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Saturday, 31 October

JEE Main 2021 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 17 March 2021, Shift 2, Physics Q20

Question 20 of 90 in this shift, Physics question 20 of 30, Section A.

An object is located at 2 km beneath the surface of the water. If the fractional compression ΔVV\frac{\Delta V}{V} is 1.36%, the ratio of hydraulic stress to the corresponding hydraulic strain will be ____________. [ Given : density of water is 1000 kgm−3\mathrm{kgm^{-3}} and g=9.8 ms−2\mathrm{g=9.8\ ms^{-2}}.]
  1. (1)1.96×107 Nm−21.96\times10^{7}\ \mathrm{Nm^{-2}}
  2. (2)1.44×107 Nm−21.44\times10^{7}\ \mathrm{Nm^{-2}}
  3. (3)2.26×109 Nm−22.26\times10^{9}\ \mathrm{Nm^{-2}}
  4. (4)1.44×109 Nm−21.44\times10^{9}\ \mathrm{Nm^{-2}}Official answer

Official answer

Option 4

NTA final key.

Idea tested
Elastic Moduli

Same idea in other shifts

Asked 18× in all
  1. 4 Apr 2026, Shift 1 · Q27The increase in the pressure required to decrease the volume (ΔV\Delta V) of water is 6.3×107 N/m26.3\times10^{7}\ \mathrm{N/m^2}. The percentage…EasySingle correct
  2. 5 Apr 2026, Shift 1 · Q31The Young's modulus of steel wire of radius rr and length LL is YY. If the radius rr and length LL of the wire are doubled then the…EasySingle correct
  3. 5 Apr 2026, Shift 1 · Q46A cube has side length 5 cm and modulus of rigidity 105 N/m210^5\ \mathrm{N/m^2}. The displacement produced by a force of 10 N in the upper face…EasyNumerical value
  4. 6 Apr 2026, Shift 2 · Q33Figure represents the extension (Δl\Delta l) of a wire of length 1 meter, suspended from the ceiling of the room at one end with a load…EasySingle correctHas a figure
  5. 4 Apr 2025, Shift 2 · Q32A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of 10510^5 N at the top.…MediumSingle correct
  6. 7 Apr 2025, Shift 1 · Q32Two wires A and B are made of same material having ratio of lengths LALB=13\frac{L_A}{L_B} = \frac{1}{3} and their diameters ratio…EasySingle correct
  7. 8 Apr 2025, Shift 2 · Q48A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to change of volume of 0.8 cm3^3. If the bulk modulus of the…EasyNumerical value
  8. 9 Apr 2024, Shift 1 · Q53Two persons pull a wire towards themselves. Each person exerts a force of 200200 N on the wire. Young's modulus of the material of wire is…EasyNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.