Question

The force of a particle of mass 1kg depends on displacement as F=-4x then the time period of SHM is
(1) π Hz
(2) 2π Hz
(3) 1/π Hz
(4) 1/ 2π Hz​

Answer 1

Answer:

π sec..

Explanation:

Hz is the unit of frequency and u r asking time period

hope it helps

Answer 2

GIVEN :–

• Mass of particle(m) = 1 Kg

• Displacement equation =》 F = - 4x

TO FIND :–

• Time period (T) = ?

SOLUTION :–

• Standard equation of Displacement –

$\\\bf \implies F = -kx$

• So that –

$\\\bf \implies \: k = 4$

• We know that time period –

$\\\large\implies { \boxed{\bf T=2\pi \sqrt{ \dfrac{m}{k}}}}$

• Now put the values –

$\\\implies\bf T=2\pi \sqrt{ \dfrac{1}{4}}$

$\\\implies\bf T= \dfrac{2\pi}{ \sqrt{4} }$

$\\\implies\bf T= \dfrac{ \cancel2\pi}{ \cancel2}$

$\\ \large\implies{ \boxed{\bf T=\pi \: sec}}$

• Hence , Option (1) is correct.