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Q.

The frequency of transverse oscillations of a string fixed at both ends is given by  f∝Tl. Where T is the tension in the string and l is its length. If error in measuring the tension is 2 % and the error in measuring the length is 1 %, the maximum possible error in the frequency is

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a

2.5 %

b

3 %

c

2 %

d

1.5 %

answer is C.

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Detailed Solution

f∝T1/2l-1∴∆ff × 100 %=12∆TT × 100 %+∆ll × 100 %                        =12 × 2 %+1 %=2 %
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The frequency of transverse oscillations of a string fixed at both ends is given by  f∝Tl. Where T is the tension in the string and l is its length. If error in measuring the tension is 2 % and the error in measuring the length is 1 %, the maximum possible error in the frequency is