If the time interval between the occurrence of two events is measured in a frame with no relative motion in which two events occur. Then the time measured by the observer in a frame moving with relative velocity v is _.
Correct answer: B. t = t0 / √(1-v²/c²)
- A. t = t0 * √(1-v²/c²)
- B. t = t0 / √(1-v²/c²)
- C. t = t0 * (1-v²/c²)^{3/2}
- D. t = t0 / (1-v²/c²)
Explanation
The correct answer is Option B: t = t0 / √(1-v²/c²). This formula arises from the theory of special relativity and describes time dilation, which states that time measured in a moving frame appears to be longer compared to a stationary frame. The Lorentz factor, √(1-v²/c²), accounts for the effects of relative motion on the perception of time. The other options incorrectly apply or modify this factor, resulting in incorrect calculations of time dilation.
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