Question 2 :
State whether true or false.<br/>Piston of the engine in a motor car exhibits Oscillatory motion.
Question 3 :
For a body in $S.H.M$ the velocity is given by the relation $v=\sqrt{144-16x^2}m/sec$. The maximum acceleration is
Question 4 :
Which of the following is not a characteristic of simple harmonic motion?
Question 5 :
A particle is executing SHM of period 4s.Then the time taken by it to move from thr extreme position to $\frac{\sqrt 3}{2}$ of the amplitude is:
Question 6 :
The velocity of a particle performing simple harmonic motion, when it passes through its mean position is
Question 7 :
Which of the following statements is/are correct<br>(i) The distance between two consecutive compressions is called frequency of sound wave<br>(ii) Sound propagates as pressure variations<br>(iii) Compressions are narrower in a high pitched sound
Question 8 :
The total energy of the body executing $SHM$ is $E$. Then the kinetic energy when the displacement is half of the amplitude, is:
Question 9 :
The mass of particle executing S.H.M is 1 gm.If its periodic time is $\pi $ seconds, the value of force constant is:-
Question 10 :
A particle is executing simple harmonic motion with an amplitude of 0.02 meter and frequency 50$\mathrm { Hz }$ The maximum acceleration of the particle is
Question 11 :
In an engine the piston undergoes vertical simple harmonic motion with amplitude $7\ cm$. A washer rests on top of the piston and moves with it. The motor speed is slowly increased. The frequency of the piston at which the washer no longer stays in contact with the piston, is close to :
Question 12 :
A mass $m$ is suspedend from the two coupled springs connected in series. The force constant for springs are $K_1$ and $K_2$. The time period of the suspended mass will be
Question 14 :
A spring has natural length $40$ cm and spring constant $500 N/m$. A block of mass $1 kg$ is attached at one end of the spring and other end of the spring is attached to a ceiling. The block is released from the position, where the spring has length $45 cm$:<br>
Question 15 :
The displacement of a particle executing SHM is given by<br>$y\,=\,5\,\sin \, 4t\,+\,\displaystyle \frac{\pi}{3}$<br>If $T$ is the time period and the mass of the particle is $2$ g, the kinetic energy of the particle when $t\,=\,\displaystyle \frac{T}{4}$ is given by
Question 16 :
The amplitude of a particle executing SHM about O is 10 cm. Then:
Question 17 :
Time period of a particle executing $SHM$ is $8\ sec$. At $t=0$ it is at the mean position. The ratio of the distance covered by the particle in the $1st$ second to the $2nd$ second is :