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NEET-XII-Physics

47: The Special Theory of Relativity

with Solutions - page 3
Qstn# iv-8-a Prvs-QstnNext-Qstn
  • #8-a
    Find the time interval calculated by him between the consecutive birthday celebrations of his friend on the earth. (b) Find the time interval calculated by the friend on the earth between the consecutive birthday celebrations of the traveller. (b) Find the time interval calculated by the friend on the earth between the consecutive birthday celebrations of the traveller.
    Ans : Proper time, t = 1 yr
    `` \,\mathrm{\,Time\,}intervalcalculatedbyhim=t\text{'}=\frac{t}{\sqrt{1-{u}^{2}/{c}^{2}}}``
    `` =\frac{1\,\mathrm{\,yr\,}}{\sqrt{1-{\displaystyle \frac{25{c}^{2}}{169{c}^{2}}}}}``
    `` =\frac{13}{12}\,\mathrm{\,yr\,}``
    `` ``
    Thus, the time interval calculated by him between the consecutive birthday celebrations of his friend on Earth is 13/12 years. (b) The friend on Earth also considers the same speed, so the time interval calculated by him is also 13/12 years.
    Page No 458: (b) The friend on Earth also considers the same speed, so the time interval calculated by him is also 13/12 years.
    Page No 458:
  • #8-b
    Find the time interval calculated by the friend on the earth between the consecutive birthday celebrations of the traveller.
    Ans : The friend on Earth also considers the same speed, so the time interval calculated by him is also 13/12 years.
    Page No 458: