MCQ
A particle executes $SHM$ with amplitude of $20 \,cm$ and time period is $12\, sec$. What is the minimum time required for it to move between two points $10\, cm$ on either side of the mean position ..... $\sec$ ?
- A$1$
- ✓$2$
- C$3$
- D$4$
✓
Answer
Correct option: B.
$2$
b
$X=A \sin \omega t$
$X=A \sin \omega t$
or $10=20 \sin \omega t$
$\therefore \omega t=\left(\frac{\pi}{6}\right) \Rightarrow t=\frac{\pi}{6 \omega}$
The desired time will be $2 t$
or $\frac{\pi}{3 \omega}=\frac{\pi}{3(2 \pi / T)}=\frac{T}{6}=\frac{12}{6}=2 s$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A cube of metal is subjected to a hydrostatic pressure of $4\;GPa.$ The percentage change in the length of the side of the cube is close to.......$\%$
(Given bulk modulus of metal, $B =8 \times 10^{10}\, Pa$ )
→(Given bulk modulus of metal, $B =8 \times 10^{10}\, Pa$ )
A body starts falling freely from height $\mathrm{H}$ hits an inclined plane in its path at height $\mathrm{h}$. As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of $\frac{\mathrm{H}}{\mathrm{h}}$ for which the body will take the maximum time to reach the ground is______.
→Select the false statement
If two liquids of same masses but densities ${\rho _1}$ and ${\rho _2}$ respectively are mixed, then density of mixture is given by
→A ball is projected from a point $O$ as shown in figure. It will strike the ground after ........ $s$ $\left(g=10 \,m / s ^2\right)$
→When a conservative force does positive work on a body
When the pressure on $1200\, ml$ of a gas in increased from $70\, cm $ to $120\, cm$ of mercury at constant temperature, the new volume of the gas will be ........ $ml$
→A constant current of 2.8A exists in a resistor. The rms current is:
An object is moving on a circular track of radius $450\, m$. At some instant, the object is moving at $30\, m/s$ and gaining speed at a uniform rate of $2 m/s^2$. Its acceleration at this instant is nearly .......... $m/s^2$
→A gas can be taken from $A$ to $B$ via two different processes $ACB$ and $ADB$. When path $ACB$ is used $60\, J$ of heat flows into the system and $30\, J$ of work is done by the system. If path $ADB$ is used work down by the system is $10\, J$. the heat flow into the system in path $ADB$ is ..... $J$
→