STRING IS TIED B/W POINTS X=0 AND X=L IT VIBRATES IN FUNDAMENTAL MODE .MASS PER UNIT LENGTH IS GIVEN TO BE μ.TENSION IN THE STRING IS T AND AMPLITUDE IS A. FIND THE ENERGY OF THE STRING.

ANS--A²TΠ²/4L

Question

STRING IS TIED B/W POINTS X=0 AND X=L IT VIBRATES IN FUNDAMENTAL MODE .MASS PER UNIT LENGTH IS GIVEN TO BE μ.TENSION IN THE STRING IS T AND AMPLITUDE IS A. FIND THE ENERGY OF THE STRING.

ANS--A²TΠ²/4L

SAGAR SINGH - IIT DELHI · Answer

Dear student

You have to integrate 1/2uxdx/L from 0 to A

You will get the answer A2uA2/4L

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STRING IS TIED B/W POINTS X=0 AND X=L IT VIBRATES IN FUNDAMENTAL MODE .MASS PER UNIT LENGTH IS GIVEN TO BE μ.TENSION IN THE STRING IS T AND AMPLITUDE IS A. FIND THE ENERGY OF THE STRING. ANS--A 2 TΠ 2 /4L

STRING IS TIED B/W POINTS X=0 AND X=L IT VIBRATES IN FUNDAMENTAL MODE .MASS PER UNIT LENGTH IS GIVEN TO BE μ.TENSION IN THE STRING IS T AND AMPLITUDE IS A. FIND THE ENERGY OF THE STRING.

ANS--A²TΠ²/4L

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STRING IS TIED B/W POINTS X=0 AND X=L IT VIBRATES IN FUNDAMENTAL MODE .MASS PER UNIT LENGTH IS GIVEN TO BE μ.TENSION IN THE STRING IS T AND AMPLITUDE IS A. FIND THE ENERGY OF THE STRING. ANS--A 2 TΠ 2 /4L

STRING IS TIED B/W POINTS X=0 AND X=L IT VIBRATES IN FUNDAMENTAL MODE .MASS PER UNIT LENGTH IS GIVEN TO BE μ.TENSION IN THE STRING IS T AND AMPLITUDE IS A. FIND THE ENERGY OF THE STRING. ANS--A2TΠ2/4L

1 Answers

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STRING IS TIED B/W POINTS X=0 AND X=L IT VIBRATES IN FUNDAMENTAL MODE .MASS PER UNIT LENGTH IS GIVEN TO BE μ.TENSION IN THE STRING IS T AND AMPLITUDE IS A. FIND THE ENERGY OF THE STRING.

ANS--A²TΠ²/4L