Answer:
Please see below as the answer is self-explanatory.
Explanation:
- In order to have a destructive interference, the path difference between the sources of the sound, must be equal to an odd multiple of the semi-wavelength, as follows:
- The minimum posible value for this distance, is when n=1, as it can be seen here:
- In any traveling wave, there exists a fixed relationship between the wave speed, the frequency and the wavelength:
- Therefore, assuming that the speed of sound keeps constant, if the frequency is increased, in order to keep the right side of the expression above balanced, λ must be decreased.
- As the smallest separation that produces destructive interference is directly proportional to the wavelength, this means that this separation will decrease if the cellists produced a note with a higher frequency.
Answer:
49 A
Explanation:
We are given that
Number of turns,N=1
Radius,r=14 cm=
1 m=100 cm
Magnetic field,B=0.7 G=
We know that magnetic field
Substitute the values
Answer:
the answers should be B and D
It sounds as though the two people are standing in front of the boat on opposite sides of it, so that they both make an angle of 30.0° with the axis of the boat, as in the attached free body diagram (ignoring the force of buoyancy and the weight of the boat).
By Newton's second law, the net vertical force is
∑ <em>F</em> = <em>P</em>₁ sin(60.0°) + <em>P</em>₂ sin(120.0°) - <em>R</em> = 0
where upward is positive and downward is negative, and the right side is 0 because the boat moves with constant velocity and thus zero acceleration.
We're told that <em>P</em>₁ = <em>P</em>₂ = 600 N, and we know sin(60°) = sin(120°), so the above reduces to
<em>R</em> = 2 <em>P</em> sin(60.0°) = 2 (600 N) sin(60.0°) ≈ 1040 N
Answer: ratio = 3.14 × 10³⁵
Explanation:
From Newtons law of Universal Gravitation;
Every object in the universe is attracted to every other object
F = (Gm₁m₂)/r²
G = 6.67 X 10⁻¹¹ N-m²/kg²
M₁= mass of one object
M₂= mass of second object
r = distance from center of objects
q = charge = 3.2 x 10⁻¹⁹C.
- Calculating the gravitational force;
Fg = (Gm₁m₂)/r² = (Gm²)/r²
which is = (6.67×10⁻¹¹ × (6.64×10⁻²⁷)²) / r²
= (2.94 × 10⁻⁶³) / r²
- Calculating the electric force;
Fe = (Kq₁q₂) / r² = K q² / r² = (9×10⁹ × (3.2 × 10⁻¹⁹)² / r²
Fe = 9.22 × 10⁻²⁸ / r²
comparing the ratio of both forces we have;
Fe/Fg = (9.22×10⁻²⁸/r²) ÷ (2.94×10⁻⁶³/r²)
r² cancels from the above expression, which gives;
ratio as 3.14 × 10³⁵
