New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Simple Harmonic Motion question

2014 · Shift 0 · Q62

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Physics
Simple Harmonic Motion
2014 · Shift 0 · Q62

Simple Harmonic Motion question

2014 · Shift 0 · Q62

JEE MainPhysicsSimple Harmonic MotionMCQ+4 / −1

A particle moves with simple harmonic motion in a straight line. In first

\tau s,

after starting from rest it travels a distance

a,

and in next

\tau s

it travels

2a,

in same direction, then:

A
amplitude of motion is $3a$
B
time period of oscillations is $8\tau$
C
amplitude of motion is $4a$
D
time period of oscillations is $6\tau$

More from Simple Harmonic Motion

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass $V_{0}$ The piston and the cylinder have equal cross sectional area $A$ . When the piston is in equilibrium, the volume of the gas is $V_{0}$ and…2013 · MCQ
Two particles are executing simple harmonic motion of the same amplitude $A$ and frequency $ω$ along the $x$ -axis. Their mean position is separated by distance $X_{0} (X_{0} > A)$ . If the maximum separation between…2011 · MCQ
A mass $M,$ attached to a horizontal spring, executes $S . H . M .$ with amplitude $A_{1} .$ When the mass $M$ passes through its mean position then a smaller mass $m$ is placed over it and both of them move together with amplitude $A_{2} .$ The…2011 · MCQ
If $x, v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T,$ then, which of the following does not change with time?2009 · MCQ
The displacement of an object attached to a spring and executing simple harmonic motion is given by $x = 2 \times 1 0^{- 2} cos π t$ metre. The time at which the maximum speed first occurs is2007 · MCQ
A point mass oscillates along the $x$ -axis according to the law $x = x_{0} cos (ω t - π /4) .$ If the acceleration of the particle is written as $a = A cos (ω t + δ),$ then2007 · MCQ
Two springs, of force constant $k_{1}$ and $k_{2}$ are connected to a mass $k_{1}$ as shown. The frequency of oscillation of the mass is $f .$ If both $k_{1}$ and $k_{2}$ are made four times their original values, the frequency of oscillation… Includes diagram2007 · MCQ
A particle of mass $m$ executes simple harmonic motion with amplitude a and frequency $v .$ The average kinetic energy during its motion from the position of equilibrium to the end is2007 · MCQ