Answer:
We have a formula for decay is:
We have given that decay of 1/4 that means y becomes a/4
and time is given 3200 years.
Substituting the values we get:
Now, we have to find when y becomes a/2 we get:
Hence, the half life would be 1600
Solution:
Given:
height of geyser, h = 50 m
speed of water at ground can be given by third eqn of motion with v = 0 m/s:
putting v = 0 m/s in the above eqn, we get:
u = (1)
Now, pressure is given by:
(2)
where,
= density of water = 1000 kg/
g = 9.8 m/
Using eqn (1) and (2):
⇒
= = 490000 Pa
= 101325 Pa
For absolute pressure, p:
p = +
p = 490000 - 101325
p = 388675 Pa
Therefore, pressure in hot springs for the water to attain the height of 50m is 388675 Pa
Answer: The correct answer is option (B).
Explanation:
Law of conservation of mass: 'In a chemical reaction, mass neither be created nor be destroyed'
In the balance chemical equation,total mass of the reactants is equal to the total mass of the products.
A.
117 g/mol ≠ 58.5 g/mol
Law of Conservation of Mass not followed.
B.
117 g/mol = 117 g/mol
Law of Conservation of Mass is followed.
C.
188 g/mol ≠ 117 g/mol
Law of Conservation of Mass not followed.
D.
94 g/mol ≠ 117 g/mol
Law of Conservation of Mass not followed.
Hence, the correct answer is option (B).
Answer:
a)
b)
c)
d)
Explanation:
a) We can find the electron's speed by knowing the kinetic energy:
Where:
K: is the kinetic energy = 1.59 keV
m: is the electron's mass = 9.11x10⁻³¹ kg
v: is the speed =?
b) The electron's speed can be found by using Lorentz's equation:
(1)
Where:
F: is the magnetic force
q: is the electron's charge = 1.6x10⁻¹⁹ C
θ: is the angle between the speed of the electron and the magnetic field = 90°
The magnetic force is also equal to:
(2)
By equating equation (2) with (1) and by solving for B, we have:
c) The circling frequency is:
Where:
T: is the period = 2π/ω
ω: is the angular speed = v/r
d) The period of the motion is:
I hope it helps you!