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) = x_{0}e^{-3t}
Option (B)
x(t) = x_{0}e^{-3}
Option (C)
x(t) = x_{0}e^{-1/3}
Option (D)
x(t) = x_{0}e^{-1}
Correct Option:
A
Question Solution:
_{} = -3x(t)
_{} = -3x
_{} = -3dt
_{} = _{}
ln x = -3t + C
x = e^{-3t + C} = e^{C} x e^{-3t}
e^{c} = C_{1}
x = C_{1 }x e^{-3t}
Now putting initial condition x(0) = x_{0}
x_{0} = C_{1}e^{0} = C_{1}
C_{1} = x_{0}
Solution is
x = x_{0}e^{-3t}
^{i.e.}x(t) = x_{0}e^{-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: