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3 years ago

List and explain brietfly two bits of experimental evidence that support the special theory of relativity.

Physics

1 answer:

attashe74 [19]3 years ago

6 0

Answer:

Numerous experiments have been performed since the formulation of theory of relativity which establish the theory of special relativity, however we shall consider only 2 experiments mentioned below.

1) <u>Michelson Morley experiment:- </u> Since the basic premise of Newtonian mechanics is that motion of two bodies is always relative and there is no absolute speed of an object, the space was thought to be filled with a special material termed as ether that was supposedly present everywhere and since light was supposed to be as a wave, the speed of light was thought to be measured with respect to this imaginary substance that was thought to be invisible. By measuring the difference in the speeds of light when moving in the direction of ether and while moving against the direction of ether would establish the existence of this invisible substance that was thought to be absolute frame of reference of the universe. Michelson Morley used an instrument known as interferometer to measure this difference of speed of light when moving in 2 different directions by making interference patterns of the light when superimposed. The results of the experiment were shocking as no interference patterns were observed thus demolishing the existence of ether and establishing the fact that speed of light is same in all reference frames, a very basic postulate of special theory of relativity.

2) <u>Decay of muons: </u>A basic result that follows from special theory of relativity is that as a object moves faster the time it observes is slower a concept known as time dilatation. This was established by the presence of muons which are elementary particles which are unstable in the lower layer's of atmosphere. Classically the muons should not reach the lower layer's of atmosphere and should decay earlier but as they are observed in the lower layer's of atmosphere because they travel at speeds comparable to speed of light thus the time from a frame attached to muons runs at a slower rate thus giving them time to reach lower region's of atmosphere.

3) GPS systems have been designed taking into effect the calculations predicted by special; theory of relativity.

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At a meeting of physics teacher in Montana, the teachers were asked to calculate where a flour sack would land if dropped from a

Harlamova29_29 [7]

At a distance of 469.2 m from the original point below the airplane.

Explanation:

First of all, we have to calculate the time it takes for the sack to reach the ground.

To do so, we just analyze its vertical motion, which is a free-fall motion, so we can use the suvat equation:

$s=ut+\frac{1}{2}at^2$

where, taking downward as positive direction:

s = 300 m is the vertical displacement

u = 0 is the initial vertical velocity

t is the time

$a=g=9.8 m/s^2$ is the acceleration of gravity

Solving for t, we find the it takes for the sack to reach the ground:

$t=\sqrt{\frac{2s}{a}}=\sqrt{\frac{2(300)}{9.8}}=7.82 s$

Now we analyze the horizontal motion. The horizontal velocity of the pack is constant (since there are no forces along the horizontal direction) and equal to the initial speed of the airplane, so:

$v_x = 60 m/s$

We also know the total time of flight,

t = 7.82 s

Therefore, we can find the horizontal distance travelled by the sack:

$d=v_x t = (60)(7.82)=469.2 m$

So, the sack will land 469.2 m from the original point below the airplane.

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3 years ago

An object at 27°C has its temperature increased to 37°C.

Firlakuza [10]

Answer:

b. 14

Explanation:

$T_{i}$ = Initial temperature = 27 °C = 27 + 273 = 300 K

$T_{f}$ = Final temperature = 37 °C = 37 + 273 = 310 K

$P_{i}$ = Initial Power radiated by the object

$P_{f}$ = Final Power radiated by the object

We know that the power radiated is directly proportional to fourth power of the temperature. hence

$\frac{P_{f}}{P_{i}} = \frac{T_{f}^{4} }{T_{i}^{4} }\\\frac{P_{f}}{P_{i}} = \frac{(310)^{4} }{(300)^{4} }\\\frac{P_{f}}{P_{i}} = 1.14\\P_{f} = (1.14) P_{i}$