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\(\Delta v = \dfrac{1 \times 10^{-18}}{9 \times 10^{-28}} = \dfrac{1}{9} \times 10^{10} \approx 1 \times 10^9\) cm s\(^{-1}\)
This enormously large uncertainty in velocity illustrates why classical mechanics fails for electrons โ they cannot have precisely defined trajectories.
Time period: $T = \frac{5}{10} = 0.5\ \text{s}$
Formula for oscillation: $T = 2\pi\sqrt{\frac{I}{MB}}$
$B = \frac{4\pi^2 I}{MT^2} = \frac{4 \times 9.85 \times 5\times10^{-6}}{9.85\times10^{-2} \times (0.5)^2}$
$= \frac{4 \times 9.85 \times 5\times10^{-6}}{9.85\times10^{-2} \times 0.25} = \frac{20\times10^{-5}}{2.4625\times10^{-3}} = 0.01\ \text{T} = 10\ \text{mT}$
A rectangular playground is 24 meters wide and has the same area as another rectangular playground that is 64 meters long and 48 meters wide. What is the perimeter of the first playground?
Area of the second playground: $64 \times 48 = 3072$ square meters.
The first playground has width 24 m and the same area:
$24 \times \text{length} = 3072$
$\text{length} = \dfrac{3072}{24} = 128$ meters.
Perimeter $= 2(24 + 128) = 2 \times 152 = \mathbf{304}$ meters.
The physical appearance or observable characteristic of an organism is called its:
Trait (or phenotype) is the physical expression (e.g., tall, dwarf). Genotype is the genetic makeup; allele is a variant form; genetic code is the triplet codon system.
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