The angular frequency of a spring block system is _0. This system… - Vidyadip

MCQ

The angular frequency of a spring block system is $\omega _0.$ This system is suspended from the ceiling of an elevator moving downwards with a constant speed $v_0.$ The block is at rest relative to the elevator. Lift is suddenly stopped. Assuming the downwards as a positive direction, choose the wrong statement :

A
The amplitude of the block is $\frac{v_0}{\omega _0}$
✓
The initial phase of the block is $\pi .$
C
The equation of motion for the block is $\frac{v_0}{\omega _0} \sin \omega _0\,t.$
D
The maximum speed of the block is $v_0.$

✓

Answer

Correct option: B.

The initial phase of the block is $\pi .$

b
since $V_{0}$ is the maximum speed of the ball in its equilibrium position. $\therefore V_{0}=\omega_{0} A$

$A=\frac{V_{0}}{\omega_{0}}$

So equation of motion becomes $\frac{V_{0}}{\omega_{0}}=A \sin \omega_{0} t$ as there was no initial phase in the $SHM.$

There was no initial phase in the $SHM.$

Hence $B$ is correct.

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→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

_________________ are units of physical quantity that can be expressed as a combination of fundamental physical quantities.

The decay constant of a radioactive sample is $\lambda.$ The half-life and the average-life of the sample are respectively:

$\frac{1}{\lambda}$ and $\Big(\text{ln}\frac{2}{\lambda}\Big)$
$\Big(\text{ln}\frac{2}{\lambda}\Big)$ and $\frac{1}{\lambda}$
$\lambda(\text{ln}2)$ and $\frac{1}{\lambda}$
$\frac{\lambda}{(\text{ln})2}$ and $\frac{1}{\lambda}$

Under constant temperature, graph between $P$ and $1/V$ is

A block of mass $40 \,kg$ slides over a surface, when a mass of $4 \,kg$ is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is $0.02$. The acceleration of block is ............ $ms ^{-2}$ (Given $g =10 \,ms ^{-2}$.)

Three forces start acting simultaneously on a particle moving with velocity $\vec{\text{v}.}$ These forces are represented in magnitude and direction by three sides of a triangle taken in the same order. The particle will now move with a velocity.

$300\, gm$ of water at $25°C$ is added to $100\, gm$ of ice at $0°C$. The final temperature of the mixture is........ $^oC$

$A$ thin uniform straight rod of mass $2\, kg$ and length $1\, m$ is free to rotate about its upper end when at rest. It receives an impulsive blow of $10\, Ns$ at its lowest point, normal to its length as shown in figure. The kinetic energy of rod just after impact is ........ $J$

A parachutist with total weight $75 \,kg$ drops vertically onto a sandy ground with a speed of $2 \,ms ^{-1}$ and comes to halt over a distance of $0.25 \,m$. The average force from the ground on her is close to ............ $N$

Three objects $A, B$ and $C$ are kept in a straight line on a frictionless horizontal surface. The masses of ${A}, {B}$ and ${C}$ are ${m}, 2\, {m}$ and $2\, {m}$ respectively. $A$ moves towards ${B}$ with a speed of $9$ ${m} / {s}$ and makes an elastic collision with it. Thereafter $B$ makes a completely inelastic collision with $C.$ All motions occur along same straight line. The final speed of $C$ is $....\,{m} / {s}$

Two trains ' $A$ ' and ' $B$ ' of length ' $l$ ' and ' $4 l$ ' are travelling into a tunnel of length ' $L$ ' in parallel tracks from opposite directions with velocities $108\,km / h$ and $72\,km / h$, respectively. If train '$A$' takes $35\,s$ less time than train ' $B$ ' to cross the tunnel then, length ' $L$ ' of tunnel is $...........\,m$

$\text { (Given } L=60 l \text { ) }$