MCQ
A particle executes $S.H.M.$ with a period of $6$ second and amplitude of $3\, cm$. Its maximum speed in $cm/sec$ is
  • A
    $\pi /2$
  • $\pi $
  • C
    $2\pi $
  • D
    $3\pi $

Answer

Correct option: B.
$\pi $
b
(b) ${v_{\max }} = a\omega = a\frac{{2\pi }}{T} = 3 \times \frac{{2\pi }}{6} = \pi \,cm/s$

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

Similar questions

A projectile is thrown with an initial velocity of $(a \hat{ i }+b \hat{ j }) ms ^{-1}$. If the range of the projectile is twice the maximum height reached by it, then
Which of the following most closely depicts the correct variation of the gravitational potential $V(r)$ due to a large planet of radius $R$ and uniform mass density ? (figures are not drawn to scale)
A particle is acted simultaneously by mutually perpendicular simple hormonic motions $\text{x}=\text{a}\cos\omega\text{t}\ \text{and}\ \text{y}=\text{a}\sin\omega\text{t}.$ The trajectory of motion of the particle will be:
The weight of a body at the centre of the earth is
A metallic rod of length $I$ and cross-sectional area $A$ is made of a material of Young's modulus $Y$. If the rod is elongated by an amount $y$, then the work done is proportional to ......
Two spheres made of same material have radii in the ratio $1: 2$ Both are at same temperature. Ratio of heat radiation energy emitted per second by them is
An aeroplane is moving with a velocity $u$. It drops a packet from a height $h$. The time $t$ taken by the packet in reaching the ground will be
$A$ and $B$ possess unequal dimensional formula then following operation is not possible in any case:-
A uniform rod $AB$ of length $l$ and mass $m$ is free to rotate about point $A$ . The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about $A$ is $\frac {ml^2}{3}$ , the initial angular acceleration of the rod will be 
A rifle man, who together with his rifle has a mass of $100\,kg$, stands on a smooth surface and fires $10$ shots horizontally. Each bullet has a mass $10\,g$ and a muzzle velocity of $800\,ms ^{-1}$. The velocity which the rifle man attains after firing $10$ shots is $..........\,ms^{-1}$