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3 years ago

Find the frequency of a wave of wavelength 2.5m and speed 400 m/s

Physics

1 answer:

Sedaia [141]3 years ago

7 0

Answer:

The frequency of wave is 160Hz.

Explanation:

Given that the formula of speed is V = f×λ where V represents speed, f is frequency and λ is wavelength.

So first thing, you have to make frequency the subject by dividing wavelength on both sides :

$v = f \times λ \:$

$v \div λ = f \times λ \div λ$

$f = \frac{v}{λ}$

Next you have to substitute the value of v and f into the formula :

Let λ = 2.5m,

Let v = 400m/s,

$f = \frac{400}{2.5}$

$f = 160Hz$

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An object 82 cm high forms a virtual image 4.1 cm high located 4.6 cm behind a mirror. Find the object distance.

ioda

Answer:

The object distance is 92 cm.

Explanation:

let v be the image distance and h be the height of the image, let u the be the object distance and H be the height of the object.

then, the magification of the mirror is given by:

m = -v/u and m = h/H

so, -v/u = h/H

u = -v×H/h

= -(-4.6)×(82)/(4.1)

= 92 cm

Therefore, the object distance is 92 cm.

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3 years ago

An equation for the period of a planet is 4 pie² r³/Gm where T is in secs, r is in meters, G is in m³/kgs² m is in kg, show that

marishachu [46]

Answer:

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The unit of both sides of this equation are $\rm s$ .

Explanation:

The unit of the left-hand side is $\rm s$ , same as the unit of $T$ .

The following makes use of the fact that for any non-zero value $x$ , the power $x^{-1}$ is equivalent to $\displaystyle \frac{1}{x}$ .

On the right-hand side of this equation:

$\pi$ has no unit.
The unit of $r$ is $\rm m$ .
The unit of $G$ is $\displaystyle \rm \frac{m^{3}}{kg \cdot s^{2}}$ , which is equivalent to $\rm m^{3} \cdot kg^{-1} \cdot s^{-2}$ .
The unit of $m$ is $\rm kg$ .

$\begin{aligned}& \rm \sqrt{\frac{(m)^{3}}{(m^{3} \cdot kg^{-1} \cdot s^{-2}) \cdot (kg)}} \\ &= \rm \sqrt{\frac{m^{3}}{m^{3} \cdot s^{-2}}} = \sqrt{s^{2}} = s\end{aligned}$ .

Hence, the unit on the right-hand side of this equation is also $\rm s$ .

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3 years ago

the average velocity of a duck is zero as it goes from t=0 to t=120 s. describe the displacement of the duck for that interval

podryga [215]

Answer:

The displacement, s= 0 m

Explanation:

Given data,

The average velocity of the duck, v = 0 m/s

The time interval of the velocity, t₁ = 0 and t₂ = 120 s,

∴ Δt = t₂ - t₁

= 120 s

The displacement of the duck is given by the formula,

s = v x Δt

= 0 m/s x 120 s

= 0 m

Hence, the displacement of the duck is, s = 0 m

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4 years ago

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