JEE PHYSICS MCQ: WAVES

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Application +4 | -1

A sonometer wire resonates with frequency

\mathrm{f}_0

in its fundamental mode. If length of the wire is decreased to the value

0.95 \mathrm{~m}

, the resonating frequency increases by

5 \mathrm{~Hz}

and if length is increased to the value

1.0 \mathrm{~m}

, the resonating frequency decreases by

5 \mathrm{~Hz}

. Find the length (in

\mathrm{cm}

) of the wire for the resonating frequency

f_0

. The speed of the wave in the wire is

382.2 \mathrm{~m} / \mathrm{s}

View answer and explanation

Correct option: A

Option A (98) is correct because it's calculated using the relationship between frequency, length, and velocity in a sonometer wire.

More Questions from WAVES

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3\,\,kHz

0.5

f\mathrm{ }Hz

V\mathrm{ }m/sec

0.2\,\,V

y = \frac{3}{{{{\left( {2x + 3t} \right)}^2} + 4}},

(– \mathrm{ve}) \,x

y = f(kx +\omega t),

X

0.01\,\,s

5 \mathrm{~m}

245 \mathrm{~g}

1 \mathrm{~kg}

g=980 \mathrm{~cm} \mathrm{~s}^{-2}

T

V