JEE Main
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- JEE Main
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- Experimental Physics
JEE Main · Physics · Experimental Physics
If a tuning fork of frequency ( f _ 0 )340Hz and tolerance ± 1 % is...
If a tuning fork of frequency and tolerance is used in the resonance column method for determining the speed of sound. If the first and the second resonance are measured at and , then the permissible error in speed of sound is
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
x{l}_{1} = \left(\text{24.0} \mathop{+}_{¯} \text{0.1}\right) \text{cm}
{l}_{2} - {l}_{1} = \left(\text{50.70} \mathop{+}_{¯} \text{0.11}\right) \text{cm}
\dfrac{\Delta x}{x} = \left(\dfrac{\text{0.11}}{\text{50.70}}\right)
\Delta\text{%} = \dfrac{\text{0.11}}{\text{50.70}} \times \text{100}
=\text{0.22%}
\Delta \text{V} \text{%} = \Delta {f}_{0} \text{%} + \Delta\text{%}
=\text{1.22} \text{%}
=\text{1.2} \text{%}
{l}_{2} - {l}_{1} = \left(\text{50.70} \mathop{+}_{¯} \text{0.11}\right) \text{cm}
\dfrac{\Delta x}{x} = \left(\dfrac{\text{0.11}}{\text{50.70}}\right)
\Delta\text{%} = \dfrac{\text{0.11}}{\text{50.70}} \times \text{100}
=\text{0.22%}
\Delta \text{V} \text{%} = \Delta {f}_{0} \text{%} + \Delta\text{%}
=\text{1.22} \text{%}
=\text{1.2} \text{%}