## Physics (312) Tutor Marked Assignment 2019-2020 Solved Assignment of nios

Two vectors are given by A 3 i 4 j
  
  and
B 2 i 5 j
  
  Calculate their dot and cross products.

The velocity – time graphs of two particles moving in a
straight line are shown in the adjoining figure.
(i) Which of the two particles has greater acceleration
and how much?
(ii) Calculate the difference between the distances travelled
by the particles in 10 seconds

A remote sensing satellite is moving around the earth in an orbit whose altitude from the surface
of earth is 800 Km. Calculate (i) orbital velocity and (ii) orbital period of the satellite.

From how much height should we let the ball shown in figure roll-down the incline on the left hand
side, so that it looks the loop and rolls-up the incline on the the other side.

Calculate the energy of 1 mole of nitrogen gas at 27oc. Compare the energy of 1 mole of
hydrogen gas at this temperature with the corresponding value of nitrogen gas (Given : Boltzmann
Constant (k=1.38 x 10-23 jk-1)

What do you understand by ‘radius of gyration’? Calculate the radius of gyration of a hoop of
radius 5.00 cm rotating about an axis passing through its centre and normal to its plane.

A biconvex lens made of glass of refractive index 1.5 has radius of currature of both of its
surfaces as 40cm. Calculate the (i) power and (ii) focal length of the lens. Also find out the change
in the focal length of the lens when it is submerged in water. (The refractive index of water with
respect to air, 1.33 wa
n  )

Derive expression for the instantaneous kinetic energy, potential energy and the total energy of a
simple harmonic oscillator. Show graphically how the potential energy U, kinetic energy K and
the total energy E of a simple harmonic oscillator vary with displacement from equilibrium position.

A copper rod of length 50cm and diameter 4.0cm is given. If the thermal conductivity of copper
is 4.2 x 102 wm-1 k-1, calculate its thermal resistivity. If the temperature difference between the
ends of the rod be 50oc, find out the rate of flow of heat through it.

Space communication involves sending sighal emitted from the antenna of the transmitter to the
antenna of the receiver. Describe in brief, mentioning frequency range of operation, four different
ways by which space communication becomes possible.

Take 5 double convex lenses of different thicknesses. Hold a metre scale perpendicular to a wall
and in contact with it. Hold a lens vertically on the scale and moving it away from the wall form a clear, bright image of a distant object on the wall. Measure the distance between the lens and the
wall. This is called the approximate focal length of the lens. Similarly find the approximate focal
length of all the five lenses. What relation do you find between the thickness of the lens and its
focal length?
Lay down the scale on the table. At one end of the scale fix the lens of maximum focal length with
the help of plasticine. Now holding a lens (out of the remaining four lenses) vertically on the scale
move it away from the first lens and observe a distant object through this pair of lens. Stop
moving the second lens at a position where biggest image in seen. Fix this lens at this position with
the help of plasticin. Measure the distance between the two lenses. Is this distance approximately
equaly to the sum of the focal lengths of two lenses? Repeat the experiment with the remaining
three lenses. In which lens-pair arrangement do you see the biggest image? Is the seperation
between two lenses minimum in this arrangement?

Interchanging the positions of the two lens observe the distant object again. Does its image still
appear bigger? Near the scale end lens place a small object and observe it through the pair of
lenses. Does it appear bigger? List all your conclusions derived in this project.

Take four springs, two of the same length and the remaining two of the same and radius. Make
arangements for measurement, a laboratory stand with clamp, a hanger, a metre scale and a
weight box with a set of varying weights.
Support the spring, one at a time vertically from the laboratory same. Add a musle weight at the
bottom of the honger. Measure the extent on the metre scale attached to the spring. Take 6-7
In each spring, draw a graph between the load suspended from the hanger at the exterior of the
spring. Write your results in the form of a table and properly interpret them. This project has
application in spring balance.