Question

A body moves in S.H.M. and the D.E. is
dx
= -16x,
dt2
if doet = 0, x = 5, t = 0 then its
Frequency of S.H.M. is​

Answer 1

Answer:

The standard differential equation of SHM is 

x¨+ω2x=0. 

The coefficient of x is always ω2. 

Hence, we get ω2=36 

ω=6

T=ω2π

T=3π s

Hence option C is correct.

Answer 2

Answer:

Correct option is

C

3

π

s

The standard differential equation of SHM is

x

¨

+ω

2

x=0.

The coefficient of x is always ω

2

.

Hence, we get ω

2

=36

ω=6

T=

ω

2π

T=

3

π

s

Hence option C is correct.