An ac circuit contains a resistance of $1 \mathrm{k} \Omega$, a capacitor of $0.1 \mu \mathrm{~F}$ and an inductor of 1 mH connected in series. The resonance frequency of the circuit is approximately:
13.5 kHz
10.1 kHz
20.7 kHz
15.9 kHz
In interference and diffraction, the light energy is redistributed. If it reduces in one region, producing a dark fringe, it increases in another region, producing a bright fringe.
A. As there is no gain or loss of energy, these phenomena are consistent with the principle of conservation of energy.
B. Diffraction and interference are characteristics exhibited only by light waves.
Choose the correct answer from the options given below:
$A$ is true and $B$ is also true
$A$ is false, but $B$ is true
$A$ is true, but $B$ is false
Both A and B are false
For a travelling harmonic wave
$y(x, t)=2.0 \cos 2 \pi(10 t-0.0080 x+0.35)$, where $x$ and $y$ are in cm and $t$ in $s$. The phase difference between oscillatory motion of two points separated by a distance of 0.5 m is:
$0.08 \pi \mathrm{rad}$
$\quad 0.8 \pi \mathrm{rad}$
$8 \pi \mathrm{rad}$
$0.008 \pi \mathrm{rad}$
The magnitude and direction of the acceleration produced in a body of mass 5 kg when two mutually perpendicular forces 8 N and 6 N act on it, are respectively:
$20 \mathrm{~m} \mathrm{~s}^{-2} ; \tan ^{-1}(4 / 3)$ with 8 N force
$2 \mathrm{~m} \mathrm{~s}^{-2} ; \tan ^{-1}(3 / 4)$ with 6 N force
$2 \mathrm{~m} \mathrm{~s}^{-2} ; \tan ^{-1}(4 / 3)$ with 8 N force
$2 \mathrm{~m} \mathrm{~s}^{-2} ; \tan ^{-1}(3 / 4)$ with 8 N force
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