MCQ
Two identical wires have the same fundamental frequency of $400 Hz$. when kept under the same tension. If the tension in one wire is increased by $2\%$ the number of beats produced will be
- ✓$4$
- B$2$
- C$8$
- D$1$
Beat frequency $ = \Delta n = \left( {\frac{1}{2}\frac{{\Delta T}}{T}} \right)\,n = \frac{1}{2} \times \frac{2}{{100}} \times 400 = 4$
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| List$-I$ | List$-II$ |
| $(a)$ Phase difference between current and voltage in a purely resistive $AC$ circuit | $(i)$ $\frac{\pi}{2} ;$ current leads voltage |
| $(b)$ Phase difference between current and voltage in a pure inductive $AC$ circuit | $(ii)$ zero |
| $(c)$ Phase difference between current and voltage in a pure capacitive $AC$ circuit | $(iii)$ $\frac{\pi}{2} ;$ current lags voltage |
| $(d)$ Phase difference between current and voltage in an $LCR$ series circuit | $(iv)$ $\tan ^{-1}\left(\frac{X_{C}-X_{L}}{R}\right)$ |
Choose the most appropriate answer from the options given below: