A ray of light (f = 5.09 × 1014 Hz) is traveling through a mineral sample that is submerged in water. The ray refracts as it enters the water, as shown in the diagram below.
Calculate the absolute index of refraction of the mineral

From the information provided and the calculations, the energy of the drop is 1.51 eV

The Rydberg formula is used to obtain the energy of a photon or the wavelength of a photon.

Thus;

1/λ = 1.097 * 10^7 (1/3^2 - 1/5^2)

1/λ = 1.097 * 10^7(0.11 - 0.04)

λ = 1.3 * 10^-6 m

Since;

E = hc/λ

E = 6.6 * 10^-34 * 3 * 10^8/1.3 * 10^-6

E = 1.51 * 10^-19 J or 1.51 eV

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Answer:

0.97eV

Explanation:

The energy emitted during n=5 is 0.54 eV

The energy emitted during n=3 is 1.51 eV
(This information is on the Physics Reference Table 2006 edition)

We find the change in the energy level which is:  

1.51eV-0.54eV = 0.97eV

Therefore the energy emitted by the photon is 0.97eV.

(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².

(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.

The moment of inertia of the sign for rotation about the side of length h is calculated as follows;

I = 2 x ¹/₃M(b/2)²

I = 2 x ¹/₃Mb² x ¹/₄

I = ¹/₆Mb²

I = ¹/₆ x 4.4 x 1.3²

I = 1.24 kgm²

K.E(rot) = ¹/₂Iω²

where;

K.E(rot) = ¹/₂(1.24)(15.1)²

K.E(rot) = 141.37 J

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The net force needed to lift a full grocery sack uniformly is 32.115 N.

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

Given the weight of sack W = 210N and the acceleration a = 1.5m/s².

The mass of the sack will be

m = Weight / acceleration due to gravity

m = 210 N/9.81 m/s²

m = 21.41 kg

Using Newton's second law, the net force will be

F = mass x acceleration

F= 21.41 x 1.5

F = 32.115 N

Thus, the net force is 32.115 N.

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remote control

Explanation:

A remote control uses light waves just beyond the visible spectrum of light—infrared light waves—to change channels on your TV.

Answer:

a. the light diverges when it passes through the lens.

Explanation:

All the light rays after passing through the concave lens diverge and when produced backwards appear to meet at a point on the principal axis of the lens. This point is known as principal focus of a concave lens.

Explanation:

Force = mass x acceleration

F= ma (formula)

15N = o.5kg x a

Divide both sides by o.5

a = 30 (greater acceleration)

15N = 4.5kg x a

Divide both sides by 4.5

a= 3.33 (great acceleration)

15N = 0.05kg x a

Divide both sides by 0.05

a = 300 (greatest acceleration)

Answer:

c. light from the sun is reflected back to us off the moon

Explanation:

the moon does not produce its own light

The reactance of the circuit will be 5.233×10⁻⁴ ohm. Inductive reactance is the product of 2 times π frequency and the coil inductance.

When alternating electricity passes through pure reactance, it causes a voltage drop that is 90 degrees out of phase with the current.

The letter “X” is used to represent reactance in mathematics, and it is measured in ohms.

The inductive reactance of a coil is calculated using the following formula:

Inductive reactance, or XL, is the product of 2 times p (pi), and the frequency of the ac current in hertz, and the coil inductance in henries.

XL= 2πfL

Where,

f {frequency)

L (Inductance)

The reactance of the circuit is found as;

[tex]\rm R_{new}=0.38[{(\frac{1}{60} )^2][/tex]

[tex]\rm R_{new}=1.055 \times 10^{-4} \ ohm[/tex]

The inductance of the circuit is;

[tex]\rm X_{new}=1.9(\frac{1}{60} )^2\\\\X_{new}= 5.233 \times 10^{-4}\ ohm[/tex]

Hence, the reactance of the circuit will be 5.233×10⁻⁴ ohm.

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Answer:

The focal length of a lens is the distance from the lens to the focal point.

For a convex lens the focal point is that point at which parallel rays will be focused after passing thru the lens.

Note:  For a concave lens the rays will diverge after passing thru the lens and will appear to come from a point on the same side of the lens from which the parallel rays strike the lens,

The sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.

Kirchhoff's loop rule states that the algebraic sum of potential differences, as well as the voltage supplied by the voltage sources and resistances, in any loop must be equal to zero.

In a series RLCcircuit, the voltages are not added by scalar addition but by vector addition.

Kirchhoff's loop rule is not violated since the voltages across different elements in the circuit are not at their maximum values.

Therefore, the sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.

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Answer:

K=6.250 J

Explanation:

m=500kg

v=m/s

Kinetic energy= ½mv²=½(500×25) J= 6.250 J

The distance the 2.0-cm-diameter piston must be pushed down to raise 9 cm diameter is 607.5 cm.

The distance the piston must be pushed down is calculated as follows;

A₁d₁ = A₂d₂

πr₁²d₁ = πr₂²d₂

r₁²d₁ = r₂²d₂

(1)²(d₁) = (4.5)²30

d₁ = 607.5 cm

Thus, the distance the 2.0-cm-diameter piston must be pushed down to raise 9 cm diameter is 607.5 cm.

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If the man DECREASES the force of his push on the cart, the cart slows down.

The force applied to an object is determined by applying Newton's second law of motion.

F = ma

where;

a = Δv/t

F = (mΔv)/t

mΔv = Ft

Δv = Ft/m

From the equation above, when the applied force decreases, the change in velocity decreases.

Thus, if the man DECREASES the force of his push on the cart, the cart slows down.

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The Resistance of the wire that makes up the heating element of the toaster is 13.75Ω.

What is Resistance?

Resistance is the measure of the opposition to current flow in an electrical circuit.

S.I. Unit of resistance is ohms, symbolized by the Greek letter omega (Ω)

Also from Ohm's Law,[tex]R=\frac{V}{I}[/tex]

From power-current relation

P=VI

Also, [tex]I=\frac{P}{V}[/tex]

[tex]I = \frac{1050}{120}[/tex]

I = 8.75 A

From Ohm's Law,[tex]R=\frac{V}{I}[/tex]

[tex]R = \frac{120}{8.75}[/tex]

R = 13.75 Ω

The Resistance of the wire is 13.75 Ω

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Answer:

16

Explanation:

The cross-sectional area of the tape is determined as 3.9 x 10⁻⁵ ft².

The volume of the tape is calculated as follows;

volume = mass/density

volume = (1.95 lb)/(490 lb/ft³)

volume = 3.98 x 10⁻³ ft³

V  = AL

A = V/L

A = 3.98 x 10⁻³ ft³/102 ft

A = 3.9 x 10⁻⁵ ft²

Thus, the cross-sectional area of the tape is determined as 3.9 x 10⁻⁵ ft².

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Answer:

C. to apply lasers to precision measurements of the nucleus

Explanation:

Magnetic resonance imaging (MRI) is based on the principles of nuclear magnetic resonance (NMR), a spectroscopic technique used to obtain microscopic chemical and physical information about molecules.

The frequency of an electromagnetic wave with wavelength of 10nm will be 3 × 10∧7 Hz and would belong to the X-ray or ultraviolet part of the electromagnetic spectrum due to its wavelength

What is frequency?

Frequency is defined as the number of oscillations of a wave per unit time and is measured in hertz(Hz).

It is also inversely proportional to the wavelength.

The frequency of an electromagnetic wave can be calculated using the formula;

frequency = velocity of light divided by the wavelength

f = v ÷ λ

Note that the velocity of light = 3 × 10 ∧8 m/s

Wavelength = 10nm

Frequency, f = 3 × 10∧8 ÷ 10 = 3 × 10∧7 Hz

Hence, the frequency of an electromagnetic wave with wavelength of 10nm will be 3 × 10∧7 Hz and would belong to the X-ray or ultraviolet part of the electromagnetic spectrum due to its wavelength.

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Answer:

  toward the center of the circular curve

Explanation:

An object will follow a circular path at constant speed if and only if its net acceleration is constant and directed toward the center of the curved path.

__

The result force is directed toward the center of the circle.

_____

Additional comment

If any part of the result force is in the direction of motion, the speed will not be constant. If the center-directed force is not constant, the path will not be circular.

Answer:

Displacement...

Explanation:

Displacement is a vector quantity as it have both magnitude and direction...

[tex]...[/tex]

a. displacement is the correct answer

Displacement is a vector quantity

Displacement is a vector quantity because it has both magnitude and direction.

#21

According to first equation of kinematics

#22

#a

The order is

#b

for speed find absolute velocity

So order is

S1<S3<S2

Answer:

See below ~

Explanation:

Question 21 :

⇒ v = u + at

⇒ v = 5 + 1.3 (2)

⇒ v = 5 + 2.6

⇒ v = 7.6 m/s

=============================================================

Question 22 : At t = 3

Subpart (a)

⇒ Object 1 : v = 2 + 3(3) = 11 m/s

⇒ Object 2 : v = -8 - 4(3) = -20 m/s

⇒ Object 3 : v = 1 - 5(3) = -14 m/s

⇒ Hence, their velocities are in the order : Object 2 < Object 3 < Object 1

Subpart (b)

⇒ Object 1 : v = | 2 + 3(3) | = 11 m/s

⇒ Object 2 : v = | -8 - 4(3) | = 20 m/s

⇒ Object 3 : v = | 1 - 5(3) | = 14 m/s

⇒ Hence, their speeds are in the order : Object 1 < Object 3 < Object 2

answer: c

explanation: it's job is to store and release charge

Answer:

C- It stores and releases charge

By applying the relationship of side lengths to interior angles in a triangle, a possible measure of line segment TS is 4.0 ft.

In Geometry, the relationship of side lengths to interior angles in a triangle include the following:

Based on the above theory, we can logically deduce that angle GF < TS or TS > GF because 42° is greater than 56°.

TS > 3.2 ft.

Therefore, a possible measure of line segment TS is 4.0 ft.

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Complete Question:

In the triangles, TR = GE and SR = FE. If Line segment G F = 3.2 ft, which is a possible measure of Line segment TS? 1.6 ft 3.0 ft 3.2 ft 4.0 ft.

Answer: C. Be more dense and flow under warm air.

Explanation:

think of a supermarket selling dairy products and when you open the fridge to get the milk, outside the supermarket is hot and inside the fridge is cold ice.

Cheer dance​ is a routine composed of yells and cheers gymnastic skill and dance.  

Cheer dance or cheerleading is a group activity used to entertain fans at athletic events and inspire louder, more enthusiastic cheering. It combines dancing and acrobatic aspects with shouted phrases.

A never-ending range of diverse stunts, jumps, pyramids, dances, and chants that integrate a variety of different movements can be included in the immensely complex sport of cheerleading. Base, partner, and spotter are the three primary cheerleading roles. These roles are all a part of cheerleading stunts, which pose the greatest risk of harm to participants.

It is a competitive sport and leisure activity made up of a set routine with necessary performance components, much like in gymnastics and dance. Additionally, it hopes to get the crowds to cheer in team sports event.

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Your question is incomplete, but most probably your full question was:

1. It is a routine composed of yells and cheers, gymnastic skills and dance.

A. Contemporary dance

B. Hip-hop dance

C. Street dance

D. Cheer dance​

The direction of a vector that has the following components is 233°.

The direction of a vector is where its endpoint points. However, when at least one of the characteristics mentioned above is different, we say that the vectors are different.

In this case, this calculus will be:

[tex]tan\theta= \frac{59}{44} \\\theta= tan^{-1}(\frac{59}{44})\\ \theta= 233\°[/tex]

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The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.

The direction of a vector with components x = -44 m and y = -59 m can be determined using trigonometry.  In this case, we have:

x-component (x) = -44 m

y-component (y) = -59 m

We can use the inverse tangent function to find the angle.

The direction angle (θ) can be calculated as:

θ = arctan(y / x)

θ = arctan((-59 m) / (-44 m))

Calculating this expression:

θ ≈ arctan(1.341)

To find the actual angle, we can use a calculator or table to determine the inverse tangent of 1.341.

θ ≈ 52.16 degrees

Therefore, the direction of the vector is approximately 52.16 degrees in the counterclockwise direction from the positive x-axis.

The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.

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According to the graph of displacement vs. time, the object's velocity is 0.02 m/s

The displacement is the shortest distance travelled by the particle. It is the vector quantity which re[presents both the magnitude and direction.

Velocity is the time rate of change of displacement with time.

Given is the displacement 0.2 m and time taken is 10s. So, the velocity is

v = 0.2/10

v = 0.02 m/s

Thus, the object's velocity is 0.02 m/s

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The time it would take a 2500 W electric kettle to boil away 1.5 Kg of water is 2400 seconds

Use the formula:

Power × time = mass × specific heat

Given mass = 1. 5kg

Specific latent heat of vaporization = 4000000 J/ Kg

Power = 2500 W

Substitute the values into the formula

Power × time = mass × specific heat

2500 × time = 1. 5 × 4000000

Make 'time' the subject

time = 1. 5 × 4000000 ÷ 2500 = 6000000 ÷ 2500 = 2400 seconds

Therefore, the time it would take a 2500 W electric kettle to boil away 1.5 Kg of water is 2400 seconds.

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