Answer:
Explanation:
Magnetic field due to a long wire
= 10⁻⁷ x 2i / r where i is current in the wire and r is distance of the point from the wire
In the given case magnetic field
B = 10⁻⁷ x 2i / r
= 10⁻⁷ x 2x 1.3 / .8 x 10⁻²
= 3.25 x 10⁻⁵ T
= 32.5 x 10⁻⁶ T
It will create a deflecting torque on the compass needle
Let after turning by angle θ , equilibrium point is reached
at this point , deflecting torque = restoring torque by earth's magnetic field
MB cosθ = MHsinθ , M is magnetic moment of magnetic needle , H is horizontal component of earth's magnetic field.
Tanθ = B / H
= 32.5 / 29
=1.20
θ = 50 degree approx .
Answer:
a. 5.360m/s
b. -1.1m/s
c. 3.38m/s
Explanation:
V1 = 3.20j
V2 = 4.30i
Vp = 5.4(-i)
= -5.40i
a. Speed of boat 2 relative to shore
= v1 + v2
= 3.2j + 4.3i
Magnitude = √3 2²+4.3²
= √28.73
= 5.360m/s
b. Speed of passenger relative to boat 1
V(p,1) = vp + v2
= -5.40i + 4.3i
= -1.1m/s
c. Speed of passenger relative to share
V(p,s) = vp + v(2,s)
= -5.4i + 4.30i +3.2j
= -1.1i + 3.2j
Take magnitude
= √-1.1²+3.2²
= √ 1.21 +10.24
= √11.45
= 3.38m/s
Answer:
dude just use the calculator fr
Answer:
5.9 x 10⁻⁷m
Explanation:
Given parameters:
Frequency = 5.085 x 10¹⁴Hz
Speed of light = 3.0 x 10⁸m/s
Unknown:
Wavelength of the orange light = ?
Solution:
The wavelength can be derived using the expression below;
wavelength =
v is the speed of light
f is the frequency
wavelength =
= 5.9 x 10⁻⁷m
Answer:
The value of change in internal l energy of the gas = 1850 J
Explanation:
Work done on the gas (W) = - 1850 J
Negative sign is due to work done on the system.
From the first law we know that Q = Δ U + W ------------- (1)
Where Q = Heat transfer to the gas
Δ U = Change in internal energy of the gas
W = work done on the gas
Since it is adiabatic compression of the gas so heat transfer to the gas is zero.
⇒ Q = 0
So from equation (1)
⇒ Δ U = - W ----------------- (2)
⇒ W = - 1850 J (Given)
⇒ Δ U = - (- 1850)
⇒ Δ U = + 1850 J
This is the value of change in internal energy of the gas.