Download App

Simple Harmonic Motion — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsSimple Harmonic Motion1 Mark
Question
A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one part is used to continue the simple harmonic motion, the time period will:
  1. Remain T
  2. Become 2T
  3. Become $\frac{\text{T}}{2}$
  4. Become $\frac{\text{T}}{\sqrt{2}}$
✓

Answer

  1.  Become $\frac{\text{T}}{\sqrt{2}}$

Explanation:

Time period (T) is given by,

$\text{T}=2\pi\sqrt{\frac{\text{m}}{\text{k}}}$

where m is the mass, and k is spring constant.

When the spring is divided into two parts, the new spring constant k1 is given as,

$\text{k}_1=2\text{k}$

New time period T1:

$\text{T}_1=2\pi\sqrt{\frac{\text{m}}{2\text{k}}}=\frac{1}{\sqrt{2}}2\pi\sqrt{\frac{\text{m}}{\text{k}}}=\frac{1}{\sqrt{2}}\text{T}$ 

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 Simple Harmonic Motion→Simple Harmonic Motion — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

An LR circuit with a battery is connected at t = 0. Which of the following quantities is not zero just after the connection?
  1. Current in the circuit.
  2. Magnetic field energy in the inductor.
  3. Power delivered by the battery.
  4. Emf induced in the inductor.
→
The correct increasing order for modulus of elasticity for copper, steel, glass and rubber is
→
The absolute temperatures of two black bodies are $2000 K$ and $3000 K$ respectively. The ratio of wavelengths corresponding to maximum emission of radiation by them will be
→
To a person, going eastward in a car with a velocity of $25\, km/hr$, a train appears to move towards north with a velocity of $25\sqrt 3 $ $km/hr$. The actual velocity of the train will be..........$km/hr$
→
If the velocity of an object is doubled then its kinetic energy:
→
$Y = A \sin \left(\omega t +\phi_{0}\right)$ is the time-displacement equation of a SHM. At $t=0$ the displacement of the particle is $Y =\frac{ A }{2}$ and it is moving along negative $x$ -direction. Then the initial phase angle $\phi_{0}$ will be ...... .
→
What is the moment of inertia of a ring about a tangent to the periphery of the ring?
→
A body is uniformly rotating about an axis fixed in an inertial frame of reference. Let $\overrightarrow{\text{A}}$ be a unit vector along the axis of rotation and $\overrightarrow{\text{B}}$ be the unit vector along the resultant force on a particle P of the body away from the axis. The value of $\overrightarrow{\text{A}}.\overrightarrow{\text{B}}$ is:
→
A particle is projected from the ground at an angle of $\theta $ with the horizontal with an initial speed of $u$. Time after which velocity vector of the projectile is perpendicular to the initial velocity is
→
The net applied force on a body in uniform circular motion should always be
→