Download App

PART - 1 CH - 5Work, Energy and Power — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsPART - 1 CH - 5Work, Energy and Power1 Mark
MCQ
The force constants of two springs are $k _1$ and $k _2$. The same strain $x$ is produced in them. If their elastic energies are $E_1$ and $E_2$. The ratio of $E_1$ and $E_2$ will be :
  • ✓
    $\frac{k_1}{k_2}$
  • B
    $\frac{k_2}{k_1}$
  • C
    $\sqrt{\frac{k_2}{k_1}}$
  • D
    None of these.
✓

Answer

Correct option: A.
$\frac{k_1}{k_2}$
A
$\frac{ E _1}{ E _2}=\frac{\frac{1}{2} k_1 x^2}{\frac{1}{2} k_2 x^2}=\frac{k_1}{k_2}$

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

Explore more

More "M.C.Q (1 Marks)" from PART - 1 CH - 5Work, Energy and Power→PART - 1 CH - 5Work, Energy and Power — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The principle of ‘parallax’  is used in the determination of distances of very distant stars. The baseline $AB$ is the line joining the Earth’s two locations six months apart in its orbit around the Sun. That is, the baseline is about the diameter of the Earth’s orbit $\approx 3 \times 10^{11}\;m$. However, even the nearest stars are so distant that with such a long baseline, they show parallax only of the order of $1”$ (second) of arc or so. A parsec is a convenient unit of length on the astronomical scale. It is the distance of an object that will show a parallax of $1”$ (second of arc) from opposite ends of a baseline equal to the distance from the Earth to the Sun. How much is a parsec in terms of metres ?
→
Two particles, of masses $M$ and $2M$, moving as shown, with speeds of $10\, m/s$ and $5\, m/s$, collide elastically at the origin. After the collision, they move along the indicated directions with speeds $v_1$ and $v_2$ respectively. The value of $v_1$ and $v_2$ are nearly
→
A simple pendulum hangs from the ceiling of a car. If the car accelerates with a uniform acceleration, the frequency of the simple pendulum will
→
Two projectiles $A$ and $B$ are thrown with the same speed such that $A$ makes angle $\theta$ with the horizontal and $B$ makes angle $\theta$ with the vertical, then
→
A system is provided with $200$ cal of heat and the work done by the system on the surroundings is $40J.$ Then, its internal energy:
→
Three rods of same material, same area of crosssection but different lengths $10 \,cm , 20 \,cm$ and $30 \,cm$ are connected at a point as shown. What is temperature of junction $O$ is ......... $^{\circ} C$
→
A slender homogeneous rod of length $2L$ floats partly immersed in water, being supported by a string fastened to one of its ends, as shown. The specific gravity of the rod is $0.75$. The length of rod that extends out of water is : 
→
One end of a metal rod of length $1.0 m$ and area of cross section $100c{m^2}$ is maintained at ${100^o}C.$If the other end of the rod is maintained at ${0^o}C$, the quantity of heat transmitted through the rod per minute is (Coefficient of thermal conductivity of material of rod =$100W/m-K$)
→
A body sends waves $100\, mm$ long through medium $A$ and $0.25\, m$ long in medium $B$. If the velocity of waves in medium $A$ is $80\, cms^{-1}$. The velocity fo waves in medium $B$ is .... $ms^{-1}$
→
A Car not engine whose low temperate reservoir is at $7\,^oC$ has an efficiency of $50\%$ . It is desired to increase the efficiency to $70\%$ . By how many degrees should the temperature of the high temperature reservoir be increased  .... $K$
→