How long must a mathematical pendulum be so that it oscillates with a period of 1 s on the surface of Mars?

How long must a mathematical pendulum be so that it oscillates with a period of 1 s on the surface of Mars? The radius of the planet Mars is 0.53 that of the Earth, and the mass is 0.11 that of the Earth.

The length of the mathematical pendulum can be expressed from the formula T = 2π√ (L / g)
The magnitude of the free fall acceleration for Mars is found by comparing it with the Earth from the law of universal gravitation. gm / gz = (Mm / Mz) * (Rz / Rm) ^ 2 Taking gz = 9.8 m / s2, we get gm = 3.8 m / s2. Therefore, the length of the pendulum on Mars will be 9.7 cm

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