MCQ
If the random error in the arithmetic mean of $50$ observations is $\alpha$, then the random error in the arithmetic mean of $150$ observations would be
- ✓$\frac{\alpha}{3}$
- B$3 \alpha$
- C$\alpha$
- D$2 \alpha$
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Statement $I :$ $PN$ junction diodes can be used to function as transistor, simply by connecting two diodes, back to back, which acts as the base terminal.
Statement $II :$ In the study of transistor, the amplification factor $\beta$ indicates ratio of the collector current to the base current.
In the light of the above statements, choose the correct answer from the options given below :
(Given $\varepsilon_0=8.85 \times 10^{-12}\,C ^2 / Nm ^2$ )
$y = A{e^{ - \frac{{bt}}{{2m}}}}\sin (\omega 't + \phi )$
where the symbols have their usual meanings. If a $2\ kg$ mass $(m)$ is attached to a spring of force constant $(K)$ $1250\ N/m$ , the period of the oscillation is $\left( {\pi /12} \right)s$ . The damping constant $‘b’$ has the value. ..... $kg/s$