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Q1 A spherical water drop, when deformed slightly, oscillates about its equilibrium shape. The frequency of this oscillation f. can be described by its mass M, radius R and a third variable X, where X is either the universal gravitational constant G or the surface tension S. Using the appropriate variable f can be expressed as

Q5 A particle of mass 1 kg is initially at rest at the point . The particle is subjected to a force at time , where . The angular momentum and torque acting on the particle with respect to the origin, in SI units, are represented by and respectively. Which of the following statement is/are correct?

Q7 A liquid of density is slowly poured from a beaker into an empty cylindrical glass of cross sectional area resting on a table at a constant volume rate of . The beaker is at height from the table, and the water exits the beaker with negligible speed. Let be the time at which water initially hits the bottom of the glass and let be the height of liquid in the glass at time Assuming the water doesn’t overflow, which of the following option is/are correct ?


00:00 Introduction
00:46 Q1 Dimensions
03:40 Q5 Rotation
12:28 Q7 Fluids

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