Engineer & Medical

Oscillations question bank (Physics)

Practice 1,372 free Engineer & Medical Physics - Oscillations questions with answers and step-by-step solutions.

Q1.

The frequency of oscillation of a mass $m$ suspended by a spring is $v_1$. If the length of the spring is cut to half, the same mass oscillates with frequency $v_2$. The value of $v_2/v_1$ is ________.

(A)
$1$
(B)
$2$
(C)
$\sqrt{2}$
(D)
$\sqrt{3}$
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Q2.

A spring stretches by $2$ mm when it is loaded with a mass of $200$ g. From equilibrium position the mass is further pulled down by $2$ mm and released. The frequency associated with the system and maximum energy in the spring are __________ Hz and __________ J, respectively. (Take g $= 10$ m/s$^2$)

(A)
$\dfrac{5\sqrt{50}}{\pi}$ and $8 \times 10^{-3}$
(B)
$\dfrac{5\sqrt{50}}{\pi}$ and $8$
(C)
$10\sqrt{50}$ and $2 \times 10^{-3}$
(D)
$\dfrac{5\sqrt{50}}{\pi}$ and $16 \times 10^{-3}$
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