MCQ
The differential equation of SHM for a seconds pendulum is
  • A
    $\frac{d^2 x}{d t^2}+ x =0$
  • B
    $\frac{d^2 x}{d t^2}+\pi x=0$
  • C
    $\frac{d^2 x}{d t^2}+4 \pi x=0$
  • $\frac{d^2 x}{d t^2}+\pi^2 x=0$.

Answer

Correct option: D.
$\frac{d^2 x}{d t^2}+\pi^2 x=0$.
$\frac{d^2 x}{d t^2}+\pi^2 x=0$.

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

Wire having tension $225 N$ produces six beats per second when it is tuned with a fork. When tension changes to $256 N$, it is tuned with the same fork, the number of beats remain unchanged. The frequency of the fork will be
The moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through one end is $I$. The same rod is bent into a ring and its moment of inertia about the diameter is $I_1$. The ratio $\frac{I}{I_1}$ is
The emissive power per wavelength interval $R_\lambda$ of a blackbody at an absolute temperature $T_1$ is maximum at $\lambda_1=1.1 \mu \mathrm{m}$. At an absolute temperature $T_2$, its $R_\lambda$ is maximum at $\lambda_2=0.55$ $\mu \mathrm{m}$. Then, $\frac{T_1}{T_2}$ is equal to
If two open organ pipes of length 50 cm and 51 cm sounded together produce 7 beats per second, the speed of sound is.
Acceleration of a particle executing S.H.M. at its mean position.
Same current is flowing in two a.c. circuits. First contains only inductance and second contains only capacitance. If frequency of a.c. is increased for both, the current will
A charged particle carrying charge $1 \mu C$ is moving with velocity $(2 \hat{i}+3 \hat{j}+4 \hat{k}) m s ^{-1}$. If an external magnetic field of $(5 \hat{i}+3 \hat{j}-6 \hat{k}) \times 10^{-3} T$ exists in the region where the particle is moving, then the force on the particle is $\vec{F} \times 10^{-9} N$. The vector $\vec{F}$ is
At constant temperature, increasing the pressure of a gas by $5 \%$ its volume will decrease by
A straight wire along the $y$-axis carries a current of $4 A$. The wire is placed in a uniform magnetic field $(0.02 T)(\hat{i}+\hat{j})$. If the current in the wire is directed towards the negative $y$ axis, the force per unit length on the wire is
The adiabatic constant $\gamma$ for argan is