Physics, 26.11.2019 02:31 annamariaafowyhrq

Plane microwaves are incident on a thin metal sheet that has a long, narrow slit of width 4.8 cm in it. the microwave radiation strikes the sheet at normal incidence. the first diffraction minimum is observed at θ = 42°. what is the wavelength of the microwaves?

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Answer from: luis83113

$\lambda = 3.21 \ cm$

Explanation:

given,

width of narrow slit = 4.8 cm

minimum angle of diffraction = θ = 42°

wavelength of the microwave = ?

condition for the diffraction for single slit diffraction

$d sin \theta = m \lambda$

for the first minima m = 1

$d sin \theta = \lambda$

wavelength of microwave radiation is equal to

$\lambda = d sin \theta$

$\lambda = 4.8\times sin 42^0$

$\lambda = 3.21 \ cm$

the wavelength of microwaves is equal to $\lambda = 3.21 \ cm$

Answer from: Quest

i will answer your question if you answer mine

Answer from: Quest

m₁v₁ + m₂v₂ = (m₁ + m₂)vmomentum is conserved.the left-hand side of the equation represents the momentum in the system before the collision.the right-hand side represents the momentum in the system after the collisionm₁ and v₁ represents the mass and the velocity of the physics blockm₂ and v₂ represents the mass and velocity of the ball of puttyv represents the final velocity of the combined mass.the question states the two masses stick together. they combined mass has its own velocity with the body mass the sum of the two objects' massestheir combined momentum is (m₁ + m₂)vto find the magitude of (m₁ + m₂)v, we need to add the vectors on the left-hand side of the equation: m₁v₁ + m₂v₂.note the diagram. i have positioned the vectors in accordance with their directions.the magnitude of the resultant can be calculated using the pythagorean theorem since this is a right triangle situation (north and west are perpendicular)|(m₁ + m₂)v| = √[ (m₁v₁)² + (m₂v₂)² ]|(m₁ + m₂)v| = √[ (1.5kg·8.0m/s)² + (0.40kg·20m/s)² ]|(m₁ + m₂)v| = 14.4 kg m/sfor two significant figures (assuming that 20m/s is two), this rounds to 14 kg m/s

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Plane microwaves are incident on a thin metal sheet that has a long, narrow slit of width 4.8 cm in...