The tension in piano wire is 10N .What should be the tension in the wire to produce a note of double the frequency?

45 N

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40 N

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80 N

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20 N

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Solution

The correct option is B 40 N
For frequency of oscillation of wire
$n \propto \sqrt{T}$
Here 'T' is tension in the wire.
In order to increase frequency twice, tension needs
to made 4 times
so $T^{'} = 4 T$
$= 4 \times 10$
$= 40 N$

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The tension in piano wire is 10N .What should be the tension in the wire to produce a note of double the frequency?

The correct option is B 40 NFor frequency of oscillation of wiren∝√THere 'T' is tension in the wire.In order to increase frequency twice, tension needsto made 4 timesso T′=4T=4×10=40N

The correct option is B 40 N
For frequency of oscillation of wire
$n \propto \sqrt{T}$
Here 'T' is tension in the wire.
In order to increase frequency twice, tension needs
to made 4 times
so $T^{'} = 4 T$
$= 4 \times 10$
$= 40 N$