A spring has a certain mass suspended from it and its period for … - Vidyadip

MCQ

A spring has a certain mass suspended from it and its period for vertical oscillations is ' $T_1$ '. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now ' $T_2$ ' The ratio $T_1 / T_2$ is

A
2
✓
$\sqrt{2}$
C
$\frac{1}{\sqrt{2}}$
D
$\frac{1}{2}$

✓

Answer

Correct option: B.

$\sqrt{2}$

(b) : When the spring cut into half, the spring constant becomes doubled.
As, $T \propto \frac{1}{\sqrt{k}} \quad \therefore \frac{T_2}{T_1}=\sqrt{\frac{k_1}{k_2}}=\sqrt{\frac{k}{2 k}} \quad \Rightarrow \frac{T_1}{T_2}=\sqrt{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Oscillations→Oscillations — all question types→Physics STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Two perfectly black spheres $A$ and $B$ having radii $8 cm$ and $2 cm$ are maintained at temperatures $127^{\circ} C$ and $527^{\circ} C$ respectively. The ratio of the energy radiated by $A$ to that by $B$ is

A disc of moment of inertia $I_1$ is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane with constant angular speed $\omega_1$. Another disc of moment of inertia $I_2$ having zero angular speed is placed coaxially on a rotating disc. Now both the discs are rotating with constant angular speed $\omega_2$. The energy lost by the initial rotating disc is

Velocity of a transverse wave along a stretched string is proportional to IT = tension in the string]

Which of the following molecules is nonpolar?

An air bubble just inside a soap solution and a soap bubble blown using the same solution have their radii in the ratio $3: 2$. The ratio of the excess pressure inside them is

A parallel plate capacitor is charged and then isolated. The effect of increasing the plate separation on the charge, potential, capacitance respectively are

If the ratio of the intensities of two waves producing interference is $49: 16$, then the ratio of the resultant maximum intensity to minimum intensity will be

Water flows in a streamlined flow through the pipe shown in the following figure. The pressure:

When open pipe is closed from one end then third overtone of closed pipe is higher in frequency by $150 Hz$ than second overtone of open pipe. The fundamental frequency of open end pipe will be

A gas at N.T.P. is suddenly compressed to one-fourth of its original volume. If $\gamma=1.5$, then the final pressure is