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Answer: D meteoroid
Explanation:
Meteoroid is the smallest among them. It is a tiny asteroid or the broken-off crumb of comets and sometimes planets. It ranges in size from a grain of sand to boulders 3 feet (1 meter) wide. When meteoroids collide with a planet's atmosphere, they become meteors. If those meteors survive the atmosphere and hit the planet's surface, their remains are called meteorites
Answer:
85.62 m
168.75 years
101.04 years
Explanation:
= Length of ship = 143 m
v = Velocity of ship = 0.8c
c = Speed of light
s = Distance to Boralis orbit = 135 ly
Gamma value
![\gamma=\dfrac{1}{\sqrt{1-\dfrac{v^2}{c^2}}}\\\Rightarrow \gamma=\dfrac{1}{\sqrt{1-\dfrac{0.8^2c^2}{c^2}}}\\\Rightarrow \gamma=1.67](https://tex.z-dn.net/?f=%5Cgamma%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D%7D%5C%5C%5CRightarrow%20%5Cgamma%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7B0.8%5E2c%5E2%7D%7Bc%5E2%7D%7D%7D%5C%5C%5CRightarrow%20%5Cgamma%3D1.67)
Length contraction is given by
![L=\dfrac{L_0}{\gamma}\\\Rightarrow L=\dfrac{143}{1.67}\\\Rightarrow L=85.62\ m](https://tex.z-dn.net/?f=L%3D%5Cdfrac%7BL_0%7D%7B%5Cgamma%7D%5C%5C%5CRightarrow%20L%3D%5Cdfrac%7B143%7D%7B1.67%7D%5C%5C%5CRightarrow%20L%3D85.62%5C%20m)
The length is 85.62 m
Time taken
![t=\dfrac{s}{v}\\\Rightarrow t=\dfrac{135}{0.8}\\\Rightarrow t=168.75\ years](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7Bs%7D%7Bv%7D%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7B135%7D%7B0.8%7D%5C%5C%5CRightarrow%20t%3D168.75%5C%20years)
Time taken from the perspective one Earth is 168.75 years
Time dilation is given by
![t'=\dfrac{t}{\gamma}\\\Rightarrow t'=\dfrac{168.75}{1.67}\\\Rightarrow t'=101.04\ years](https://tex.z-dn.net/?f=t%27%3D%5Cdfrac%7Bt%7D%7B%5Cgamma%7D%5C%5C%5CRightarrow%20t%27%3D%5Cdfrac%7B168.75%7D%7B1.67%7D%5C%5C%5CRightarrow%20t%27%3D101.04%5C%20years)
The time taken from the perspective of the ship is 101.04 years
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)
![f_2 = f_0 (\dfrac{c + v}{c-v})](https://tex.z-dn.net/?f=f_2%20%3D%20f_0%20%28%5Cdfrac%7Bc%20%2B%20v%7D%7Bc-v%7D%29)
f₂ = 2.23 x 10⁶ + 258 = 2230258 Hz
f₀ = 2.23 x 10⁶ Hz
c = 1540 m/s
![2230258= 2230000(\dfrac{1540+ v}{1540-v})](https://tex.z-dn.net/?f=2230258%3D%202230000%28%5Cdfrac%7B1540%2B%20v%7D%7B1540-v%7D%29)
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