suppose that a particle at rest with mass m decays into a photon and another particle with mass m/2 , which recoilds in a direction opposite to the photon. Using the conservation of energy and momentum find the momentum of the recoiling particle

Answers

Answer 1
Answer:

Answer:

p_r=(h)/(\lambda)

Explanation:

To find the momentum of the recoiling particle you can use the momentum formula for a photon:

p=(h)/(\lambda)

before the decay the momentum is zero. Hence, after the decay the momentum of the photon plus the momentum of the recoiling particle must be zero:

p_a=p_b\n\n(h)/(\lambda)-(m)/(2)v=0\n\np_r=(m)/(2)v=(h)/(\lambda)

where pr is the momentum of the recoiling particle.


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A biconvex lens is one in which both surfaces of the lens bulge outwards. Suppose you had a biconvex lens with radii of curvature with magnitudes of R 1= 10cm and R 2 = 15cm. The lens is made of glass with index of refraction n=1.5. We will employ the convention that R 1 refers to the radius of curvature through wich light will enter the lens, and R 2 refers to the radius of curvature from which the light will exit the lens.Is this lens converging or diverging?

What is the focal length of this lens in air?

Answers

Answer:

The focal length is 12 cm and the lens is converging.

Explanation:

Given that,

Radius, R ₁=10 cm

R₂ =15 cm

Index of refraction n= 1.5

We need to calculate the focal length of the lens

Using formula of focal length

(1)/(f)=(n-1)((1)/(R_(1))+(1)/(R_(2)))

Put the value into the formula

(1)/(f)=(1.5-1)((1)/(10)+(1)/(15))

(1)/(f)=0.0833

f =12\ cm

The focal length of the lens is positive so the lens is converging.

Hence, The focal length is 12 cm and the lens is converging.

Final answer:

A biconvex lens is a type of converging lens. Using the Lensmaker's formula and the given values, the focal length of the lens in air is calculated to be 30cm.

Explanation:

A biconvex lens, which is defined by both surfaces of the lens bulging outwards, is a form of converging lens due to its ability to bend parallel light rays toward a single focal point after they pass through the lens. The focal length of the lens can be calculated using the Lensmaker's formula, which is 1/f = (n-1)[(1/R1) - (1/R2)]. Applying the given values, we find that the focal length f = 1/[(1.5-1)[(1/10)-(1/15)]] = 30cm.

Therefore, this biconvex lens is a converging lens with a focal length of 30cm in air.

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"Consider the following atoms: A. Gold, B. Copper, C. Carbon, D.Silver. Consult the periodic table and rank these atoms, from most to least, by their a mass. b. number of electrons. c. number of proto"

Answers

Let's rank the atoms A (Gold), B (Copper), C (Carbon), and D (Silver) based on:

a. Mass (atomic mass or atomic weight)

b. Number of electrons

c. Number of protons

a. Mass (Atomic Mass or Atomic Weight):

1. Gold (A) has an atomic mass of approximately 196.97 atomic mass units (u).

2. Silver (D) has an atomic mass of approximately 107.87 u.

3. Copper (B) has an atomic mass of approximately 63.55 u.

4. Carbon (C) has an atomic mass of approximately 12.01 u.

Ranking by mass from most to least:

1. Gold (A) - 196.97 u

2. Silver (D) - 107.87 u

3. Copper (B) - 63.55 u

4. Carbon (C) - 12.01 u

b. Number of Electrons:

The number of electrons in an atom is equal to the number of protons, which is also the atomic number.

1. Gold (A) has an atomic number of 79, so it has 79 electrons.

2. Silver (D) has an atomic number of 47, so it has 47 electrons.

3. Copper (B) has an atomic number of 29, so it has 29 electrons.

4. Carbon (C) has an atomic number of 6, so it has 6 electrons.

Ranking by the number of electrons from most to least:

1. Gold (A) - 79 electrons

2. Silver (D) - 47 electrons

3. Copper (B) - 29 electrons

4. Carbon (C) - 6 electrons

c. Number of Protons:

The number of protons in an atom is equal to the atomic number.

1. Gold (A) has an atomic number of 79, so it has 79 protons.

2. Silver (D) has an atomic number of 47, so it has 47 protons.

3. Copper (B) has an atomic number of 29, so it has 29 protons.

4. Carbon (C) has an atomic number of 6, so it has 6 protons.

Ranking by the number of protons (which is the same as the ranking by the number of electrons):

1. Gold (A) - 79 protons

2. Silver (D) - 47 protons

3. Copper (B) - 29 protons

4. Carbon (C) - 6 protons

Final answer:

To rank the given atoms by mass, D. Silver has the most mass, followed by A. Gold, B. Copper, and C. Carbon. For number of electrons, B. Copper has the most, followed by A. Gold, C. Carbon, and D. Silver. For number of protons, B. Copper has the most, followed by A. Gold, D. Silver, and C. Carbon.

Explanation:

To rank the given atoms based on their mass, we can refer to the atomic mass or atomic weight of each element. The atomic mass of an element is the sum of the number of protons and neutrons in the nucleus. The element with the highest atomic mass will have the most mass. In this case, the ordering would be D. Silver, A. Gold, B. Copper, and C. Carbon.

To rank the atoms based on the number of electrons, we can refer to the atomic number of each element. The atomic number represents the number of protons, which is equal to the number of electrons in a neutral atom. The element with the highest atomic number will have the most electrons. In this case, the ordering would be B. Copper, A. Gold, C. Carbon, and D. Silver.

To rank the atoms based on the number of protons, we can again refer to the atomic number of each element. The atomic number represents the number of protons in the nucleus. The element with the highest atomic number will have the most protons. In this case, the ordering would be B. Copper, A. Gold, D. Silver, and C. Carbon.

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Dr. Tate and Dr. Ramirez are observing the effects of a type of solar activity that has reached the planet Jupiter. What solar activity are they observing?

Answers

Answer:

Sunspot cycle

Explanation:

The number of sunspots seen on the "surface" of the Sun varies every year. These variations are called a cycles. The length of the cycle is about eleven years on average. The Sunspot Cycle was discovered in 1843 by the amateur German astronomer Samuel Heinrich Schwabe.

I’m pretty sure it’s D.) solar winds

What is the motion of a body when only the force of gravity is acting on it

Answers

When only the force of gravity acts on an object,
the situation is called "free fall".

The motion is uniformly accelerated.  The object falls
straight toward the center of the other object in whose
gravity it shares, and its speed increases at a constant
rate. 

When this happens on or near the surface of the Earth,
the rate is (9.8 meters per second greater) for each
second of falling.

True free-fall is never observed in daily life.  Whenever
we see an object falling, it is always falling through air,
which counteracts the force of gravity to a greater or
lesser degree, depending on the object's size, shape,
weight, surface texture, and speed through the air.

An object that is farther from a converging lens than its focal point always has an image that is _____.inverted
virtual
the same in size
smaller in size

Answers

An object that is farther from a converging lens than its focal point always has an image that is virtual. Option (b) is correct.

An optical lens that is thicker in the center and narrower at the corners is referred to as a converging lens, also known as a convex lens. Because it causes parallel light rays to converge or come together at a certain location known as the focal point, it is referred to as a "converging" lens.

The image created is virtual, meaning that it appears to be on the same side of the lens as the object when an object is placed farther away from a converging lens than its focal point. The virtual image is also enlarged, making it look bigger than the actual object. Additionally, the image is upright, not inverted.

Hence, an object that is farther from a converging lens than its focal point always has an image that is virtual. Option (b) is correct.

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Smaller in size (Pt. Sized)

What happens along a stationary front?a. Cold air rises over warm air.
b. The flow of air is neither toward the warm air mass nor toward the cold air mass.
c. Air moves so rapidly upward that hurricanes form.
d. Wind stops completely.

Answers

Answer: b. The flow of air is neither toward the warm air mass nor toward the cold air mass.

A stationary front forms between two air masses. A stationary front results when the warm front or cold front air stops moving. This occurs due to the fact that warm front and cold front air masses being opposite to each other but neither of them are able to repel the other. This affects the climatic conditions of the region. The weather is often cloudy along a stationary front and also supported with fall of rain and snow especially if the air in the front is cold with low atmospheric pressure.

Therefore, along a stationary front the flow of air is neither toward the warm air mass nor toward the cold air mass.



Final answer:

A stationary front is formed when a cold air mass and a warm air mass meet, but neither is strong enough to displace the other. The air flow is generally neither towards the cold nor warm air mass, often resulting in prolonged cloudiness and precipitation

Explanation:

Along a stationary front, option b best describes what happens. Generally, stationary fronts occur when a cold air mass and a warm air mass meet, but neither is strong enough to move the other. As a result, the flow of air is typically neither toward the warm air mass nor toward the cold air mass. Instead, both air masses essentially stay where they are, often resulting in prolonged periods of cloudiness and precipitation in the area surrounding the front.

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