Physics-Physical Quantities

NEET Physics Physical Quantities MCQ Question

Type: MCQ-diagram based-Medium-Class 11

Consider a diagram representing a simple pendulum, with the length of the pendulum labeled as ll and gravitational acceleration as gg. According to dimensional analysis, which of the following expressions correctly represents the period TT of the pendulum?

Question diagram
A

T=klgT = k \sqrt{\frac{l}{g}}

B

T=lgkT = \frac{l \cdot g}{k}

C

T=klgT = k \cdot \frac{l}{g}

D

T=klgT = k \cdot l \cdot g

Correct Answer

Option A

Detailed Explanation

Dimensional analysis shows that the period TT of a pendulum is given by T=klgT = k \sqrt{\frac{l}{g}}, as it ensures dimensional consistency between both sides of the equation.

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