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Topic Question Set

Q 21 :

A simple pendulum of string length 30 cm performs 20 oscillations in 10 s. The length of the string required for the pendulum to perform 40 oscillations in the same time duration is ______ cm. [Assume that the mass of the pendulum remains same.]             [2026]

  • 7.5

     

  • 0.75

     

  • 15

     

  • 120

     

(1)

 

Q 22 :

Two blocks with masses 100 g and 200 g are attached to the ends of springs A and B as shown in the figure. The energy stored in A is E. The energy stored in B, when spring constants kA and kB of A and B, respectively satisfy the relation 4kA=3kB is:             [2026]

  • 2E

     

  • 4E

     

  • 43E

     

  • 3E

     

(4)

 

Q 23 :

A spring of force constant 15 N/m is cut into two pieces. If the ratio of their lengths is 1 : 3, then the force constant of the smaller piece is ______ N/m.        [2026]

  • 20

     

  • 60

     

  • 45

     

  • 15

     

(2)

 

Q 24 :

As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a separation more than spring natural length and are released. Assuming the horizontal surface to be frictionless, the angular frequency (in SI unit) of the system is: [2026]

  • 30

     

  • 20

     

  • 27

     

  • 5

     

(1)