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. June 2018

Magnetism

(On request- Harsh)

An equilateral triangle of side a has a current I in anti-clockwise direction. Find the strength of magnetic field and its direction at one of its vertex. 

Solution:

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Ray Optics

Q- An object is 14.4 cm in front of a converging lens that has a focal length equal to 14.3 cm. A diverging lens that has a focal length whose magnitude is equal to 1.2 cm is located 20.0 cm in back of the first.

(a) Find the location of the final image and describe its properties.

(b) Draw a ray …

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Transverse Waves

Q- One of the 63.5 cm long guitar wire is tuned  to produce note B (245 Hz) when vibrating in its fundamental mode.

(a) Find the speed of the transverse wave on the string.

(b) If the tension in the string is doubled, what will be the new fundamental frequency?

Solution:

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Magnetism: Parallel Wires

Q- Two infinite wires run parallel to the z-axis, which points out of the page. One wire carries a current I1= 2 A and intersects the x-axis at x = a = 3 cm. The second wire carries current I2= 5 A and intersects the x-axis at x = -a. Both currents flow in the +z direction. 

(a) Calculate the net …

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Center of Mass

Q- A closed railroad car of length L and mass M on a friction-less track contains a cannon firing cannonballs of total mass m from one end to the other. Assume that all the cannonballs each move a total distance L. Find a formula for the resulting displacement d of the railroad car. Does your formul…

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Simple Harmonic Motion

Q- A particle executes linear harmonic motion about the point x = 0. At t = 0, it has a displacement x = 0.37 cm and zero velocity. The frequency of oscillation is 0.25 Hz. Determine

(a) The period (b) the angular frequency (c) the amplitude (d) the displacement at time t (e) the velocity at time t…

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