2015QUALIFYING EXAMINATION FOR APPLICANTS FOR JAPANESEGOVERNMENT (MONBUKAGAKUSHO) SCHOLARSHIPS 2015

EXAMINATION QUESTIONSCOLLEGE OF TECHNOLOGY STUDENTS

PHYSICS60

PLEASE NOTE: THE TEST PERIOD IS 60 MINUTES.

(2015)Nationality

No.
(Please print full name, underlining

PHYSICS

family name.)MarksName

1. From the top of the building high enough from the ground, aB2

small body B1 is dropped from rest at time = 0 s. Another body B2is thrown downward at a speed of 19.6 m/s at time = 1.0 s from thesame point. Let the gravitational acceleration be 9.8 m/s2. The air isconsidered frictionless. Round off your answers to two significant
figures.

B1(1) What is the speed of body B1 at time = 1.0 s ?
(1)

m/s

(2) What is the vertical distance from the top of the building to the body B1 at time =1.0 s ?
(2)m(3) When do the two bodies collide on the vertical line?

(3)s(4) What is the vertical distance from the top of the building to the two bodies when thecollision occurs?

(4)m

2. A particle of mass[kg] with velocity [m/s] and another particle of mass [kg]with velocity [m/s] are about to collide on a frictionless straight line. The arrows show
the positive direction. After the perfect elastic collision with coefficient of restitution of
1.0, a particle of mass [kg] moves with velocity 1 [m/s] and that of mass [kg]moves with velocity 2 [m/s].

(1) Expressin terms of

1 and2.

(1)(2) Find 1 and 2 if = 6.0 kg, = 4.0 kg,
your answers to two significant figures.

(2)

1== 7.5 m/s andm/s ,2== 2.5 m/s. Round offm/s

3. There are a tuning fork F1 of frequency 660 Hz and a tuning fork F2 of frequency
654 Hz.
(1) What is the beat frequency made out of two sounds emitted from tuning forks F1 andF2 ?

(1)

Hz

(2) What is the frequency of the sound heard by a fixed observer when a tuning fork F1is moving at a speed of 10 m/s with emitting the sound toward the observer? Let thespeed of sound in windless air be 340 m/s.

(2)

Hz

4. Consider an electrical circuit shown in the figure. Voltages of batteries E1 and E2 are
18V and 12V, respectively. Internal resistances of these batteries can be disregarded.
Resistances of R1 and R2 are 12 and 4.0 , respectively. R is a variable resistor.
Initially, a switch S is open as shown in the figure.
R

E1

S

R1

E2I
R2

(1) Calculate the resistance of R if the value of the current I in the figure is 0.50 A.

(1)(2) Calculate the resistance of R if the switch S is closed and the value of the current inthe resistor R2 is 0.0 A.

(2)(3) Calculate the value of the current in the resistor R1 if the switch S is closed and theresistance of R is 2.0 .

(3)Ay5. A point charge of= +4.0 10 8 C is placed
at x = 0.30 m on the x-axis, and a point charge of= 2.0 10 8 C is placed at y = 0.60 m on they-axis on the x-y plane as shown in the figure. Let
the proportionality constant of Coulomb s law be 9.0
109 N m2/C2. You can use 2 =1.41, 3 =1.73
and 5 =2.24 if you need. Round off your answers
to two significant figures.

0.60AO0.30x(1) Find the magnitude of the electric field at thepoint A (0.30, 0.60) .

(1)

N/C

(2) Find the electric potential at the point A. Let the electric potential at infinity be zero.

(2)V(3) Find the electric potential at the origin O. Let the electric potential at infinity bezero.

(3)V6. Consider a system of monoatomic
ideal gas. The ideal gas is carriedalong the path A B C A shownin the PV diagram.
Assume that the path A B is an
isochoric (constant volume) process
and the path C A is an isobaric(constant pressure) process. Pressureand volume of the ideal gas in an
initial state are p0 = 1.0 105 Pa andV0 = 2.0 10 3 m3. Let the gas
constant be 8.3 J/(mol K). Round off
your answers to two significantfigures.

p (pressure)
4p0p0(1) Temperature of the gas in the state A is 3.0state B.

BCAV0

4V 0V (volume)

102 K. Calculate the temperature in the(1)(2) How much heat is added to the gas in the process from A to B?

(2)J(3) How much work is done by the gas in the process from B to C?

(3)J(4) How much heat is released to the outside in the process from C to A?

(4)

J