diameter and mass of a planet is double that earth. then time period of pendulum
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Time period of simple pendulum. t=2π gl
For earth: g= R G M E
For planet: M P =2M E R P =2R
For planet: M P =2M E R P =2RThus g p
For planet: M P =2M E R P =2RThus g p = (2R) 2
For planet: M P =2M E R P =2RThus g p = (2R) 2 G(2M E )
For planet: M P =2M E R P =2RThus g p = (2R) 2 G(2M E ) ⟹g p
= 2g
Now, √ t E / √t p
= √g/2g
= √g/2g
= √g/2g
= √g/2g
= √g/2g ⟹t p
= √g/2g ⟹t p
= √g/2g ⟹t p = 2 t E
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