Conservation of Mechanical Energy NEET Questions

Conservation of Mechanical Energy MCQ Questions

13.
A pendulum of length L is released from horizontal position. Speed at the lowest point (ignoring air resistance) is:
A.
√(gL)
B.
√(2gL)
C.
√(gL/2)
D.
2√(gL)
ANSWER :
B. √(2gL)
14.
For a freely falling body of mass m dropped from height H, the kinetic energy at height h above ground is:
A.
mg(H+h)
B.
mg(H−h)
C.
mgH
D.
mgh
ANSWER :
B. mg(H−h)
15.
A conservative force F(x) and potential energy V(x) are related by:
A.
F(x) = dV/dx
B.
F(x) = −dV/dx
C.
F(x) = V(x)/x
D.
F(x) = −V(x)
ANSWER :
B. F(x) = −dV/dx
16.
A bob of mass m is suspended by a string of length L and given a horizontal velocity vâ‚€ at the lowest point. The minimum vâ‚€ required to complete a vertical circle is:
A.
√(gL)
B.
√(2gL)
C.
√(5gL)
D.
√(3gL)
ANSWER :
C. √(5gL)
17.
At the topmost point C of a vertical circular loop (bob completing full circle), what is the speed of the bob (string length L, minimum launch speed at bottom)?
A.
√(5gL)
B.
√(3gL)
C.
√(gL)
D.
√(2gL)
ANSWER :
C. √(gL)
18.
The ratio of kinetic energies KB/KC at points B (midpoint, at height L) and C (top, at height 2L) of a vertical circular loop (length L, minimum launch) is:
A.
1:3
B.
3:1
C.
2:1
D.
5:1
ANSWER :
B. 3:1