A particle of mass 0.50 ~kg executes simple harmonic motion under… - Vidyadip

MCQ

A particle of mass $0.50 \mathrm{~kg}$ executes simple harmonic motion under force $\mathrm{F}=-50\left(\mathrm{Nm}^{-1}\right) \mathrm{x}$. The time period of oscillation is $\frac{x}{35} s$. The value of $x$ is . . . . .(Given $\pi=\frac{22}{7}$ )

A
$21$
✓
$22$
C
$23$
D
$24$

✓

Answer

Correct option: B.

$22$

b
$\mathrm{m}=0.5 \mathrm{~kg}$

$\mathrm{~F}=-50(\mathrm{x})$

$\mathrm{ma}=(-50 \mathrm{x})$

$0.5 \mathrm{a}=-50 \mathrm{x}$

$\mathrm{a}=(-100 \mathrm{x})$

$\mathrm{W}^2=100 \Rightarrow(\mathrm{w}=10)$

$\mathrm{T}=\frac{2 \pi}{10}=\left(\frac{\pi}{5}\right)=\frac{22}{7 \times 15}=\left(\frac{22}{35}\right)$

$\frac{\pi}{35}=\frac{22}{35} \Rightarrow \mathrm{x}=22$

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 13. oscillations→13. oscillations — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Two vibrating tuning forks produce progressive waves given by ${Y_1} = 4\sin 500\pi t$ and ${Y_2} = 2\sin 506\pi t.$ Number of beats produced per minute is

The rate of heat flow through the cross-section of the rod shown in figure is ($T_2 > T_1$ and thermal conductivity of the material of the rod is $K$)

A ball is projected upwards from the top of a tower with a velocity of $50\, ms^{-1}$ making an angle of $30^o$ with the horizontal. The height of the tower is $70\, m$. After how many seconds from the instant of throwing will the ball reach the ground ?.......$s$

Which of the following equation does not represent a simple harmonic motion

A particle is projected from a tower of height $40\ m$ in horizontal direction. Due to wind a constant acceleration is provided to the particle opposite to its initial velocity. If particle hits the ground (at the bottom of the tower) at an angle $37^o$ with horizontal, then find acceleration provided by wind to the particle

Consider a planet in some solar system which has a mass double the mass of the earth and density equal to the average density of the earth. An object weighing $W$ on the earth will weight.

A block rests on a rough inclined plane making an angle of ${30^o}$ with the horizontal. The coefficient of static friction between the block and the plane is $0.8$. If the frictional force on the block is $10 \,N$, the mass of the block (in kg) is (take $g = 10\,\,m/{s^2})$

Starting from the rest, at the same time, a ring, a coin and a solid ball of same mass roll down an incline without slipping .The ratio of their translational kinetic energies at the bottom will be

On producing the waves of frequency $1000 Hz$ in a Kundt's tube, the total distance between $6$ successive nodes is $ 85 cm.$ Speed of sound in the gas filled in the tube is ..... $m/s$

A mass of $20\ kg$ is hanging with support of two strings of same linear mass density. Now pulses are generated in both strings at same time near the joint at mass. Ratio of time, taken by a pulse travel through string $1$ to that taken by pulse on string $2$ is