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Physics: Post your doubts here!

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Umm..I dont find any.I think its okay.U tel.?
Umm umm I cant make out! it must be correct :)
Just 3 golden minutes PLEASE ! xD
The time period of the stationary wave is 20ms. After 5 ms, it would be a straight horizontal line, drawn on the dotted line. Take a look at this animation and you will understand the logic

Standing_wave_2.gif


usama321 :D
 
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Umm umm I cant make out! it must be correct :)

The time period of the stationary wave is 20ms. After 5 ms, it would be a straight horizontal line, drawn on the dotted line. Take a look at this animation and you will understand the logic

Standing_wave_2.gif


usama321 :D
okay and now from where and how you got 20ms and what is meant by 5ms is 1/4 of the cycle I didn't get it HOW !
 
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the question says that the radius of the second raindrop is less than the first.
and F=6pi*D*R*v
if the radius for the second is less the frictional force acting on it is also less.
and Density=m/v
both the rain drops have the same density but the mass if the second is approx one-cube of that of the first bcoz the radius is less.

the difference in mass is much greater than the difference in frictional force. so, when if the equation
mg-f=ma
the acceleration of the second will be less than the first. so the slope of the second graph will be below that of the first. and as the mass of the second drop is less the weight (downward force) will b less and it will reach terminal velocity earlier than the first. so the graph will reach a lower constant value earlier.
 
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Supposing we have two numbers defined as

a = 5.0 ± 0.2

b = 3.0 ± 0.6

and we have to multiply them together, thus giving us a result of

a * b = (5.0 ± 0.2)(3.0 ± 0.6)

In this case, we convert their absolute uncertainties into percentage uncertainties before multiplying, and this gives us

a * b = (5.0 ± 4.0%)(3.0 ± 20%)

and so we write our answer as 15.0 ± 24%, because whenever we multiply two numbers, we add their percentage uncertainties together and write that percentage uncertainty for the final product.

If we now extend this to the case where we square a particular number, say we square a, then we get

a^2 = a * a = (5.0 ± 0.2)(5.0 ± 0.2)
= (5.0 ± 4.0%)(5.0 ± 4.0%)
= (25 ± 8.0%)

This 8.0% value we have obtained by adding up the percentage uncertainties in the products, and writing that value as the percentage uncertainty for the final product. Note, however, we could have obtained the same value by multiplying the percentage uncertainty in a by the power we were raising a to, i.e. 2.

Suppose we cube a, we get a similar argument:

a^3 = a * a * a= (5.0 ± 0.2)(5.0 ± 0.2)(5.0 ± 0.2)
= (5.0 ± 4.0%)(5.0 ± 4.0%)(5.0 ± 4.0%)
= (125 ± 12%)

Again, we could have gotten this percentage uncertainty by multiplying the percentage uncertainty in a (=4.0%) by the power we were raising a to (=3), which for accuracy's sake we can see is 12%, the same as above.

Suppose we raise a to a power of 0.5, i.e. we take the square-root of a. The same principle applies here:

a^0.5 = (5.0 ± 0.2)^0.5
= (5.0 ± 4.0%)^0.5
= (2.23 ± 2.o%)
Where 2.23 is the square root of 5 to 3 significant figures, and the percentage uncertainty has been obtained by multiplying the percentage uncertainty in a (=4.0%) by the power we were raising a to (=0.5) to give us 4.0% * 0.5 = 2.0%.

In the question, you are given the diameter and asked to calculate the area. The formula for doing so is given by

Area = π(d^2)/4

where d is the diameter. In this case, there is no uncertainty in π and no uncertainty in 4, so the uncertainty in the Area is equal to the uncertainty caused by squaring the value of d. So, according to what we've seen above, the % uncertainty in the final value is equal to the %uncertainty in d * the power it has been raised to. So, since it is squared in the formula, we get

% uncertainty in Area = 2 * percentage uncertainty in d.

Hope this helped!

Good Luck for all your exams!
 
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hmmm okay I got the idea now ! .. so in the question it is asking for , draw the stationary wave at time (t + 5.0 ms) so it means we have to add 1/4 to the 1 cycle right ??.. then why did we draw the straight line it isn't 2/4 or 4/4 it is 5/4 !!
it was 5 ms which is =1/4T
it was initially at the 1/4th from my diagram so add 1/4 we get 2/4th stage. :)
 
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K
Supposing we have two numbers defined as

a = 5.0 ± 0.2

b = 3.0 ± 0.6

and we have to multiply them together, thus giving us a result of

a * b = (5.0 ± 0.2)(3.0 ± 0.6)

In this case, we convert their absolute uncertainties into percentage uncertainties before multiplying, and this gives us

a * b = (5.0 ± 4.0%)(3.0 ± 20%)

and so we write our answer as 15.0 ± 24%, because whenever we multiply two numbers, we add their percentage uncertainties together and write that percentage uncertainty for the final product.

If we now extend this to the case where we square a particular number, say we square a, then we get

a^2 = a * a = (5.0 ± 0.2)(5.0 ± 0.2)
= (5.0 ± 4.0%)(5.0 ± 4.0%)
= (25 ± 8.0%)

This 8.0% value we have obtained by adding up the percentage uncertainties in the products, and writing that value as the percentage uncertainty for the final product. Note, however, we could have obtained the same value by multiplying the percentage uncertainty in a by the power we were raising a to, i.e. 2.

Suppose we cube a, we get a similar argument:

a^3 = a * a * a= (5.0 ± 0.2)(5.0 ± 0.2)(5.0 ± 0.2)
= (5.0 ± 4.0%)(5.0 ± 4.0%)(5.0 ± 4.0%)
= (125 ± 12%)

Again, we could have gotten this percentage uncertainty by multiplying the percentage uncertainty in a (=4.0%) by the power we were raising a to (=3), which for accuracy's sake we can see is 12%, the same as above.

Suppose we raise a to a power of 0.5, i.e. we take the square-root of a. The same principle applies here:

a^0.5 = (5.0 ± 0.2)^0.5
= (5.0 ± 4.0%)^0.5
= (2.23 ± 2.o%)
Where 2.23 is the square root of 5 to 3 significant figures, and the percentage uncertainty has been obtained by multiplying the percentage uncertainty in a (=4.0%) by the power we were raising a to (=0.5) to give us 4.0% * 0.5 = 2.0%.

In the question, you are given the diameter and asked to calculate the area. The formula for doing so is given by

Area = π(d^2)/4

where d is the diameter. In this case, there is no uncertainty in π and no uncertainty in 4, so the uncertainty in the Area is equal to the uncertainty caused by squaring the value of d. So, according to what we've seen above, the % uncertainty in the final value is equal to the %uncertainty in d * the power it has been raised to. So, since it is squared in the formula, we get

% uncertainty in Area = 2 * percentage uncertainty in d.

Hope this helped!

Good Luck for all your exams!

Thabkyou for the fantastic reply :eek: <3
 
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