BITSAT2015PhysicsWaves and SoundActual
The frequency of a sonometer wire is 100 ~Hz . When the weights producing the tensions are completely immersed in water, the frequency becomes 80 ~Hz and on immersing the weights in a certain liquid, the frequency becomes 60 ~Hz . The specific gravity of the liquid is
Options
- A1.42
- B1.77
- C1.82
- D1.21
Correct answer
B. 1.77
Step-by-step solution
As we know, frequency f m g or f g In water, f _ w =0.8 f _ air array l g ^ g (0.8)²=0.64 1- _ w _ m =0.64 _ w _ m =0.36 array In liquid, g^ g =(0.6)²=0.36 1- ₁ _ m =0.36 ₁ _ m =0.64 From eq. (1) and (2) _ l _ n = 0.64 0.36 _ l =1.77