Concept explainers
<a>
Relativistic factor for speed
<a>
Answer to Problem 15P
The relativistic factor for speed
Explanation of Solution
Write the equation for the relativistic factor. Thus,
Because
Convert, speed kilometer per hour to meter per second. Thus
Here,
Further simplify the above equation. Thus,
Substitute the value of the
Substitute
Conclusion:
Therefore, relativistic factor for speed
<b>
Relativistic factor for
<b>
Answer to Problem 15P
The relativistic factor for
Explanation of Solution
Write the equation for the relativistic factor. Thus,
Because
Here,
Further simplify the above equation. Thus,
Substitute the value of the
Substitute
Conclusion:
Therefore, relativistic factor for
<c>
The ratio
<c>
Answer to Problem 15P
The relativistic factor for an airplane travelling with 2.3 Mach is
Explanation of Solution
Write the equation for the relativistic factor. Thus,
Because
Velocity of the sound in the is
Write the formula for the conversion of the speed of the supersonic plane from Mach to meter per second. Thus,
Substitute
Here,
Further simplify the above equation. Thus,
Substitute the value of the
Substitute
Simplify the above equation. Thus,
Conclusion:
Therefore, the relativistic factor for speed
<d>
The relativistic factor for
<d>
Answer to Problem 15P
The relativistic factor for
Explanation of Solution
Write the equation for the relativistic factor. Thus,
Because
Convert, speed kilometer per hour to meter per second. Thus
Here,
Further simplify the above equation. Thus,
Substitute the value of the
Substitute
Conclusion:
Therefore, the relativistic factor for
<e>
The relativistic factor, when an electron covering a distance 25 cm in 2 ns.
<e>
Answer to Problem 15P
The relativistic factor, when an electron covering a distance 25 cm in 2 ns is 1.10.
Explanation of Solution
Write the equation for the relativistic factor. Thus,
Because
Write the equation to calculate the speed of the electron. Thus
Distance covered by the electron is 25 cm. Convert this distance in meter, thus,
Time taken by the electron to cover 25 cm is 2 ns. Convert this time in second, thus,
Substitute
Here,
Substitute
Substitute
Conclusion:
Therefore, the relativistic factor for
<f>
The relativistic factor, when an electron covering a distance
<f>
Answer to Problem 15P
The relativistic factor, when an electron covering a distance
Explanation of Solution
Write the equation for the relativistic factor. Thus,
Because
Write the equation to calculate the Speed of the electron. Thus
Distance covered by the electron is
Substitute
Here,
Substitute
Substitute
Conclusion:
Therefore, the relativistic factor for
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Chapter 2 Solutions
Modern Physics for Scientists and Engineers
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