1
WB JEE 2023
+1
-0.25

A uniform rope of length 4 m and mass 0.4 kg is held on a frictionless table in such a way that 0.6 m of the rope is hanging over the edge. The work done to pull the hanging part of the rope on to the table is, (Assume g = 10 m/s$$^2$$)

A
0.36 J
B
0.24 J
C
0.12 J
D
0.18 J
2
WB JEE 2022
+1
-0.25

The kinetic energy (Ek) of a particle moving along X-axis varies with its position (X) as shown in the figure. The force acting on the particle at X = 10 m is

A
5$$\widehat i$$ N
B
0 N
C
97.5$$\widehat i$$ N
D
$$-$$5$$\widehat i$$ N
3
WB JEE 2021
+1
-0.25

A block of mass m slides with speed v on a frictionless table towards another stationary block of mass m. A massless spring with spring constant k is attached to the second block as shown in figure. The maximum distance, the spring gets compressed through is
A
$$\sqrt {{m \over k}} v$$
B
$$\sqrt {{m \over {2k}}} v$$
C
$$\sqrt {{k \over m}} v$$
D
$$\sqrt {{k \over {2m}}} v$$
4
WB JEE 2020
+2
-0.5
Consider an engine that absorbs 130 cal of heat from a hot reservoir and delivers 30 cal heat to a cold reservoir in each cycle. The engine also consumes 2 J energy in each cycle to overcome friction. If the engine works at 90 cycles per minute, what will be the maximum power delivered to the load? [Assume the thermal equivalent of heat is 4.2 J/cal]
A
816 W
B
819 W
C
627 W
D
630 W
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