Equation of Continuity
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At Deoprayag (Garhwal, UP) river Alaknanda mixes with the river Bhagirathi and becomes river Ganga. Suppose Alaknanda has a width of 12 m, Bhagirathi has a width of 8 m and Ganga has a width of 16 m. Assume that the depth of water is same in the three rivers. Let the average speed of water in Alaknanda be 20 km h-1 and in Bhagirathi be 16 km h-1. Find the average speed of water in the river Ganga.
23 m/s
23 km/hr
46 km/hr
46 m/s
Water flows through a horizontal tube of variable cross section. The area of cross section at A and B are 4 mm2 and 2 mm2 respectively. If 1 cc of water enters per second through A, find the speed of water at B?
25 cm/s
50 cm/s
25 mm/s
50 mm/s
Water enters through end A with a speed v1 and leaves through end B with a speed v2 of a cylindrical tube AB. The tube is always completely filled with water. In case I the tube is horizontal, in case II it is vertical with the end A upward and in case III it is vertical with the end B upward. We have v1 = v2 for
Case I
Case II
Case III
each case
Solids expand on heating because
Kinetic energy of the atoms increases
Potential energy of the atoms increases
Total energy of the atoms increases
The potential energy curve is asymmetric about the equilibrium distance between neighbouring atoms
The lengths of steel and copper rods are so that the length of the steel rod is 5 cm longer than that of the copper rod at all temperatures, then length of each rod, are (α for copper = 1.7 × 10−5/∘C and α for steel = 1.1 × 10−5/∘C) -
9.08 cm; 14.08 cm
9.50 cm; 14.50 cm
9.17 cm; 14.17 cm
9.02 cm; 14.20 cm
A cylindrical metal rod of length L0 is shaped into a ring with a small gap as shown. On heating the system -
x decreases, r and d increase
x and r increase, d decreases
x, r and d all increase
Data insufficient to arrive at a conclusion
Aluminium expands more on heating than brass
Aluminium expands lesser than brass on heating
Brass shrinks on heating
None of these
An iron rod and another of brass, both at 27∘C differ in length by 10−3m. The coefficient of linear expansion for iron is 1.1×10−5/∘C and for brass is 1.9×10−5/∘C. The temperature at which both these rods will have the same length is
0°C
152°C
175°C
Data is insufficient