MCQ
Two springs $A$ and $B$ having spring constant $K_{A}$ and $K_{B}\left(K_{A}=2 K_{B}\right)$ are stretched by applying force of equal magnitude. If energy stored in spring $A$ is $E_{A}$ then energy stored in $B$ will be
  • $2 E_{A}$
  • B
    $E_{A}/4$
  • C
    $E_{A}/2$
  • D
    $4 E_{A}$

Answer

Correct option: A.
$2 E_{A}$
a
Energy $=\frac{1}{2} K x^{2}=\frac{1}{2} \frac{F^{2}}{K}$.

$\frac{K_{A}}{K_{B}}=2$

$\frac{E_{A}}{E_{B}}=\frac{1}{2}$

$E_{B}=2 E_{A}$

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

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.

Assertion $A$ : Body $'P'$ having mass $M$ moving with speed $'u'$ has head-on collision elastically with another body $'Q'$ having mass $'m'$ initially at rest. If $m< < M,$ body $'Q'$ will have a maximum speed equal to $'2u'$ after collision.

Reason $R$ : During elastic collision, the momentum and kinetic energy are both conserved.

In the light of the above statements, choose the most appropriate answer from the options given below:

An angular impulse of $20 \,Nms$ is applied to a hollow cylinder of mass $2 \,kg$ and radius $20 \,cm$. The change in its angular speed is ............. $rad / s$
The surface area of a solid cylinder of radius 2.0cm and height A cm is equal to 1.5 × 104(mm)2. Here, A refers to:
A $12 \,m$ long vibrating string has the speed of wave $48 \,m / s$. To what frequency it will resonate ........... $cps$
The velocity-time diagram of a harmonic oscillator is shown in the adjoining figure. The frequency of oscillation is ..... $Hz$
A circular disc is to be made by using iron and aluminium, so that it acquires maximum moment of inertia about its geometrical axis.  It is possible with
A body is pulled along a rough horizontal surface with a velocity $6\,m/s$. If the body comes to rest after travelling $9\,m$ , then coefficient of sliding friction, is- (Take $g = 10\,m/s^2$ )
When a hot liquid is mixed with a cold liquid, the temperature of the mixture:
  1. First decreases then becomes constant.
  2. First increases then becomes constant.
  3. Continuously increases.
  4. Is undefined for some time and then becomes nearly constant.
A particle of mass $m$ projected with a velocity ' $u$ ' making an angle of $30^{\circ}$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height $\mathrm{h}$ is :
Oxygen is $16$ times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is