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.
✓
Answer
Given :
50 × vernier scale division (vsd) = 49 × main scale division (msd)
∴ 1 vsd = $\frac{49}{50}$msd = 0.98 msd
∴ least count = 1msd - 1 vsd
∴ least count = 1 msd - 0.98 msd = 0.02 msd....(1)
∴ 1 msd = $\frac{1}{20}$ 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.
50 × vernier scale division (vsd) = 49 × main scale division (msd)
∴ 1 vsd = $\frac{49}{50}$msd = 0.98 msd
∴ least count = 1msd - 1 vsd
∴ least count = 1 msd - 0.98 msd = 0.02 msd....(1)
∴ 1 msd = $\frac{1}{20}$ 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.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A stone is dropped freely from the top of a tower and it reaches the ground in $4$ s. Taking $g = 10m s^{-2},$ calculate the height of the tower.
A solid of density $5000 kg m^{-3}$ weighs $0.5$ kgf in air. It is completely immersed in water of density $1000 kg m^{-3}.$ Calculate the apparent weight of the solid in water.
→What force is applied on a piston of area of cross section $2 cm^2$ to obtain a force 150 N on the piston of area of cross section 12 $cm ^2$ in a hydraulic machine?
→Consider the following case where the zero of vernier scale and the zero of the main scale are clearly seen. If L.C. of the vernier calipers is $0.01 \ cm$, write the zero error and zero correction of the following.
→The size of bacteria is $2 \mu ..$ Find the number of bacteria in $3 m$ length.
→Draw a graph to show the variation in density of water with temperature in the range from 0°Cto 10°C.
State the laws of liquid pressure.
What do you understand by the following terms?
1. electric circuit
2. closed electric circuit
3. open electric circuit.
1. electric circuit
2. closed electric circuit
3. open electric circuit.
State Newton's third law of motion. Explain, the motion of a rocket with the help of Newton's third law of motion.
What are wavelength, frequency, time period and amplitude of a sound wave?