Question  No: 1

A solid cylinder of radius 4 cm and the length 8 cm is made of copper.  If the density of copper is 8.93 g/cm**3, the mass of the cylinder is:

A. 2.32 kg

B. 3.59 kg

C. 3.25 kg

D. 5.3 kg

E. 8.94 kg

Question  No: 2

The period of a simple pendulum is given by the equation T**m = K*L(g**n), where T is in seconds, K is a dimensionless constant , L is in meters, and g is the acceleration due to gravity.  If this equation is dimensionally correct, the values of m and n are:

A. m = 1, n = 1

B. m =1/2, n = -1/2

C. m = 2, n = - 1

D. m = 1, n = 2

E. m = 0, n = 3

Question  No: 3

Newton's law of universal gravitation is given by F= G Mm/ r**2.  Here F is the force of gravity, M and m are masses, and r is a length.  Force has the units of kg.m/s**2.  What are the SI units of the proportionality constant G.

A. m**3/(kg.s**2)

B. m**2.kg/s**2

C. m/kg**2.s**2

D. m**3.s**2/kg**2

E. dimensionless
Question  No: 4

A physical quantity called pressure, P, is defined to be the force per units area I.e. P=F/A. Find the dimension of P.

A. M.L/(T**2)

B. L/T**2

C. M.T/L**2

D. L.T**2/M

E. M/(L.T**2)

Question  No: 5

A. 30.2 m/s

B. 27.8 m/s

C. 55.1 m/s

D. 10.4 m/s

E. 60 m/s

Question  No: 6

Assume that the atoms of a solid are spheres of diameter 1.0 * 10**(-10) m. Find the number of atoms in 1.0 mm**3 volume of the solid. Assume that the atoms are tightly packed.

A.  6.0 * 10**23

B. 1.9 * 10**21

C.  3.0 * 10**23

D. 2.8 * 10**24

E.  5.6 * 10**24