Two identical strings X and Z made of same material have tension TX and TZ in them. If their fundamental frequencies are 450 Hz and 300 Hz, respectively, then the ratio TXTZ is:

# Two identical strings X and Z made of same material have tension TX and TZ in them. If their fundamental frequencies are 450 Hz and 300 Hz, respectively, then the ratio $\frac{{\mathrm{T}}_{\mathrm{X}}}{{\mathrm{T}}_{\mathrm{Z}}}$ is:

1. A

0.44

2. B

1.5

3. C

2.25

4. D

1.25

Register to Get Free Mock Test and Study Material

+91

Verify OTP Code (required)

### Solution:

$\mathrm{f}=\frac{1}{2\mathrm{\ell }}\sqrt{\frac{\mathrm{T}}{\mathrm{\mu }}}$
For identical string $\mathrm{l}$ and $\mathrm{\mu }$ will be same
$\begin{array}{l}\mathrm{f}\propto \sqrt{\mathrm{T}}\\ \frac{450}{300}=\sqrt{\frac{{\mathrm{T}}_{\mathrm{x}}}{{\mathrm{T}}_{\mathrm{y}}}}\\ \frac{{\mathrm{T}}_{\mathrm{x}}}{{\mathrm{T}}_{\mathrm{y}}}=\frac{9}{4}=2.25\end{array}$

Register to Get Free Mock Test and Study Material

+91

Verify OTP Code (required)