Answer:
Explanation:
Focal length of diverging lens,
fd= -33.5 cm
focal length of converging lens,
fc = 20 cm
Now let s is object distance and s' is image distance.
Now using lens formula for conversing lens
\frac1{f_c}=\frac1{s}+\frac1{s'}
f
c
1
=
s
1
+
s
′
1
Putting all values(object is at s=infinity)
Then image distance
\frac1{s'}= \frac1{f_c}- \frac1{s}
s
′
1
=
f
c
1
−
s
1
=\frac1{20}- \frac1{\infin}=
20
1
−
∞
1
s'=20cms
′
=20cm
Now using lens formula for diversing lens
s''=14-20=-6cm
Using lens formula
\frac{1}{-33.5} = \frac{1}{-6 }+ \frac{1}{s''' }\\s'''=\frac{(6)\times(-33.5)}{(-33.5+6)}\\s'''=\frac{(-201) }{(-27.5) }
−33.5
1
=
−6
1
+
s
′′′
1
s
′′′
=
(−33.5+6)
(6)×(−33.5)
s
′′′
=
(−27.5)
(−201)
image distance for diverging lens
s''' = 7.3 cm (behind the diverging lens)
A diverging lens with f = -33.5 cm is placed 14 cm behind converging lens with f = 20cm. image distance for diverging lens, s''' = 7.3 cm (behind the diverging lens)
what are the type of lens ?When a lens in the path of a beam of parallel rays causes the rays to diverge after refraction, it is referred to as a diverging lens.
It always creates a virtual image and has a thinner core than its boundaries.
Concave lenses(diverging lenses) function as diverging lenses because they cause light rays to diverge as they pass through them.
Therefore, when used with air as the operating medium, a concave lens can be thought of as a diverging lens.
The concave lens has several applications, including in telescopes, cameras, lasers, glasses, binoculars, and other optical devices.
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if the initial velocity of body is 2 metre per second and final velocity is four metre per second calculate average velocity
Answer:
3 m/s
Explanation:
Average velocity = Initial velocity + Final velocity / 2
Solving :
⇒ Average velocity = 2 + 4 / 2
⇒ Average velocity = 6/2
⇒ Average velocity = 3 m/s
if the initial velocity of body is 2 metre per second and final velocity is four metre per second calculate average velocity
Solution:AV = 2 + 4 / 2AV = 6/2AV = 6 ÷ 2AV = 3m/sSo the average velocity is 3ms.
Compute g at a height of 7 RE above the surface of Earth (RE=6.4E+6m, ME=6.0E+24kg).
The acceleration due to gravity g at height 7 times the radius of Earth above the surface of the Earth is 8.933 m/s².
What is acceleration due to gravity?It is the acceleration caused by any object when placed on the surface on the Earth due to its weight.
The acceleration due to gravity is related to the distance as
g =GM/R²
where G is the gravitational constant = 6.67 x 10⁻¹¹ N.m²/kg²
Given is the height R = 7 x 6.4 x 10⁶ m and mass of Earth M = 6 x 10²⁴ kg
Substitute the values into the expression to find the acceleration due to gravity.
g = ( 6.67 x 10⁻¹¹ x 6 x 10²⁴)/ ( 7 x 6.4 x 10⁶)²
g = 8.933 m/s²
Thus, the acceleration due to gravity g at height 7 times the radius of Earth above the surface of the Earth is 8.933 m/s².
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A 23900N/C electric field points down. What is the value of a charge placed in the field if it experiences a force of 7520N up?
Answer:
0.315C
Explanation:
Force/Electric field
7520N/23900C
A 50.0-N bowling ball is held in a person’s hand with the forearm horizontal. The biceps muscle is attached 0.030 0 m from the joint, and the ball is 0.350 m from the joint. Find the upward force F exerted by the biceps on the forearm (the ulna) and the downward force R exerted by the humerus on the forearm, acting at the joint.
The upward force F exerted by the biceps on the forearm will be 583 N.
What is force?Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size of the body.
Force is defined as the product of mass and acceleration. Its unit is Newton.
The torque balancing equation is found as;
[tex]\rm \tau_i=\tau_R+\tau_F+\tau_{BB}=0\\\\ R(0)+F(0.0300)-(50.0)(0.350)\\\\ F=583 \ N[/tex]
Hence,the upward force F exerted by the biceps on the forearm will be 583 N.
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Two differences between science activities carried out in a science laboratory and those carried out side of science laboratory.
Please answer quickly for brainliest
In a science lab, there is the adequate availability of raw materials for experiments such as chemicals while outside a science lab there isn't.
In a science lab, the availability of apparatuses and sources of heat is higher than outside a science lab.
What is science laboratory?The science lab is a place where the experiments related to the science background are performed with the use of apparatus.
The science lab has plenty of equipment to perform the experiment whether related to physics or chemistry or biology.
Thus, source of heat and availability of raw material and equipment are the differences between the science activities carried out in a science laboratory and those carried out side of science laboratory.
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What is the length of the shortest pipe closed on one end and open at the other end that will have a fundamental frequency of 0.060 kHz on a day when the speed of sound is 340 m/s?
What is the Einstein Rosen Bridge Theory? Is it possible why or why not? (IN YOUR OWN WORDS ANYTHING ELSE WILL BE DELETED)
That states that the blackhole ends are working like bridges between one space to another.
And you can travel through them in 5-10s The distance is thousands of lightyears but we can travel it..This may be possible
The units of Work, Energy and power are________ ________units.
Answer:
the units of work and energy is joule and unit of power is Watt
An airplane on a runway accelerates at 4.0 meters/second2 for 28.0 seconds before takeoff. How far does the plane travel on the runway before
takeoff?
A. 1.6 x 103 meters
B. 1.7 x 103 meters
C. 3.1 x 103 meters
D. 3.3 x 103 meters
Answer:
A
Explanation:
d = 1/2 a t^2 = 1/2 (4)(28^2) = 1568 m ~ 1.6 x 10^3
Dodgems A has a mass of 120 kg, is initially moving to the right at a speed of 10 m/s. It collides with Dodgems B, which has a mass of 160 kg, moving to the right at a speed of 7 m/s. After collision, Dodgems A continues to move to the right but with a speed of 5 m/s. What is the speed of Dodgems B after collision?
Answer:
10.75 m/s
Explanation:
let velocity of Dodgems b be y
law of conservation of momentum
120 x 10 + 160 x 7=120x5+ 160 x y
1200+1120 = 600 + 160 x y
160y = 1720
y = 10.75 m/s
Vector V is 448 m long in a
224° direction. Vector Wis
336 m long in a 75.9°
direction.
Find the direction of their
vector sum.
The magnitude of the vector sum of the two vectors V and W is determined as 240.84 m toward + x.
What is a vector?A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
The following are the x and y axes for the supplied vector:
Vector V in x direction;
[tex]\rm V_x = Vcos \theta \\\\ V_x = 448cos(224^0)\\\\ Vx = -322.26[/tex]
Vector V in y direction;
[tex]\rm V_y = Vsin \theta\\\\ V_y = 448 \times sin224^0\\\\ V_y = -311.2[/tex]
Vector W in x direction;
[tex]\rm W_x = 336 \times cos(75.9^0)\\\\ W_x = 81.86[/tex]
Vector W in y direction;
[tex]\rm W_y = 336 \times sin75.9\\\\\ W_y = 325.88[/tex]
The resultant vector in the x direction is;
∑X = -322.26 + 81.86
∑X == -240.4
The resultant vector in the y direction is;
∑Y = -311.2 + 325.88
∑Y = 14.68
The resultant vector is found as;
[tex]\rm R =\sqrt{(-240.4)^2+(14.68)^2} \\\\R = 240.84 \ m[/tex]
Hence, the direction of their vector sum is 240.84 toward +x-axis.
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Two spherical objects have masses of 8.1 x 10^2kg and 4x.5 10^8kg. The gravitational attraction between them is 1.9 x 10^-3 N.
Let's see
We need distance between them?
[tex]\\ \rm\Rrightarrow F=\dfrac{GMm}{r^2}[/tex]
[tex]\\ \rm\Rrightarrow r^2=\dfrac{GMm}{F}[/tex]
[tex]\\ \rm\Rrightarrow r^2=\dfrac{6.673\times 10^{-11}\times 8.1\times 10^2\times 4.5\times 10^8kg}{1.9\times 10^{-3}}[/tex]
[tex]\\ \rm\Rrightarrow r^2=128.02\times 10^{2}[/tex]
[tex]\\ \rm\Rrightarrow r^2=12802[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{12802}[/tex]
[tex]\\ \rm\Rrightarrow r=113.14m[/tex]
What is the period of oscillation for a pendulum that completes 3.00 cycles every 2.00 s?
Answer:
[tex]\huge\boxed{\sf T = 0.67\ seconds}[/tex]
Explanation:
Given Data:
Cycles = c = 3 cycles
Time = t = 2 seconds
Required:
Time period = T = ?
Formula:
1) f = c/t
2) T = 1/f
Solution:
Finding frequency first:
f = c / t
f = 3/2
f = 1.5 Hz
Now, finding period:
T = 1/f
T = 1 / 1.5
T = 0.67 seconds
[tex]\rule[225]{225}{2}[/tex]
what is the difference between 1 Newton/ metre² and 1 Pascal
Explain !!
Answer:
One pascal is equivalent to 1 newton (N) of force applied over an area of 1 square meter (m2). The pascal is also used to measure stress, specifically tectonic stress in the Earth's plates.
Explanation:
Arrangement is used to increase the resistance in a circuit.
Resistors connected in parallel
Resistors connected in alternate
Resistors connected in series
Resistors connected in combination
Answer:
Resistors connected in series
You take a trip to Oklahoma City. The turnpike between Tulsa and OKC
is 90 miles long. You drive slowly for an hour and forty-five minutes, stop
at the rest area for fifteen minutes, then drive very fast from the rest
area to the City, arriving an hour after you left the rest area.
What was your average speed for the trip?
[tex]speed_{avg} = \frac{Σ\:distance}{ total\: time}[/tex]
So, according to the question:
distance = 90 miles
time = 1h 45min + 15 min + 1h = 3h
[tex]Therefore:\\ speed_{avg} = \frac{90}{3} mph \\ = \boxed {30 \: mph}[/tex]
Compare the level of energy of radio and microwaves when compared to other waves on the spectrum.
PLEASE HELP 100 POINTS! Please fill in the scale distance from sun and diversion factor, listing off the numbers works
We will take it Cm
Scale factor
1km=10^5cmSo
1cm=10^{-5}km#Mercury
580cmVen us
1080cmEarth
1500cmMars
2280cmJupiter
7780cmSaturn
14300cm#Uranus
28700cmNeptune
45000cmWhat is the wavelength of radiation with a frequency of 1.50 x 1013 s-1
Answer:
[tex]2 \times 10^{-5}\ m[/tex]
Explanation:
[tex]v = f \lambda[/tex]
velocity of wave = frequency x wavelength
I'll assume we're talking about EM radiation here, which is any kind of light (microwave, ultraviolet, visible, etc.).
Every type of EM radiation has the same velocity — the speed of light.
Speed of light, known as [tex]c[/tex] — 300 000 000 = [tex]3 \times 10^8[/tex]
velocity: [tex]c = 3 \times 10^8[/tex] [tex]ms^{-1}[/tex]
frequency: [tex]f = 1.5 \times 10^{13}[/tex] [tex]\text{Hz}[/tex]
wavelength: [tex]\lambda =\ ?[/tex] [tex]m[/tex]
[tex]v = f \lambda\\3 \times 10^8 = 1.5 \times^{13}\ \times \ \lambda\\\text{rearrange for}\ \lambda\\\lambda = \frac{3 \times 10^8}{1.5 \times 10^{13}} = 2 \times 10^{-5}[/tex] [tex]m[/tex]
Explain the mechanism of hearing
Explanation:
The pinna collects the sound waves and conducts them to the auditory canal. Sound waves struck at the ear drum and set it into vibration. Eustachian tube equalizes the pressure on either side of the ear drum and thus allows it to vibrate freely. Ear drum transmits the vibrations to ear ossicles.
Describe how energy is transferred in one of the sequences? [3]
Answer:
Thermal energy transfers occur in three ways: through conduction, convection, and radiation. When thermal energy is transferred between neighboring molecules that are in contact with one another, this is called conduction.
Explanation:
How do you think animals are affected by seasonal change?
Answer:
Animals follow the seasons very closely. Changes in the length of the day or temperature affect the animals' hormone production and cause them to behave according to the season. For that reason, animals instinctively know when it's time for them to mate, build a nest, fly south or stock up on food for the winter.
A certain FM radio station broadcasts electromag-
netic waves at a frequency of 60,050,000 Hz. These
waves travel at a velocity of 30,000,000 m/s. What is
the wavelength of these radio waves?
v = λ x f
λ = v/f f=v/λ
Answer:
0.5 m
Explanation:
To find wavelength (λ) : apply the formula
λ = wave speed (v) / frequency (f)Solving :
λ = 30,000,000 m/s / 60,050,000 Hzλ = 0.5 m (approximately)Select the correct answer. Object A attracts object B with a gravitational force of 5 newtons from a given distance. If the distance between the two objects is reduced in half, what will be the changed force of attraction between them? A. 2.5 newtons B. 10 newtons C. 15 newtons D. 20 newtons E. 25 newtons
This question involves the concept of Newton's Law of Gravitation.
The force of attraction will be changed to "D. 20 Newtons".
What is Newton's Law of Gravitation?According to Newton's Law of Gravitation, the gravitational force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically,
[tex]F=\frac{Gm_1m_2}{r^2}[/tex]
where,
F = force = 5 NG = Gravitatational constantm₁ = mass of first objectm₂ = mass of second objectr = distance between objectsNow, reducing the distance by half, we get:
[tex]F'=\frac{Gm_1m_2}{(\frac{r}{2})^2}\\\\F'=4\frac{Gm_1m_2}{r^2}\\\\F'=4F\\F'=4(5\ N)[/tex]
F' = 20 N
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Answer:
See image
Explanation:
Plato
Venus and Earth may be regarded as behaving as black bodies. The mean temperature at the surface of Venus is about 600 K and at the surface of Earth is about 300 K. Which of the following is the best estimate for the ratio \frac{\text{power radiated per unit area on Earth}}{\text{power radiated per unit area onVenus}} power radiated per unit area onVenus power radiated per unit area on Earth
The best estimate for the ratio of Power radiated per unit Area on Earth and Power radiated per unit Area on Venus is 1/16. The correct option is D.
What is power radiated?Power radiated is directly proportional to the fourth power of Temperature at the surface and also to the cross-section area.
P = σ A T⁴
For 600 K at Venus, σ A T⁴ = σ A (600)⁴
For 300 K at Earth , σ A T⁴ = σ A (300)⁴
Comparing, we get
[σ A (300)⁴/ σ A (600)⁴ ] = 1/16
Thus, the the best estimate for the ratio is 1/16. The correct option is D.
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73. Integrated Concepts
An electron microscope produces electrons with a 2.00-pm wavelength. If these are passed through a 1.00-nm single slit, at what angle will the first diffraction minimum be found?
The angle will the first diffraction minimum be found will be 0.034895°.
What is diffraction grating?A diffraction grating is a type of optical instrument obtained with a continuous pattern. The pattern of the diffracted light by a grating depends on the structure and number of elements present.
The equation of diffraction grating is given as
[tex]\rm d= \frac{m \lambda}{sin \theta }[/tex]
The angle between the incident ray and the point of the occurrence of the diffraction is found as;
[tex]\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \lambda= (2.0))(\frac{1.00 \times 10^{-12}}{1\ pm} )\\\\\ \lambda=2.00 \times 10^{-12}[/tex]
The angle will the first diffraction minimum be found is;
[tex]\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \theta = sin^{-1}(\frac{1 \times 2.000 \times 10^{-12}}{1\times 10^{-12}} )\\\\\ \theta= 0.0348995^0[/tex]
Hence,the angle will the first diffraction minimum be found will be 0.034895°.
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Which sequence describes how a convection current forms in the air?
A Warm air rises-Air gets warmer- -Warm air sinks
& Cold air rises-Air warms up-Warm air sinks
C. Warm air rises-Air cools off-Cool air sinks
D. Cold air rises-Air gets cooler-Cool air rises
W
6
Answer:
C
Explanation:
Cool and dense air falls through more warm and less dense air during convection. The cooler, which is much heavier than warm air, is displacing the warmer, which has less mass. Convection always involves rising air in the atmosphere.
Answer:
C
Explanation:
Imagine a kettle. When you open it, all the hot water vapour will rise up, attempting to burst out. However, when it comes in contact with the cold air, it also becomes cold, causing it to sink back down and giving us the visual effect of steam.
2.25 A car's speed is 30m/s, then it slows down in rate 6m/s2, after 4 seconds its speed will be ..... m/s
Answer:
A
Explanation:
Applying the First Equation of Motion :
⇒ v = u + at
⇒ v = 30 + (-6)(4)
⇒ v = 30 - 24
⇒ v = 6 m/s
An object is placed 15.0 cm to the left of a double-convex lens of focal length 20.0 cm. The image of this object is located.
The image of this object is located at -60 cm. The formula for the mirror equation is used in the given problem.
What is a mirror equation?A mirror equation is an equation that relates object distance and image distance to focal length.
The given data in the problem is;
Image distance (u) = 15 cm
Object distance (v) = ?
f is the mirror's focal length=20 cm
The mirror equation is given as;
[tex]\rm \frac{1}{v} +\frac{1}{u} =\frac{1}{f} \\\\ \rm \frac{1}{v} =\frac{1}{20} -\frac{1}{15} \\\\ \frac{1}{v} = 0.01666 \\\\\ v=-60 \ cm[/tex]
Hence, the image of this object is located at -60 cm.
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Some aliens traveling in a group know that their spaceship launchpad is 25 miles from the gas station where they are right now. How many kilometers is that distance?
The distance between the aliens traveling in group and their launchpad in kilometers is 40.23km.
How many kilometers is that distance?Given that data in the question;
Distance d = 25 milesDistance in kilometers = ?Note that;
1 miles = 1.609 kilometers
Now, the distance in kilometers will be;
distance = 25 miles
distance = ( 25 × 1.609 )kilometers
distance = 40.23km
Therefore, the distance between the aliens traveling in group and their launchpad in kilometers is 40.23km.
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