Question

An experimenter measures the length of a rod. Initially the experimenter and the rod are at rest with respect to the lab. Consider the following statements.
(A) If the rod starts moving parallel to its length but the observer stays at rest, the measured length will be reduced.
(B) If the rod stays at rest but the observer starts moving parallel to the measured length of the rod, the length will be reduced.
(a) A is true but B is false
(b) B is true but A is false
(c) Both A and B are true
(d) Both A and B are false

Answer 1

Answer:

Cis the correct answer for thee given mustion

Answer 2

An experimenter measures the length of a rod. Initially the experimenter and the rod are at rest with respect to the lab. Consider the following statements,which means that both A and B are true.

Explanation:

Parallel to its length lo1, if a road is moving with v as the speed and when the observer is at rest, then the new length is shown as $I=I01-v 2 c 2$

It is to be noted that $v<c$

Therefore, $\mathrm{v} 2 \mathrm{c} 2<1$

$\Rightarrow 1-v 2 c 2<1$

So,$1 \leq 10$. This is the case when the rod is relaxing and with speed v,  the observer is traversing parallel to measured rod’s length. And, the length of the rod is shown as l = $101-(-v) 2 c 2$.

Therefore, $-v c 2<1$

$\Rightarrow 1<10$

So, in both the cases, there will be the reduction of length.