# physics

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On a string instrument of the violin family, the effective length of a string is the distance between the bridge and the nut.

For a violin, this distance is 31.1 cm, while for a cello it is 38.8 cm.

The string of a violin is placed in a cello with the intention of producing a sound of the same fundamental frequency.

To accomplish this, the string on the cello will be under a larger tension than on the violin.

By how much should the tension in the cello be increased with respect to the tension in the violin?

Express the result as a percentage, and to two significant figures. Only answer in numerical values, without the % sign.

For example, an increase of 11% corresponds to Tcello = (1.11) Tviolin, and should be entered as 11 in the answer box.

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