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A big dumb-bell is prepared by using a uniform rod of mass 60 g and length 20 cm. Two identical solid thermocol spheres of mass 25 g and radius 10 cm each are at the two ends of the rod. Calculate moment of inertia of the dumb bell when rotated about an axis passing through its centre and perpendicular to the length.
As per the given condition we can list out the data as mass of rod = M= 60g length of…
With what terminal velocity will an air bubble 0.4 mm in diameter rise in a liquid of viscosity 0.1 Ns/m² and specific gravity 0.9? Density of air is 1.29 kg/m³ .
As per the question we can put some of the given data as, diameter D= 0.4mm radius r =…
A horizontal force of 1 N is required to move a metal plate of area 10^-2 m² with a velocity of 2 × 10^-2 m/s, when it rests on a layer of oil 1.5 × 10^-3 m thick. Find the coefficient of viscosity of oil.
The data that can be listed from the question is as follows, Force F = 1N To find, co…
Calculate the viscous force acting on a rain drop of diameter 1 mm, falling with a uniform velocity 2 m/s through air. The coefficient of viscosity of air is 1.8 × 10^-5 Ns/m².
As per the question we can list some data as, diameter d = 1mm velocity v= 2m/s To fi…
In a hydraulic lift, the input piston had surface area 30 cm² and the output piston has surface area of 1500 cm² . If a force of 25 N is applied to the input piston, calculate weight on output piston.
As per the given question we can list some given data as Input force F₁ = 25N To find…
Find the pressure 200 m below the surface of the ocean if pressure on the free surface of liquid is one atmosphere. (Density of sea water = 1060 kg/m³ )
As per the given question we can list some data as height h=200m density ρ = 1060 kg/…
A gas contained in a cylinder fitted with a frictionless piston expands against a constant external pressure of 1 atm from a volume of 5 litres to a volume of 10 litres. In doing so it absorbs 400 J of thermal energy from its surroundings. Determine the change in internal energy of system.
As per the given question the given data can be listed as, Pressure P = 1 atm = 1.013 …
An ideal gas is taken through an isothermal process. If it does 2000 J of work on its environment, how much heat is added to it?
Given data from the question can be listed as dW = 2000J To find , Heat added dQ = ? …
A Carnot refrigerator operates between 250K and 300K. Calculate its coefficient of performance.
The given data that we can list here are, Hot reservoir temperature T₁ = 300K Co…
Efficiency of a Carnot cycle is 75%. If temperature of the hot reservoir is 727ºC, calculate the temperature of the cold reservoir.
The given data in this question is, Efficiency η = 75% = 0.75 Hot reservoir T₁ = 727º…
A system releases 130 kJ of heat while 109 kJ of work is done on the system. Calculate the change in internal energy
Before we write the given data let us first mention some sign convention that we use w…
Potential energy of a particle performing linear S.H.M is 0.1 π² x² joule. If mass of the particle is 20 g, find the frequency of S.H.M.
The data available in the sums is, Joule mass m = 20g = 0.020kg To find , Frequency …
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A simple pendulum of length 100 cm performs S.H.M. Find the restoring force acting on its bob of mass 50 g when the displacement from the mean position is 3 cm.
The data that we can put forward from this question is , Length L= 100cm …