A particle of mass 10 g lies in a potential field v - 50 x-2 - 100- The value of frequency of oscillations in Hz is-5 Hz50- pi Hz10pi-3 Hznone of these-

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Toppr Admin · Accepted Answer

V-50x2-100F-x2212-dvdxF-x2212-100xa-x2212-100x10-xD7-1000a-x2212-104xComparing with a-x3C9-2x-x3C9-x221A-104-102T-2-x3C0-x3C9-T-x3C0-50v-1T-50-x3C0-Hz

A particle of mass $10 g$ lies in a potential field $v = 50 x^{2} + 100$ . The value of frequency of oscillations in Hz is:
$5 H z$
$50 / π H z$
$10 π / 3 H z$
none of these.

$v = 50 x^{2} + 100 F = - \frac{d v}{d x} F = - 100 x a = - \frac{100 x}{10} \times 1000 a = - 10^{4} x$
Comparing with $a = ω^{2} x$
$ω = \sqrt{10^{4}} = 10^{2} T = \frac{2 π}{ω} T = \frac{π}{50} v = \frac{1}{T} = \frac{50}{π} H z$

A particle of mass 10g lies in a potential field v=50x2+100. The value of frequency of oscillations in Hz is:5Hz50/πHz10π/3Hznone of these.

v=50x2+100F=−dvdxF=−100xa=−100x10×1000a=−104xComparing with a=ω2xω=√104=102T=2πωT=π50v=1T=50πHz

A particle of mass $10 g$ lies in a potential field $v = 50 x^{2} + 100$ . The value of frequency of oscillations in Hz is:
$5 H z$
$50 / π H z$
$10 π / 3 H z$
none of these.

$v = 50 x^{2} + 100 F = - \frac{d v}{d x} F = - 100 x a = - \frac{100 x}{10} \times 1000 a = - 10^{4} x$
Comparing with $a = ω^{2} x$
$ω = \sqrt{10^{4}} = 10^{2} T = \frac{2 π}{ω} T = \frac{π}{50} v = \frac{1}{T} = \frac{50}{π} H z$