You just need to replace x with 5 in each function
.5^5 - 11
-5-3
.5 ^-6
-8
64 - 8 = 56 A Celcius
Hope this helps
Answer:
4.1 eV
Explanation:
Kinetic energy, K = 0.8 eV = 0.8 x 1.6 x 10^-19 J = 1.28 x 10^-19 J
wavelength, λ = 253.5 nm = 253.5 x 10^-9 m
According to the Einstein energy equation
![E = W_{o}+K](https://tex.z-dn.net/?f=E%20%3D%20W_%7Bo%7D%2BK)
Where, E be the energy incident, Wo is the work function and K is the kinetic energy.
h = 6.634 x 10^-34 Js
c = 3 x 10^8 m/s
![E=\frac{hc}{\lambda }=\frac{6.634 \times 10^{-34} \times 3 \times 10^{8}}{253.5\times 10^{-9}}=7.85 \times 10^{-19} J](https://tex.z-dn.net/?f=E%3D%5Cfrac%7Bhc%7D%7B%5Clambda%20%7D%3D%5Cfrac%7B6.634%20%5Ctimes%2010%5E%7B-34%7D%20%5Ctimes%203%20%5Ctimes%2010%5E%7B8%7D%7D%7B253.5%5Ctimes%2010%5E%7B-9%7D%7D%3D7.85%20%5Ctimes%2010%5E%7B-19%7D%20J)
So, the work function, Wo = E - K
Wo = 7.85 x 10^-19 - 1.28 x 10^-19
Wo = 6.57 x 10^-19 J
Wo = 4.1 eV
Thus, the work function of the metal is 4.1 eV.
Answer:
A. 456 seconds
Explanation:
We are given that two students walk in the same direction along a straight path at a constant speed.
One student walks with a speed=0.90 m/s
second student walks with speed=1.9 m/s
Total distance covered by each students=780 meter
We have to find who is faster and how much time extra taken by slower student than the faster student.
Time taken by one student who travel with speed 0.90 m/s=![\frac{780}{0.90}](https://tex.z-dn.net/?f=%20%5Cfrac%7B780%7D%7B0.90%7D)
Time=![\frac{distance}{speed}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%7D%7Bspeed%7D)
Time taken by one student who travel with speed 0.90 m/s
=![\frac{780}{0.90}](https://tex.z-dn.net/?f=%5Cfrac%7B780%7D%7B0.90%7D)
Time taken by one student who travel with speed 0.90 m/s
=866.6 seconds
Time taken by second student who travel with speed 1.9 m/s=![\frac{780}{1.9}](https://tex.z-dn.net/?f=%5Cfrac%7B780%7D%7B1.9%7D)
=410.5 seconds
The second student who travels with speed 1.9 m/s is faster than the student travels with speed 0.90 m/s .
Extra time taken by the student travels with speed 0.90 m/s=866.6-410.5=456.1 seconds
Extra time taken by the student travels with speed 0.90 m/s=456 seconds
Hence, option A is true.
![▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪](https://tex.z-dn.net/?f=%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%20%20%7B%5Chuge%5Cmathfrak%7BAnswer%7D%7D%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA%E2%96%AA)
Let's solve ~
Given terms :
The formula to find kinetic Energy is ~
![\boxed{ \boxed{ \sf{ \frac{1}{2} m{v}^{2} }}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cboxed%7B%20%5Csf%7B%20%5Cfrac%7B1%7D%7B2%7D%20%20m%7Bv%7D%5E%7B2%7D%20%7D%7D%7D%20)
Now, apply the formula according to given situation
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{1}{2} \times 7 \times ( {4)}^{2}](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A%20%5Cdfrac%7B1%7D%7B2%7D%20%20%5Ctimes%207%20%5Ctimes%20%28%20%7B4%29%7D%5E%7B2%7D%20)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{1}{2} \times 7 \times 16](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A%20%5Cdfrac%7B1%7D%7B2%7D%20%20%5Ctimes%207%20%5Ctimes%2016)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:7 \times 8](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A7%20%5Ctimes%208)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:56 \: \: joules](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A56%20%5C%3A%20%20%5C%3A%20joules)
Therefore, the kinetic Energy of the car is 56 joules