Advertisements
Advertisements
Question
A microscope is provided with a main scale graduated with 20 divisions in 1 cm and a vernier scale with 50 division on it of length same as of 49 divisions of main scale. Find the least count of the microscope.
Advertisements
Solution
Given :
50 × vernier scale division (vsd) = 49 × main scale division (msd)
∴ 1 vsd = `49/50` msd = 0.98 msd
∴ least count = 1msd - 1 vsd
∴ least count = 1 msd - 0.98 msd = 0.02 msd....(1)
∴ 1 msd = `1/20` cm = 0.05 cm
⇒ least count = 0.02 × 0.05 cm = 0.001 cm
Thus, the least count of the microscope is 0.001 cm.
APPEARS IN
RELATED QUESTIONS
A stopwatch has 10 divisions graduated between the 0 and 5 s marks. What is its least count?
The main scale of a vernier callipers is calibrated in mm and 19 divisions of main scale are equal in length to 20 divisions of the vernier scale. In measuring the diameter of a cylinder by this instrument, the main scale reads 35 divisions and 4th division of vernier scale coincides with a main scale division. Find
(i) Least count and (ii) Radius of a cylinder.
Two simple pendulums A and B have equal lengths, but their bobs weigh 50 gf and 100 gf, respectively. What would be the ratio of their time periods? Give reasons for your answer.
A seconds pendulum is taken to a place where acceleration due to the gravity falls to one-fourth. How is the time period of the pendulum affected, if at all? Give reasons. What will be its new time period?
Name the most convenient unit of mass you will use to measure:
The grain output of a state
Name the most convenient unit of mass you will use to measure:
The bag of sugar
Amongst the unit of volume which is most suitable for measuring:
Volume of an exercise book
Amongst the unit of volume which is most suitable for measuring:
Volume of air in the room
The size of bacteria is 2 μ.. Find the number of bacteria in 3 m length.
