A particle executing S.H.M. its potential energy V/S displacement… - Vidyadip

MCQ

A particle executing $S.H.M.$ its potential energy $V/S$ displacement graph is given by The value of restoring force constant is ..... $N/m$

✓
$12$
B
$24$
C
$6$
D
$48$

✓

Answer

Correct option: A.

$12$

a
Here $\frac{1}{2} \mathrm{KA}^{2}=24$

$A=2$

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

In an experiment to determine the acceleration due to gravity $g$, the formula used for the time period of a periodic motion is $T=2 \pi \sqrt{\frac{7(R-r)}{5 g}}$. The values of $R$ and $r$ are measured to be $(60 \pm 1) \mathrm{mm}$ and $(10 \pm 1) \mathrm{mm}$, respectively. In five successive measurements, the time period is found to be $0.52 \mathrm{~s}, 0.56 \mathrm{~s}, 0.57 \mathrm{~s}, 0.54 \mathrm{~s}$ and $0.59 \mathrm{~s}$. The least count of the watch used for the measurement of time period is $0.01 \mathrm{~s}$. Which of the following statement($s$) is(are) true?

($A$) The error in the measurement of $r$ is $10 \%$

($B$) The error in the measurement of $T$ is $3.57 \%$

($C$) The error in the measurement of $T$ is $2 \%$

($D$) The error in the determined value of $g$ is $11 \%$

Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, deuteron and alpha particle are respectively $r_p, r_d$ and $r_{\alpha}$ Which one of the following relation is correct?

A circular coil of radius $4\, cm$ and of $20$ $turns$ carries a current of $3$ amperes. It is placed in a magnetic field of intensity of $0.5$ $weber/{m^2}$. The magnetic dipole moment of the coil is.......$ampere - {m^2}$

The intensity of a light pulse travelling along a communication channel decreases exponentially with distance $x$ according to the relation $I = {I_0}{e^{ - \alpha x}}$ , where $I_0$ is the intensity at $x = 0$ and $\alpha $ is the attenuation constant. The attenuation in $dB/km$ for an optical fibre in which the intensity falls by $50$ percent over a distance of $50\ km$ is

A force of $- P \hat{k}$ acts on the origin of the coordinate system. The torque about the point $(2,-3)$ is $P(a \hat{i}+b \hat{j})$, the ratio of $\frac{a}{b}$ is $\frac{x}{2}$. The value of $x$ is

In a relation $F = a \,sin\, k_1x + b \,sin\, k_2t$ where $F , x$ and $T$ denote the force,distance and time respectively. Units of $k _{1}$ and $k _{2}$ are respectively

Assertion $(A):$ An astronaut in an orbiting space station above the earth experience weightlessness.
Reason $(R):$ An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.

A heavy box of mass 50 kg is moving on a horizontal surface. If co-efficient of kinetic friction between the box and horizontal surface is 0.3 then force of kinetic friction is :

In He-Ne laser, metastable state exists in

The direction of induced e.m.f. during electromagnetic induction is given by