2pie/Lambda × x

Getting Sin inverse of both sides we have :

Sin inverse 0.5 = pie/6

Pie/6 = 2xpie/lambda

Now lambda = 2 L = 2 × 1.5 = 3

Pie/6 = 2xpie/3

Divide both sides by 2 pie/3 to get x

x = pie/6 × 3/2 = 1/4

x = 0.25 m

The other part is = 1.5m - 0.25 m = 1.25 m from the other points.

Step 3 : Calculate the distance between the two points.

1.25m - 0.25 m = 1 m

Explanation:

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