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Units and Measurements question

2021 · 1 Sep · Shift 2 · Q54
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  5. /2021 · 1 Sep · Shift 2 · Q54

Units and Measurements question

2021 · 1 Sep · Shift 2 · Q54

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
A student determined Young's Modulus of elasticity using the formula Y=MgL34bd3δY = {{Mg{L^3}} \over {4b{d^3}\delta }}Y=4bd3δMgL3​. The value of g is taken to be 9.8 m/s2, without any significant error, his observation are as following.

Physical
Quantity		 Least count of the
Equipment used
for measurement
Observed value
Mass (M) 1 g 2 kg
Length of bar (L) 1 mm 1 m
Breadth of bar (b) 0.1 mm 4 cm
Thickness of bar (d) 0.01 mm 0.4 cm
Depression (δ\deltaδ) 0.01 mm 5 mm

Then the fractional error in the measurement of Y is :
  1. A
    0.0083
  2. B
    0.0155
  3. C
    0.155
  4. D
    0.083
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