JEE Main · 2005 · 08 May 2005 · Offline · Elasticity & SHM

Using a simple pendulum experiment g is determined by measuring its time period T. Which of the following plots represent the correct relation between the pendulum length L and time period T?

The kinetic energy of a simple harmonic oscillator is oscillating with angular frequency of $176\mathrm{rad}/\mathrm{s}$. The frequency of this simple harmonic oscillator is___ Hz. $[$ take $\pi =\frac{22}{7}]$

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.]

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

The strain-stress plot for materials A, B, C and D is shown in the figure. Which material has the largest Young's modulus?

A cylindrical block of mass M and area of cross section A is floating in a liquid of density $\rho$ and with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is