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BITSAT 2024Paper 2
Exam
BITSAT
Year
2024
Paper
Paper 2
Subject
Physics
Chapter
Gravitation

BITSAT 2024 · Paper 2 · Physics · Gravitation

The distance between Sun and Earth is R . The duration of year if...

The distance between Sun and Earth is RR. The duration of year if the distance between Sun and Earth becomes 3R3 R will be:

Options

  1. A3\sqrt{3} years
  2. B3 years
  3. C9 years
  4. D333 \sqrt{3} years

Correct answer

D. 333 \sqrt{3} years

Step-by-step solution

Basically 1 year is equal to time period of earth revolution around sun. So, Ti=1T_i=1 year Now, T2∝R3∴(T2T1)2=(R2R1)3⇒T2=(R2R1)3/2T1=(3RR)3/2×1=33T^2 \propto R^3\therefore\left(\frac{T_2}{T_1}\right)^2=\left(\frac{R_2}{R_1}\right)^3\Rightarrow T_2=\left(\frac{R_2}{R_1}\right)^{3 / 2} T_1=\left(\frac{3 R}{R}\right)^{3 / 2} \times 1=3 \sqrt{3} years.
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