Physics, asked by superhero331, 2 days ago

The period of oscillations of a simple pendulum is found to depend on its
length (l) and acceleration due to gravity (g) at a place. Obtain the relationship
among the physical quantities using dimensional analysis

Answers

Answered by SSC553
0

Explanation:

The period of oscillation of a simple pendulum is expected to depend upon the length of the pendulum (l), and acceleration due to gravity (g). The constant of proportionality is 2π. Then T =

A

g

2πl

B

l

g

C

g

l

D

l

2πg

Solution

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Correct option is

C

g

l

T∝L

α

g

β

M

0

L

0

T

1

=L

α

(LT

−2

)

β

M

0

L

0

T

1

=L

α+β

T

−2β

⇒α+β=0,−2β=+1

⇒α=

2

1

,β=−

2

1

⇒T=2π

g

l

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