MCQ
A spring of force constant $10 \mathrm{~N} / \mathrm{m}$ has an initial stretch $0.20 \mathrm{~m}$. In changing the stretch to $0.25 \mathrm{~m}$, the increase in potential energy is about
- ✓0.1 joule
- B0.2 joule
- C0.3 joule
- D0.5 joule
✓
Answer
Correct option: A.
0.1 joule
(a)$\Delta \text { P.E. }=\frac{1}{2} k\left(x_2^2-x_1^2\right)$
$=\frac{1}{2} \times 10\left[(0.25)^2-(0.20)^2\right] $
$=5 \times0.45\times0.05=0.1\mathrm{~J}$
$=\frac{1}{2} \times 10\left[(0.25)^2-(0.20)^2\right] $
$=5 \times0.45\times0.05=0.1\mathrm{~J}$
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 person is suffering from myopic defect. He is able to see clear objects placed at $15 \mathrm{~cm}$. What type and of what focal length of lens he should use to see clearly the object placed $60 \mathrm{~cm}$ away
→For an isothermal expansion of a perfect gas, the value of $\frac{\Delta P}{P}$ is equal
→A photon of energy $8 \mathrm{eV}$ is incident on a metal surface of threshold frequency $1.6 \times 10^{15} \mathrm{~Hz}$, then the maximum kinetic energy of photoelectrons emitted is $\left(h=6.6 \times 10^{-34} \mathrm{Js}\right)$
→Select the correct statement
If a lighter body $($mass $M_1$ and velocity $V_1 )$ and a heavier body $($mass $M_2$ and velocity $V_2 )$ have the same kinetic energy, then
→A source voltage of $8 V$ drives the diode in fig. through a currentlimiting resistor of $100 ohm$. Then the magnitude of the slope load line on the $V-I$ characteristics of the diode is
→A source of sound of frequency 90 vibrations/ sec is approaching a stationary observer with a speed equal to $1 / 10$ the speed of sound. What will be the frequency heard by the observer
→The dimensions of "time constant" $\frac{L}{R}$ during growth and decay of current in all inductive circuit is same as that of
→A source of sound of frequency $500 \mathrm{~Hz}$ is moving towards an observer with velocity $30 \mathrm{~m} / \mathrm{s}$. The speed of sound is $330 \mathrm{~m} / \mathrm{s}$. the frequency heard by the observer will be
→A bucket full of water is revolved in vertical circle of radius $2 m$. What should be the maximum time-period of revolution so that the water doesn't fall off the bucket
→