ICSE Class 10 Physics 2022 Solved Paper

Rohit playing a flute and Anita playing a piano emit sounds of same pitch and loudness.

Question : 24 of 45

Marks: +1, -0

If now the loudness of the sound from flute becomes four times that of the sound from piano, then write the value of the ratio

A_F: A_p ⋅ (A_F.

-amplitude of sound wave from flute,

A_p

amplitude of sound wave from piano)

Solution:

∵ \;\;

Loudness

^2

(amplitude)

^2

∴ \;\; \;{ {\L}_{ {\F}}}/{ {\L}_{ {\P}}}= (\;{ {\A}_{ {\F}}}/{ {\A}_{ {\P}}}) ^2

Now, loudness of flute is become 4 times of piano

⇒ \;{4}/{1}= (\;{A_F}/{A_P}) ^2

⇒ \;{A_F}/{A_P}=√{\;{4}/{1}}=\;{2}/{1}

∴ \;A_F: A_P=2: 1

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