Question

prove using dimensions analysis
$n = \frac{1}{2\pi} \sqrt{ \frac{k}{m} }$
where k is force constant,n is frequency and m is mass​

Answer 1

Answer:

$n = \frac{1}{2\pi}\sqrt{} \frac{k}{m}$

1/2π= constant

force constant = kx

K = F/x

MLT^-2 / L= K

K = MT^-2

now,

putting the value of k above, we get as

n = 1/2π √MT^-2/M

n =√T^-2

n = T-

Proved ✓✓