Units and Measurement questions
875 published questions with worked solutions.
- If X=A B and X and A, B are maximum absolute errors in X, A and B respectively, then the maximum relative error in X is given by
- A physical quantity is represented by X=M^aL^bT^ -c . If percentage errors in the measurements of M, L and T are %, % and %...
- A current of 2.34 A flows in a resistance of 11.11111 , . The potential difference across the given resistance with due regard...
- A public park, in the form of a square, has an area of (100 0.2) ,m^2. The side of the park is
- The measured mass and volume of a body are 23.42 ,g and 4.9 ,cm^3 respectively, with possible errors 0.01 ,g and 0.1 ,cm^3. The...
- The specific resistance of a circular wire of radius r. Resistance R and length l is given by = r^2R l . Given r=(0.24 0.02) ,cm,...
- The length of a cube is 2.1 10^ -2 ,m. The volume in significant figures will be
- The internal and external diameters of a hollow cylinder are measured with the help of a vernier callipers. Their values are 4.23...
- In an experiment, we measure quantities a, b and c. Then x is calculated from the formula x= ab^2 c^3 . The percentage errors in...
- The focal length of a mirror is given by 1f= 1u+ 1v, where u and v represent object and image distances respectively. The maximum...
- The length, breadth and thickness of a metal block are given by l=9.0 ,cm, b=8 ,cm, t=2.45 ,cm. The volume of the block is
- The time dependence of a physical quantity P is given by P=P_0e^ - t^2 , where is a constant and t is time. Then the constant is
- The least count of a stop watch is 0.2 ,s. The time of 20 oscillations of a pendulum is measured to be 25 ,s. The percentage...
- The sides of a rectangle are 6.01 ,m and 12 ,m. Taking the significant figures into account, the area of the rectangle is
- The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate by using...
- The length l, breadth b and thickness t of a block are measured with the help of a metre scale. Given l=15.12 0.01 ,cm, b=10.15...
- Length is measured in metre and time in second as usual. But a new unit of mass is so chosen that G=1. This new unit of mass is...
- Error in the measurement of radius of a sphere is 2%. The error in the measurement of volume is
- The density of the material of a cube is measured by measuring its mass and length of its side. If the maximum errors in the...
- If x=a-b, then the maximum percentage error in the measurement of x will be
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