The time period of two pendulums of length 1 m and 16 m are in ratio :

1. 1 : 16
2. 1 : 4
3. 16 : 1
4. 4 : 1

The length of a simple pendulum is made one-fourth. Its time period becomes —

1. four times
2. one-fourth
3. double
4. half

Identify the incorrect statement(s) from the following :

(I) The time period of oscillations depends on the extent of swing on either side.

(II) The time period of oscillations is directly proportional to the square root of acceleration due to gravity.

(III) The time period of oscillations is inversely proportional to the square root of its effective length.

(IV) The time period of oscillations does not depend on the mass or material of the suspended body.

1. (II) and (III)
2. Only (II)
3. Only (IV)
4. (I), (II) and (III)

Assertion (A) : The unit used to measure speed is an example of a derived unit.

Reason (R) : Derived units can neither be changed nor can be related to any other fundamental unit.

1. both A and R are true and R is the correct explanation of A
2. both A and R are true and R is not the correct explanation of A
3. assertion is false but reason is true
4. assertion is true but reason is false