Bebe Essien

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Bebe provided a contribution 3 months ago

At what temperature will the Celsius scale coincide with the Fahrenheit scale? | Physics Past Questions

The relation between the Fahrenheit and Celsius scale is given by the equation.
⇒(∘F−32)180=∘C100

Now, let us assume that Fahrenheit and Celsius scale coincide at x∘
Therefore,
⇒(∘x−32)180=∘x100
ON solving,
We get,
⇒59(∘x−32)=∘x
Therefore,
⇒x=−40∘
Therefore, Celsius and Fahrenheit scale coincide at -40 degrees.



Bebe provided a contribution 3 months ago

A 500kg truck moving with a velocity of 6m/s collides with a stationary 100kg car… | Physics Past Questions

Mass of truck, m¹=500kg
Velocity of truck, v¹=6m/s
Mass of car, m²=100kg
Velocity of car, v²=0m/s
m¹v¹+m²v²=(m¹+m²)V
Where V is the common velocity after collision
(500*6)+(100*0)=(500+100)V
3000+0=600V
V=\( \cfrac{3000}{600} \)
V=5m/s

Bebe provided a contribution 3 months ago

The half life of a radioactive substance is 2 seconds. Calculate the decay const… | Physics Past Questions

Half life, \( T_{½}=2 \)
\( T_{½}=0.693÷\lambda \)
\( \lambda=0.693÷T_{½} \)
\( \lambda=0.693÷2 \)s
\( \lambda=0.3465 \)s
\( \lambda\approx 0.347 \)s


Bebe provided a contribution 4 months ago

A gas which obeys Charles law exactly has a volume of 283cm\(^{3}\) at 10\(^{\circ}\)C. what is the volume at 30\(^{\circ}\)C?… | Physics Past Questions

Volume, V¹=283cm³
Temperature, T¹=10°C
Converting 10°C To Kelvin =10+273=283K
Volume, V²=?
Temperature, T²=30°C
Converting 30°C To Kelvin=30+273=303K

\( \cfrac{V¹}{T¹}=\cfrac{V²}{T²} \)
\( \cfrac{283}{283}=\cfrac{V²}{303} \)
\( V²=\cfrac{283*303}{283} \)
V²=303cm³


Bebe provided a contribution 4 months ago

Which of the following instruments would be best suited in studying the stars? | Physics Past Questions

The telescope operates at optical to mid-infrared wavelengths, but has an especially powerful capability to image large areas of the sky at optical wavelengths. Astronomers use these images to economically estimate the distances and properties of galaxies.

Bebe provided a contribution 4 months ago

Which of these instruments is suitable for making the most accurate measurement … | Physics Past Questions

A vernier caliper is measuring device used to precisely measure linear dimensions. It is a very useful tool when measuring the diameter of round objects like cylinders because the measuring jaws can be secured on either side of the circumference.

Bebe provided a contribution 4 months ago

An object is placed between 2 mirrors inclined at an angle of 120\(^{\circ}\) an… | Physics Past Questions

Let the number of images formed be n
And the angle of inclination be \( \theta \)
n=360/\( \theta \)
If n is even, we subtract one
But if n is odd, we leave it
Now, n=360÷180
n=3
Now, n is even so we subtract one from it
n=3-1
n=2

Bebe provided a contribution 4 months ago

A ball is projected horizontally from the top of a hill with a velocity of 20m/s…. | Physics Past Questions

Initial velocity, u=20m/s
Time, t=4s
Acceleration due to gravity, g=10m/s²
Height of the hill, h=?
h=ut\( \pm \)½gt²
h is positive because the body is falling down
h=ut+½gt²
h=(20\( \times \)4)+½\( \times \)10\( \times \)4²
=80+80
=160m

Bebe provided a contribution 4 months ago

If the linear expansivity of a metal rod is 4 \(\times\) 10\(^{-5}\) per \(^{\circ}\)C, what will be the new length of the rod if it is heated from 15\(^{\circ}\)C t… | Physics Past Questions

Coefficient of linear eapsnsivity,\( \alpha=4\times10^-⁵ \)
Change in temperature, \( \Delta\theta=95°C-15°C
=80° C
\)
Original length, l¹=20cm
Final length, l²=xcm
\( \alpha=(l²-l¹)÷l¹\Delta\theta
4\times10^–⁵=(x-20)÷(20\times80)
x=20.064cm \)

Bebe provided a contribution 4 months ago

A truck traveling with a velocity of 40m/s applies the brakes and comes to a halt… | Physics Past Questions

Initial velocity, u=40m/s
Time, t=20s
Final velocity, v=0m/s since the truck is coming to a halt
Acceleration, a=?
But,
v=u+at
0=40+a(20)
0=40+20a
20a=-40
a=-2m/s²
To find the distance traveled,
v²=u²+2as
0²=40²+2(-2)(s)
0=1600-4s
4s=1600
s=400m

Bebe provided a contribution 4 months ago

₦1,000,000.00 is put for 4% yearly interest for three years with the interest … | Mathematics Past Questions

The interest at the end of one year will be
₦1,000,000*4%=₦4,000
Total amount of money at the end of one year
=₦1,000,000+₦4,000
=₦1,040,000
The interest at the end of two years will be
₦1,040,000*4%=₦41,600
Total amount of money at the end of two years
=₦1,040,000+₦41,600
=₦1,081,600
The interest at the end of three years will be
₦1,081,600*40%=₦43,264
Total amount of money at the end of three years
=₦1,081,600+₦43,264
=₦1,124,864

Bebe provided a contribution 4 months ago

A machine valued at ₦20, 000 depreciates by 10% every year. What will be the v… | Mathematics Past Questions

In the first year the value of the machine depreciates by
#20,000*10%=#2,000
At the end of the first year,the value of the machine will be
#20,000-#2000=#18,000
In the second year, the value of the machine depreciates by
#18,000*10%=#1,800
At the end of the second year, the value of the machine will be
#18,000-#1,800=#16,200

Bebe provided a contribution 4 months ago

A machine valued at ₦20, 000 depreciates by 10% every year. What will be the v… | Mathematics Past Questions

In the first year the value depreciates by
#20,000*10%=#2,000
At the end of the first year,the value of the machine will be
#20,000-#2000=#18,000
In the second year, the value of the machine depreciates by
#18,000*10%=#1,800
At the end of the second year, the value of the machine will be
#18,000-#1,800=#16,200

Bebe provided a contribution 1 year ago