Physics Padhai

Examples for Practice

Topic : Scalar and Vector

Example for practice

1. Two vectors P and Q have magnitudes 3 units and 4 units respectively. R is the resultant of P and Q. Find the magnitude and direction of R when the angle ɵ  between P and Q  is 30°.
2.  What vector should be added to (2 -2  +  ) and (2 – ̂) will give a unit vector  along negative y-axis?
3. Find ‘a’ if A = 3 - 2+ 4 and B = a+ 2 - are perpendicular to each others.
4. Two Force F1 and F2 of 5 N each inclined to each other at 60º,act on a body. Find the resultant force acting on the body
5. If A = to (2 + 7 + 3 ) and (3 + 2  + 5 ̂) , find the component of A and B.

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Units and Measurements

Example for practice

1. Derive the formula for kinetic energy of a particle having mass m and velocity v using dimensional analysis .
2. In Ohm's experiments , the values of the unknown resistances were found to be 6.12 Ω , 6.09 Ω, 6.22 Ω, 6.15 Ω. Calculate the mean absolute error, relative error and percentage error in these measurements.
3. In a workshop a worker measures the length of a steel plate with a Vernier callipers having a least count 0.01 cm. Four such measurements of the length yielded the following values: 3.11 cm, 3.13 cm, 3.14 cm, 3.14 cm. Find the mean length, the mean absolute error and the percentage error in the measured value of the length. 
4. Give Dimension for the following

           a) Force

           b) Density

           c) Volume

           d) Temperature