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LuckyWell [14K]
3 years ago
8

Which has a larger resistance, a 60 W lightbulb or a 100 W lightbulb? Which has a larger resistance, a 60 W lightbulb or a 100 W

lightbulb? There's not enough information to tell. The 100 W bulb. The 60 W bulb. Their resistances are the same.
Physics
1 answer:
Luba_88 [7]3 years ago
5 0

You really can't tell.

Power = I^2 × R = V^2 / R ( unit in Watt)

For P = I^2 × R

Where we have P directly proportional to R, increase in Power leads to increase in R

So if we have 100 will have higher resistance

For P = V^2/R

Power is inversely proportional to resistance.

So increase in Power leads to decrease in resistance.

60 watt will have a higher resistance.

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Answer:

i. The radius 'r' of the electron's path is 4.23 × 10^{-5} m.

ii. The frequency 'f' of the motion is 455.44 KHz.

Explanation:

The radius 'r' of the electron's path is called a gyroradius. Gyroradius is the radius of the circular motion of a charged particle in the presence of a uniform magnetic field.

                 r = \frac{mv}{qB}

Where: B is the strength magnetic field, q is the charge, v is its velocity and m is the mass of the particle.

From the question, B = 1.63 × 10^{-5}T, v = 121 m/s, Θ = 90^{0} (since it enters perpendicularly to the field), q = e  = 1.6 × 10^{-19}C and m = 9.11 × 10^{-31}Kg.

Thus,

         r = \frac{mv}{qB} ÷ sinΘ

But,  sinΘ =  sin 90^{0} = 1.

So that;

          r = \frac{mv}{qB}

            = (9.11 × 10^{-31} × 121) ÷ (1.6 × 10^{-19}  × 1.63 × 10^{-5})

            = 1.10231 × 10^{-28}   ÷ 2.608 × 10^{-24}

            = 4.2266 × 10^{-5}

            = 4.23 × 10^{-5} m

The radius 'r' of the electron's path is 4.23 × 10^{-5} m.

B. The frequency 'f' of the motion is called cyclotron frequency;

           f = \frac{qB}{2\pi m}

             =  (1.6 × 10^{-19}  × 1.63 × 10^{-5}) ÷ (2 ×\frac{22}{7} × 9.11 × 10^{-31})

             =  2.608 × 10^{-24} ÷  5.7263 × 10^{-30}

             = 455442.4323

          f  = 455.44 KHz

The frequency 'f' of the motion is 455.44 KHz.

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