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 Derive expression for dipolar polarizability and discuss its variation with 

temperature. 


A standing man is watching an oncoming firetruck that emits a 900-Hz sound from its siren. If its velocity is 30.5 m/s, and the speed of sound is 345 m/s on this day,

(a) What frequency does the person receive?

(b) What frequency does she receive after the firetruck passed?


An ambulance blows its 160-Hz horn while traveling at 40.0 m/s in still air on a day when the speed of sound is 340 m/s. What frequency is observed by the train’s driver on the train?


If a torque of 55.0 N-m is required to turn a bolt and the largest force you can exert is 135 N, how long a lever arm must you use to turn the bolt?


A wire in the y−z

y−z plane with a 90


900-angle bend carries a current of I=2.7A

I=2.7A. It goes through a box with a uniform magnetic field B=3.5T

B=3.5T directed perpendicular to the  y−z

y−z plane (see figure above). The lengths of the segments exposed to the magnetic field are L=26.1cm

L=26.1cm and W=23.4cm

  • W=23.4cm. Find the magnitude of the total magnetic force in the wire (in Newtons).

A point charge q=5nC

q=5nC is moving in the x-y plane with velocity v

⃗ 

=(1.1×10

8

m/s)i

^

+(1.2×10

8

m/s)j

^

v→=(1.1×108m/s)i^+(1.2×108m/s)j^ through a magnetic field B

⃗ 

=(1.2T)i

^

+(2.7T)k

^

B→=(1.2T)i^+(2.7T)k^. What is the magnitude of the magnetic force on q

q (in Newtons)? Only give the numerical value.


The resultant of two forces is 50N. if the forces are perpendicular to each other and one of them makes an angle of 30° with the resultant, find the magnitude

A circuit consists of two resistors with resistances R, = 6.0O 2 and R, = 1.5 2., a variable resistor, the resistance R of which can be adjusted, a resistor of unknown value R. and 9.0 volt battery connected as shown in the figure. When R is adjusted to current through the ammeter. What is the unknown resistance


If system X and system Y have the same axis of rotation, and if system X releases a torque on system Y, what will happen to system Y?


A 0.05kg ball rotates in a circle of a raduis 0.5 meters.if the ball is travelling at a constant speed of 6.28m/s, find the tention force at the top and bottom of the circle draw a digram for both situations 


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