Applying the principle of homogeneity | Physics |JEEMain2024

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JEE Main 2024

04-04-2024 S2

Question

Applying the principle of homogeneity of dimensions, determine which one is correct. where T is time period, G is gravitational constant, M is mass, r is radius of orbit.

Select the correct option:

A

$\mathrm{T}^2=\frac{4 \pi^2 \mathrm{r}}{\mathrm{GM}^2}$

B

$\mathrm{T}^2=4 \pi^2 \mathrm{r}^3$

C

$\mathrm{T}^2=\frac{4 \pi^2 \mathrm{r}^3}{\mathrm{GM}}$

D

$\mathrm{T}^2=\frac{4 \pi^2 \mathrm{r}^2}{\mathrm{GM}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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