Question

Does anyone know the answer to the question below.

Answer 1

Answer:

The correct answer is -

option A)

Step-by-step explanation:

It is given that the maximum of the wave is 100 units

For option A)

F(t) would be maximum when cos($\dfrac{2π}{5}$t) = -1

∴ $F(t)_{max}$ = 60 - 40(-1) = 60 + 40 = 100

Similarly we get ,

$F(t)_{max}$  = 100 for all other options.

Also It is given that minimum of the wave is 20 units.

For option a)

Minimum of F(t) occurs when

cos($\dfrac{2π}{5}$t) = 1

∴ $F(t)_{min}$ = 60 - 40 = 20.

However for option B) and D) , in a similar manner -

$F(t)_{min}$ = - 60

But for option C)

$F(t)_{min}$ =  60 + 40(-1) = 20.

Hence we discard option b) and d).

Given that the time period of the cycle is 5 ms

We know that Time period of wave is given by -

T = $\frac{2π}{ω}$ , where ω = angular frequency of the wave.

∴ $\frac{2π}{ω}$ = 5.

∴ ω = $\frac{2π}{5}$.

For option c)

ω = 5.

But for option a)

ω = $\frac{2π}{5}$.

∵ option a) satisfies all the given conditions ,

The correct answer is option a).