. Consider a vernier caliper. Least count of main scale is 1mm. There are 20 equispaced marks on vernier
scale. When nothing is put between the jaws. Zero of main scale lies between zero and first division of
vernier scale and 15th division of vernier exactly coincide with one of the main scale division. When zero of
vernier is matched with zero of main scale, 20th division of vernier exactly coincides with 25th division of
main scale. To measure the side of a cuboid, it is kept between the jaws of vernier caliper, it is now observed
that 18th division of vernier exactly coincides with 32th division of main scale. Choose the correct option(s).
A) Least count of vernier scale is 0.25mm
B) Zero error is -0.25 mm
C) Side of cuboid is 10.25 mm
D) Side of cuboid is 9.25mm
Answers
Chemical weathering typically increases as temperatures rise and rain falls, which means rocks in hot and wet climates experience faster rates of chemical weathering than do rocks in cold, dry climates.
Physical weathering occurs more often in cold climates, because the different minerals within rocks expand and contract at different rates when they are heated and cooled. Repeated heating and cooling cycles eventually cause rocks to fracture. Desert and mountain climates experience a wide range of temperatures from low to high during a day and night, which accounts for the breakdown of rocks known as physical weathering.
Biological weathering occurs when living organisms break up rocks. Tree roots, for example, can fracture rocks in the same way they buckle pavement. Warm, humid climates are most favorable to life. Contrast the rich diversity of life in a rainforest, for example, with the scarcity of life in the dry Sahara or the frigid Antarctic. Consequently, rates of biological weathering are most rapid in warm humid climates like those in tropical regions.
Answer:
The correct answer is (A) and (C). The least count of the vernier scale is 0.25mm and the side of cuboid is 10.25mm.
Explanation:
1. When both scales' zero points line up, the vernier's 20th division and the main scale's 25th division exactly line up. Vernier scale division will therefore be provided by 25/20 × 1 = 1.25 mm
2. Since the retrograde verniers have a bigger vernier scale division, we must utilise the least count formula as follows:
L.C = V.S.D - M.S.D = 1.25 - 1 = 0.25mm
3. Since the main scale zero is between the vernier scale zero and one, zero error will be of a negative nature when the zeros of both scales do not coincide. Let the main scale's X division and the vernier scale's 15th division coincide. Since then, 15 VSD = 15 × 1.25 = 17.25mm
4. In addition, because main scale zero was in advance, the vernier scale's 15th division will fall on the 18th division of the main scale.
Therefore, 15 VSD - X MSD will result in zero error.
Zero errors = 17.25 - 18 = - 0.75mm
5. Since the 32nd division of the main scale and the 18th division of the vernier scale exactly line up when measuring a cuboid's side. therefore the distinction between reading = 32 - 18 × 1.25 = 9.5mm
6. This, when incorporating a zero error factor, will yield the true length of a cuboid's side. Consequently, the cuboid's actual side length equals the main scale reading with no error.
Therefore, the actual length of the side of the cuboid =Main scale reading-zero error
= 9.5 - (0.75)
= 10.25mm
Thus, The least count of the vernier scale is 0.25mm and the side of the cuboid is 10.25mm.
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