Initilal velocity of projectile at an angle of 22.5° is 10m/s. Then what is the magnitude of range of projectile?

Parallel rays of monochromatic light with wavelength 582 nm illuminate two identical slits and produce an interference pattern o

Airida [17]

Answer:

I = 0.56 10⁻⁴ W / m²

Explanation:

Double-slit interference is described by the expression

d sin θ = m λ

if we use trigonometry we can find the angle

tan θ= y / L

how the angles are small

tan θ = sin θ / cos θ = sin θ

sin θ = y / L

we substitute

d y / L = m λ

if we take into account that each slit also produces a diffraction phenomenon, the intensity distribution is the product of the intensity of the slits by the intensity of the diffraction process

I = I₀ cos² (d a) [(sin ba) / ba]²

a = π sin θ /λ

where the separation of the slits and b is the width of the slits

we substitute

I = I₀ [cos (d a)]² [sin ba /ba]²

a = π y / (L λ)

let's reduce the magnitudes to the SI system

λ = 582 nm = 582 10⁻⁹ m

L = 75.0 cm = 75.0 10⁻² m

d = 0.640 mm = 0.640 10⁻³ m

b = 0.434 mm = 0.434 10⁻³ m

Io = 4.40 10⁻⁴ W / m²

let's calculate for y = 0.710 mm = 0.710 10⁻³ m

a = π 0.710 10⁻³ / (75 10⁻² 582 10⁻⁹)

a = 5.11004 10³

I = 4.40 10⁻⁴ [cos (0.640 10⁻³ 5.11004 10³)]² (sin (0.434 10⁻³ 5.11004 10³) / (0.434 10⁻³ 5.11 10³)²

I = 4.40 10⁻⁴ cos² (3.2704) (sin 2.2178 / 2.2178)²

remember that the angles are in radians

I = 4.40 10⁻⁴ 0.9835 (0.79789 / 2.2178)²

I = 4.40 10⁻⁴ 0.9835 0.1294

I = 0.56 10⁻⁴ W / m²

8 0

3 years ago

Soon after Earth was formed, heat released by the decay of radioactive elements raised the average internal temperature from 300

Oliga [24]

Answer:

97.03%

Explanation:

The equation for volumetric expansion due to thermal expansion is as follows

V/Vo=(1+γΔT)

V=final volume

Vo=initial volume

γ=coefficient of volume expansion=3.2 × 10–5 K–1

ΔT=

temperature difference

assuming that the earth is a sphere the volume is given by

V=(4/3)pi R^3

if we find the relationship between the initial and final volume we have the following

$\frac{V}{Vo} =\frac{ \frac{4}{3} \pi r^{3} }{ \frac{4}{3} \pi ro^{3}}=\frac{r^{3} }{ro^{3}}$

taking into account the previous equation

r/ro=(1+γΔT)^(1/3)

r/r0=(1-3.2x10-5(3000-300))^(1/3)=

r/ro=0.9703=97.03%

8 0

3 years ago

The change in momentum (and impulse) are still 3000 N*s. Safety devices (like airbags, seatbelts and crumple zones) cause crashe

aleksklad [387]

Answer:

F = 2000 N

Explanation:

According to Newton's Second Law of Motion, the rate of change of momentum is equal to the force applied. Therefore, the formula written below will be used to solve this problem:

$F = \frac{\Delta P}{t}\\\\$

where,

F = Force everted = ?

ΔP = Cange in Momentum = 3000 N.s

t = time taken = 1.5 s

Therefore,

$F = \frac{3000\ N.s}{1.5\ s}$

5 0

3 years ago

In a tropic level, energy flows from the producer to the primary consumer and to a secondary consumer. True False

Ganezh [65]

Answer:

True

Explanation:

This is true because in an energy flow, the primary producers such as plants produce their own foods by using energy from the sun. These primary producers are consumed by primary consumers such as rabbits for food, while secondary consumers such as snakes would consume the primary consumers.

By so doing, energy flows from one trophic level to the other.

4 0

3 years ago

Nitrogen gas (N2) and hydrogen gas (H2) combine to form ammonia (NH3). Which equation correctly represents this reaction?

sweet [91]

Answer:

The correctly equation is D) N2+ 3H2 → 2NH3

Explanation:

Both nitrogen and hydrogen are presented in bimolecular form (N2 and H2), on one side and on the other side of the equation we have 2 Nitrogens and 6 Hydrogens (it is balanced)

5 0

4 years ago