Answer:
option (B) is correct.
Explanation:
frequency is directly proportional to the speed of wave and inversely proportional to the wavelength.
For string
frequency , f = v/λ
for tube
frequency ∝ 1 / λ
So, we can say that the frequency is inversely proportional to the wavelength.
thus, the higher the mode means shorter the wavelength.
Right answer:
The Absolute Refractive index is the quotient of the speed of light in vacuum and the speed of light in the medium whose index is calculated , as shown in the expression below:
(1)
This is a dimensionless value.
If we know that:
is the refractive index in vacuum
is the refractive index in the liquid
We can use equation (1), with the values of and to calculate , which is the velocity of light in this medium:
(2)
(3)
(4)
Finally:
>>>>This is the speed of light in the liquid.
Therefore the correct option is c.
Answer:
The pressure is
The temperature is
Explanation:
Generally Gibbs free energy is mathematically represented as
Where E is the enthalpy
PV is the pressure volume energy (i.e PV energy)
S is the entropy
T is the temperature
For stability to occur the Gibbs free energy must be equal to zero
Considering Diamond
So at temperature of T = 300 K
making P the subject
Now substituting 300 K for T , 2900 J for E ,
for V and for S
The negative sign signifies the direction of the pressure
Given that
making T the subject
Substituting into the equation
Answer:
The linear density of the spring = 0.00675 kg/m
Explanation:
F₀ = 1/λ........................ Equation 1
Making D the subject of formula in equation 1,
D = T/(F₀λ)²................................... Equation 2
Where F₀ = Frequency of the string, T = Tension, D = linear Density, λ = Wave length.
<em>Given: T = 907 N, </em>λ = 1.40 m
<em>F₀ = 1/t, where t = period and t = 3.82 ms = 3.82 × 10⁻³ s</em>
<em>F₀ = 1/(3.82×10⁻³) = 10³/3.82 = 261.78 Hz.</em>
<em>Substituting these values into equation 2</em>
D = 907/(1.4×261.78)²
D = 907/(366.492)²
D = 907/134316.39
D = 0.00675 kg/m
The linear density of the spring = 0.00675 kg/m