Density is a physical property which plays a very important role in our daily life. It is very widely used in all field of engineering. Density is widely used for choosing the suitability of a material for a specific purpose.

a) Discuss how density is finding its application in Marine engineering field in not more than 100 to   150 words.
       b) Describe the way in which you can determine the density of given substances. Also explain the tools which are used for finding the density. Explain in detail.
       c)   You are given a cylindrical shaped silver having diameter X cm and height Y cm.
              [ You can take X – the first two digits of your student ID and Y – the last two digits of your student ID. For e.g., If the student’s ID is 1875-18, The X = 18 and Y = 75]. The density of silver is 10.5 g/cm3. Calculate the mass of the silver shape given to you in kg/m3.
              [ for conversion you can use - 1 m = 100 cm and 1 kg = 1000 g]

The two wires carry currents of I = 5.24 A in opposite directions and are separated by a distance of d₀ = 8.93 cm. Calculate the net magnetic field at a point midway between the wires. Use the direction out of the page as the positive direction and into the page as the negative direction in your answer.

Calculate the net magnetic field at point P₁ - that is 8.62 cm to the right of the wire on the right.

Calculate the net magnetic field at point P₂ - that is 21.6 cm to the left of the wire on the left.

Density is a physical property which plays a very important role in our daily life. It is very widely used in all field of engineering. Density is widely used for choosing the suitability of a material for a specific purpose.

a) Discuss how density is finding its application in Marine engineering field in not more than 100 to 150 words.
b) Describe the way in which you can determine the density of given substances. Also explain the tools which are used for finding the density. Explain in detail.
c) You are given a cylindrical shaped silver having diameter X cm and height Y cm.
[ You can take X – the first two digits of your student ID and Y – the last two digits of your student ID. For e.g., If the student’s ID is 1875-18, The X = 18 and Y = 75]. The density of silver is 10.5 g/cm3. Calculate the mass of the silver shape given to you in kg/m3.
[ for conversion you can use - 1 m = 100 cm and 1 kg = 1000 g]

This all information

A wave of water behaves like a plane wave with a frequency of 12 Hz breaks as it passes a sharp barrier between deep and shallow water. The velocity of the wave's propagation in the deep water is 24 cm/s, the angle of the wave reaching the barrier is 60^o and the breaking wave angle at the barrier is 40^o.

a. What is the velocity of propagation of the wave in shallow water?

b. What is the wavelength in the shallow water and what is the wavelength in the deep water?

3.12. A rectangular coil of wire is suspended in a uniform radial magnetic field of induction 0.05 T, the field lines being horizontal. The coil consists of 400 turns of wire each of height 2 cm and width 1 cm. If a current of 1 mA is passed through the coil, calculate:-

(a) the force acting on unit length of the wire in one of the vertical sides of the coil;

(b) the total force on one vertical side of the coil;

(c) the total force on one horizontal side of the coil,

(d) the torque experienced by the coil.

If the suspension is elastic and a torque of 10-5 Nm is required to produce an angular displacement of one radian, find the angular displacement of the coil due to a current of 1 mA. Draw neat diagrams in order to clarify the results obtained in the above parts.

A space station in the shape of a uniform disk (mass 8.44x105 kg, radius 687 m) rotates with period 86.3 seconds. There are also 781 astronauts (whom you can treat as point particles) working inside the space station, each of mass 188 kg, and all standing on the outside rim and rotating with the station. Now, all the astronauts move to a conference room at the very center of the space station. Find the new period of the rotation of the space station.

Why does a baseball catcher's mitt have more padding than a conventional glove?

During a Tatooine speeder race, Dannik Jerriko starts from rest and accelerates constantly for a time T, reaching a speed of 50 m/s. He then gives his engine to Garindan to use in his speeder, which (including the engine) is twice the mass of Dannik’s speeder. If Garindan also starts from rest and accelerates constantly, how fast will he be going after the same amount of time T?

a car starts from rest and accelerates at 3m/s² until it hits 30m/s and then coasts at this constant velocity. How much time does it take to complete a 450m trip?

Accelerated electron beams are often used to study features of atoms on the surfaces of materials. If you wanted to alter the design of an electron accelerator to produce an electron beam appropriate for the studying the nuclei of atoms instead, what would be the appropriate alteration?

A charge of 7.00 μC is placed at each corner of an equilateral triangle 0.090 m on each side. Determine the magnitude and direction of the net force on one of the charges due to the other two.

1. A particle undergoing circular motion in the xy-plane stops on the negative x-axis. Which of
the following does not describe the angular position?
a) 4π radians
b) π radians
c) 5π radians
d) 3π radians
2. Two balls collide. The first ball (mass 3 kg) reaches a speed of 40 m/s before the collision.
After the collision, the first ball has stopped and the second ball (mass 3 kg) travels at 40 m/s.
What was the initial velocity of the second ball?
a) -13.33 m/s
b) 40 m/s
c) 13.33 m/s
d) 0 m/s
3. Which of the following is not conserved in a collision where two cars bounce off each other
and move at different velocities?
a) momentum
b) energy
c) impulse
d) none of the above
e) all of the above
4. What type of collision is two billiard balls colliding, where they bounce off each other and
move at equal and opposite velocities?
a) Elastic
b) Inelastic
c) Perfectly inelastic
d) Perfectly elastic

A 10-cm-long thin glass rod uniformly charged to 10.0 nC and a 10-cm-long thin plastic rod uniformly charged to - 10.0 nC are placed side by side, 3.90 cm apart. What are the electric field strengths E1to E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm from the glass rod along the line connecting the midpoints of the two rods?