Answer:
A) 37°
Explanation:
The formula for the critical angle is:
Where,
is the critical angle
is the refractive index of the refractive medium. = 1.33
is the refractive index of the incident medium. = 1.43
Applying in the formula as:
The critical angle is = sin⁻¹ 0.93006 = 68.4442°
Angle of incidence is half of the critical angle. So,
Angle of incidence = 68.4442° / 2 = 34.2221°
Using Snell's law as:
Where,
is the angle of incidence ( 34.2221° )
is the angle of refraction ( ? )
is the refractive index of the refraction medium (water, n=1.33)
is the refractive index of the incidence medium (glass, n=1.43)
Hence,
Angle of refraction= sin⁻¹ 0.6047 = 37°.
Total Money =$32
Cost of each ticket =$4
Let number of tickets be x
So
$4x=$32
X=32/4
X=$8
Capacitance C of a parallel plate capacitor is C=Q/V, where Q is the charge on the plates and V is the potential difference between the plates. The potential of the capacitor is then: V=Q/C.
The capacitance C is given by the equation C=k*ε₀*(A/d) where k is the dielectric constant, ε₀ is the permittivity of free space, A is the surface of the plate and d is the distance between the plates.
For vacuum and air, k=1 so the capacitance is C=ε₀*(A/d).
But when we insert a dielectric between the plates like teflon which has k=2.1 at T=20°C the capacitance becomes:
C₁=k*ε₀*(A/d)=2.1*ε₀*(A/d)=2.1*C.
We can see that the capacitance increases by k=2.1 which is the dielectric constant of teflon.
So the voltage V becomes:
V₁=Q/C₁=Q/(2.1*C)=(1/2.1)*(Q/C)=(1/2.1)*V=0.48*V.
V₁=0.48*V.
Potential difference decreases by 0.48 because we inserted teflon between the plates.
Answer:
14523.55J
Explanation:
The work done by the jogger against gravity is given by the following equation;
where m is the mass, g is acceleration due to gravity taken as and h is the height of the hill.
Since the length of the hill is 132m and it is inclined at 12 degrees to the horizontal, the height is thus given as follows;
Substituting this into equation (1) with all other necessary parameters, we obtain the following;