Given below are two statements: one is labelled as Assertion (A) and other is labelled as Reason (R))
Assertion (A): When a pendulum is taken to Moon, its time period will decrease.
Reason (R): At the Moon, the value of gravitational constant 'g' will increase that in turn decreases the time period of the pendulum.

Correct option is B

The correct answer is (b) (A) is correct but (R) is incorrect

Explanation:

• The time period of a simple pendulum is given by the formula:
  T = 2π √(l/g)
• On the Moon, the acceleration due to gravity (g) is one-sixth of that on Earth, meaning it decreases.
• Since the time period (T) is inversely proportional to the square root of g, a decrease in g leads to an increase in the time period. Therefore, statement (A) is correct.
• Reason (R) is incorrect because it states that the value of g will increase, which is not true for the Moon.

Information Booster:

• A pendulum clock will run slower on the Moon because the time period becomes longer.
• The time period of a simple pendulum is independent of the mass of the bob.

Additional Knowledge (Option Analysis):

• Both correct (Option a): Incorrect, because g actually decreases on the Moon.
• (A) incorrect (Option c): Incorrect, because the formula clearly shows the time period increases when g decreases.
• None (Option d): Incorrect, as statement (A) is a standard and proven physics fact.