60
Minutes
30
Questions
4 / -1
Marking Scheme
Q1. In a book, the answer for a particular question is expressed as here represents mass, represents acceleration, represents length. The unit of should be
Q2. A simple pendulum is being used to determine the value of gravitational acceleration at a certain place. The length of the pendulum is 25.0 cm and a stop watch of 1s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in is:
Q3. In a simple pendulum experiment for determination of acceleration due to gravity (), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30 s. The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained 55.0 cm. The percentage error in the determination of is close to
Q4. The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5 μm diameter of a wire is
Q5. The pitch and the number of divisions, on the circular scale for a given screw gauge are 0.5 mm and 100, respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies 3 divisions below the mean line. The readings of the main scale and the circular scale for a thin sheet are 5.5 mm and 48 respectively, the thickness of this sheet is
Q6. A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet, if the main scale reading is 0.5 mm and the 25th division coincides with the main scale line?
Q7. There are two vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale. The vernier scale of one of the calipers () has 10 equal divisions that correspond to 9 main scale divisions. The vernier scale of the other caliper () has 10 equal divisions that correspond to 11 main scale divisions. The readings of the two calipers are shown in the figure. The measured values (in cm) by calipers and respectively, are
Q8. A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?
Q9. The diameter of a cylinder is measured using a vernier calipers with no zero error. It is found that the zero of the vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The vernier scale has 50 division equivalent to 2.45 cm. The 24th division of the vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is
Q10. In the determination of Young's modulus by using Searle's method, a wire of length m and diameter mm is used. For a load kg, an extension mm in the length of the wire is observed. Quantities and are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5 mm. The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement is
...and 20 more questions.