Q5.A man can swim with a speed of 4.0 km/h in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily at 3.0 km/h and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank?
Answer : Option AExplaination / Solution:
Speed of the man, vm = 4 km/h Width of the river = 1 km Time taken to cross the river = WidthoftheriverSpeedoftheman
=14h=1×604=15min
Speed of the river, vr = 3 km/h Distance covered with flow of the river = vr × t =3×14=34km=3×10004 = 750 m
Q7.A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?
Q8.A constant force acting on a body of mass 3.0 kg changes its speed from 2.0 m s−1 to 3.5 m s−1 in 25 s. The direction of the motion of the body remains unchanged. What is the magnitude and direction of the force?
Q9.Balram exerts a steady force of magnitude F = 200i^+ 2.0j^ on the stalled car as shown in the figure above, he pushes it a distance s = 10i^+ 10j^ m. How much work does he do?
Answer : Option AExplaination / Solution:
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Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1
Mark for Wrong Answer : -0.5
Mark for Left Answer : 0