A pendulum beats faster than a standard pendulum. In order to bring it to the standard beat, the length of the pendulum is to be

The time period (T) of a simple pendulum is the time taken to complete one oscillation. It is governed by the formula T = 2π√(L/g), where L is the length and g is the acceleration due to gravity. This relationship indicates that the time period is directly proportional to the square root of the length. If a pendulum 'beats faster' than a standard pendulum, it means its time period is too short (it completes oscillations too quickly). To bring it to the standard beat, the time period must be increased. According to the formula, increasing the length (L) will increase the time period (T), thereby slowing down the beat to match the standard. The mass of the bob does not affect the time period of a simple pendulum [1]. Therefore, the length must be increased.

Sources

1. [1] Science-Class VII . NCERT(Revised ed 2025) > Chapter 8: Measurement of Time and Motion > THINK LIKE A SCIENTIST! > p. 110