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
Consider two uncharged capacitors of equal capacitance 200 pF . One of them is charged by a 100 V supply and disconnected. Now this capacitor is connected to the uncharged capacitor. The amount of electrostatic energy lost in the process is:
$0.5 \times 10^{-6} \mathrm{~J}$
1.0 J
$1.0 \times 10^{-6} \mathrm{~J}$
0.5 J
The power of a crane, which lifts a mass of 1000 kg to a height of 20 m in 10 s is: $\left(g=9.8 \mathrm{~m} / \mathrm{s}^2\right)$
19.6 W
39.2 W
19.6 kW
39.2 kW
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