1
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
$$\sqrt {{k \over {2m}}} v$$
2
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
3
WB JEE 2019
+1
-0.25
A body starts from rest, under the action of an engine working at a constant power and moves along a straight line. The displacement s is given as a function of time (t) as
A
s = at + bt2, a and b are constants
B
s = bt2, b is a constant
C
s = at3/2, a is a constant
D
s = at, a is a constant
4
WB JEE 2017
+2
-0.5
A bullet of mass 4.2 $$\times$$ 10$$-$$2 kg, moving at a speed of 300 ms$$-$$1, gets stuck into a block with a mass 9 times that of the bullet. If the block is free to move without any kind of friction, the heat generated in the process will be
A
45 cal
B
405 cal
C
450 cal
D
1701 cal
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