A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of ${10}^{12}$/sec. What is the force constant of the bonds connecting one atom with the other? (Mole wt. of silver $=108$ and Avagadro number $=6.02\times {10}^{23}$ gm $mo{l}^{-1}$).

Q. A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of ${10}^{12}/sec.$ What is the force constant of the bonds connecting one atom with the other ? (Molecular wt. of silver $=108g$ and Avagadro number $=6.02\times {10}^{23}gm$ mole ${}^{-1}$ )

Q. The mass $2\text{kg}$ shown in figure oscillates in simple harmonic motion with amplitude $1\text{m}$. The amplitude of point $\text{P}$ is
$(K_1=100\text{N/m},K_2=500\text{N/m})$

Q. The energy $E$ of an oscillating body in simple harmonic motion depends on its mass $m$, frequency $n$ and amplitude $a$. Using the method of dimensional analysis find the relation between $E,m,n$ and $a$.

Q. A uniform disc of mass m and radius R is connected with two light springs 1 and 2 . The springs are connected at the highest point M and the center of mass (CM) 'N' of the disc. The other ends of the springs are rigidly attached with vertical walls. If we shift the CM in horizontal direction by a small distance, the disc oscillates simple harmonically. Assuming a perfect rolling of the disc on the horizontal surcface, the angular frequency of oscillation is (answer upto two decimal places) $(Take{k}_1=10N/m,k_2=20N/m,m=10kg)$

Q. A uniform disc of mass m and radius R is connected with two light springs 1 and 2 . The springs are connected at the highest point M and the center of mass (CM) 'N' of the disc. The other ends of the springs are rigidly attached with vertical walls. If we shift the CM in horizontal direction by a small distance, the disc oscillates simple harmonically. Assuming a perfect rolling of the disc on the horizontal surcface, the angular frequency of oscillation is (answer upto two decimal places) $(Take{k}_1=10N/m,k_2=20N/m,m=10kg)$