The Doppler effect using ultrasonic waves of frequency 2.23×106 Hz is used to monitor the heartbeat of a fetus. A (maximum) beat
1 answer:
Answer:
v = 8.89 cm/s
Explanation:
given,
frequency of ultrasonic wave = 2.23 x 10⁶ Hz
beat frequency = 258 Hz
speed of sound in the tissue = 1.54×10³ m/s
maximum velocity = ?
using Doppler equation
..........(1)
..........(2)
now, from equation (1) and (2)
f₂ = 2.23 x 10⁶ + 258 = 2230258 Hz
f₀ = 2.23 x 10⁶ Hz
c = 1540 m/s
1.00012(1540 - v ) = 1540+ v
1540.178 - 1.00012 v = 1540 + v
2.00012 v = 0.178
v = 0.08899 m/s
v = 8.89 cm/s
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Answer:
the coefficient of volume expansion of the glass is
Explanation:
Given that:
Initial volume of the glass flask = 1000 cm³ = 10⁻³ m³
temperature of the glass flask and mercury= 1.00° C
After heat is applied ; the final temperature = 52.00° C
Temperature change ΔT = 52.00° C - 1.00° C = 51.00° C
Volume of the mercury overflow = 8.50 cm^3 = 8.50 × 10⁻⁶ m³
the coefficient of volume expansion of mercury is 1.80 × 10⁻⁴ / K
The increase in the volume of the mercury = 10⁻³ m³ × 51.00 × 1.80 × 10⁻⁴
The increase in the volume of the mercury =
Increase in volume of the glass = 10⁻³ × 51.00 ×
Now; the mercury overflow = Increase in volume of the mercury - increase in the volume of the flask
the mercury overflow =
Thus; the coefficient of volume expansion of the glass is