Question

What is the LENGTH of a rod of length 100m in a frame of reference which is moving with velocity 0.6C.

What if the angle between direction of motion and the rod is 30°.

Answer 1

Answer:

Given : Rest length L

o

=1 m

Length of the moving rod L=L

o

1−(

c

v

)

2

where c=3×10

8

m/s

(a) : v=3×10

5

m/s ⟹L

a

= 1×

1−(

3×10

8

3×10

5

)

2

=0.99999 m

(b) : v=3×10

6

m/s ⟹L

b

= 1×

1−(

3×10

8

3×10

6

)

2

=0.99995 m

(c) : v=3×10

7

m/s ⟹L

b

= 1×

1−(

3×10

8

3×10

7

)

2

=0.99499 m