The conclusion that is best supported by the data is;
D) A1 and B1 are like poles, but there is not enough information to tell whether they are north poles or south poles.
Answer:
The wavelength of this wave is 1.01 meters.
Explanation:
The variation in the pressure of helium gas, measured from its equilibrium value, is given by :
..............(1)
The general equation is given by :
...........(2)
On comparing equation (1) and (2) :
![k=6.2](https://tex.z-dn.net/?f=k%3D6.2)
Since, ![k=\dfrac{2\pi}{\lambda}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B2%5Cpi%7D%7B%5Clambda%7D)
![\dfrac{2\pi}{\lambda}=6.2](https://tex.z-dn.net/?f=%5Cdfrac%7B2%5Cpi%7D%7B%5Clambda%7D%3D6.2)
![\lambda=1.01\ m](https://tex.z-dn.net/?f=%5Clambda%3D1.01%5C%20m)
So, the wavelength of this wave is 1.01 meters. Hence, this is the required solution.
Answer:
120 m
Explanation:
Given:
wavelength 'λ' = 2.4m
pulse width 'τ'= 100T ('T' is the time of one oscillation)
The below inequality express the range of distances to an object that radar can detect
τc/2 < x < Tc/2 ---->eq(1)
Where, τc/2 is the shortest distance
First we'll calculate Frequency 'f' in order to determine time of one oscillation 'T'
f = c/λ (c= speed of light i.e 3 x
m/s)
f= 3 x
/ 2.4
f=1.25 x
hz.
As, T= 1/f
time of one oscillation T= 1/1.25 x
T= 8 x
s
It was given that pulse width 'τ'= 100T
τ= 100 x 8 x
=> 800 x
s
From eq(1), we can conclude that the shortest distance to an object that this radar can detect:
= τc/2 => (800 x
x 3 x
)/2
=120m
Answer:
0.050 m
Explanation:
The strength of the magnetic field produced by a current-carrying wire is given by
![B=\frac{\mu_0 I}{2\pi r}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B%5Cmu_0%20I%7D%7B2%5Cpi%20r%7D)
where
is the vacuum permeability
I is the current in the wire
r is the distance from the wire
And the magnetic field around the wire forms concentric circles, and it is tangential to the circles.
In this problem, we have:
(current in the wire)
(strength of magnetic field)
Solving for r, we find the distance from the wire:
![r=\frac{\mu_0 I}{2\pi B}=\frac{(4\pi \cdot 10^{-7})(1.41)}{2\pi (5.61\cdot 10^{-6})}=0.050 m](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5Cmu_0%20I%7D%7B2%5Cpi%20B%7D%3D%5Cfrac%7B%284%5Cpi%20%5Ccdot%2010%5E%7B-7%7D%29%281.41%29%7D%7B2%5Cpi%20%285.61%5Ccdot%2010%5E%7B-6%7D%29%7D%3D0.050%20m)
Answer:
"Magnitude of a vector can be zero only if all components of a vector are zero."
Explanation:
"The magnitude of a vector can be smaller than length of one of its components."
Wrong, the magnitude of a vector is at least equal to the length of a component. This is because of the Pythagoras theorem. It can never be smaller.
"Magnitude of a vector is positive if it is directed in +x and negative if is is directed in -X direction."
False. Magnitude of a vector is always positive.
"Magnitude of a vector can be zero if only one of components is zero."
Wrong. For the magnitude of a vector to be zero, all components must be zero.
"If vector A has bigger component along x direction than vector B, it immediately means, the vector A has bigger magnitude than vector B."
Wrong. The magnitude of a vector depends on all components, not only the X component.
"Magnitude of a vector can be zero only if all components of a vector are zero."
True.