# Mechanical engineering Questions and solutions set - 13

Mechanical engineering Questions and solutions set - 13
Question:-
Option (A)

Option (B)

Option (C)

Option (D)

Correct Option:
C
Question Solution:

Vector are of parallelogram =

= (8 - 3)i - (-4 - 6)J + (1 + 4)K

= 5i + 10J + 5K

Area of parallelogram=

Question:-
Option (A)
x(t) = x0e-3t
Option (B)
x(t) = x0e-3
Option (C)
x(t) = x0e-1/3
Option (D)
x(t) = x0e-1
Correct Option:
A
Question Solution:

= -3x(t)

= -3x

= -3dt

=

ln x = -3t + C

x = e-3t + C = eC x e-3t

ec = C1

x = C1 x e-3t

Now putting initial condition x(0) = x0

x0 = C1e0 = C1

C1 = x0

Solution is

x = x0e-3t

i.e.x(t) = x0e-3t

Question:-
Option (A)
1 only
Option (B)
1 and 3
Option (C)
2 only
Option (D)
3 only
Correct Option:
B
Question Solution:

A real gas starts behaving as ideal gas at low pressure and high temperature.

Question:-
Option (A)
-30 and -5
Option (B)
-37 and -1
Option (C)
-7 and 5
Option (D)
17.5 and -2
Correct Option:
B
Question Solution: