In a hydraulic press , the narrower limb has an area of cross - section `0.25 m^(2)` while that on the liquid in the narrower limb to a lift a vehicle of vehicle of 1000 kg kept on top of the fluid in the larger limb of cross section '1 m^2' ?
Text Solution
AI Generated Solution
To solve the problem, we will apply Pascal's law, which states that pressure applied to a confined fluid is transmitted undiminished in all directions throughout the fluid.
### Step-by-step Solution:
1. **Identify Given Data:**
- Area of the narrower limb, \( A_1 = 0.25 \, m^2 \)
- Area of the larger limb, \( A_2 = 1 \, m^2 \)
- Mass of the vehicle, \( m = 1000 \, kg \)
...
A nichrome wire of length 100 cm and area of cross-section 0.5 m m^(2) has a resistance of 2.2 Omega . The resistivity of nichrome is
A 20kg load is suspended by a wire of cross section 0.4mm^(2) . The stress produced in N//m^(2) is
A 20kg" load is suspended by a wire of cross section 0.4mm^(2).The stress produced in N/m ' is
A wire 3m long and having cross - sectional area of 0.42m^(2) is found to stretched by 0.2 m under a tension of 1000 N. The value of young's modulus for the material of the wire is
The inductance of a solenoid 0.5m long of cross-sectional area 20cm^(2) and with 500 turns is
The cross-section of a canal is in the form of a trapezium.If the top of the canal is 15 m wide, the bottom is 8m and the area of cross-section is 138m^(2) ,find its depth.
A wire of area of cross-section 10^(-6) m^(2) is increased in length by 0.1 %. The tension produced is 1000 N. The Young's modulus of wire is
A long cylindrical tank of cross-sectional area 0.5m^(2) is filled with water. It has a small hole at a height 50cm from the bottom. A movable piston of cross-sectional area almost equal to 0.5m^(2) is fitted on the top of the tank such that it can slide in the tank freely. A load of 20 kg is applied on the top of the water by piston, as shown in the figure. Calculate the speed of the water jet with which it hits the surface when piston is 1m above the bottom. (Ignore the mass of the piston)
If cross- sectional area of limb I is A_(1) and that of limb II is A_(2) then velocity of the liquid in the tube will be, (cross- sectional area of tube is very small)
FIITJEE-FLUID MECHANICS -ASSIGHNMENT COMPREHENSION NUMERICAL BASED QUESTIONS