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JEE Main Unit 2A: Newton's Laws and Translational Equilibrium — practice questions — page 3

Explore 92 free Unit 2A: Newton's Laws and Translational Equilibrium questions in JEE Main Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 2A: Newton's Laws and Translational Equilibrium questions and exercises with answers

Showing questions 61–90 of 92.

Mean of measurements: x̄. Standard error of mean for n trials:Read the answer and worked solution →Power consumed P = V²/R. If V measured to 2% and R to 1%, find error in P:Read the answer and worked solution →Significant figures in measurement 30.50:Read the answer and worked solution →In Young's modulus determination: Y = (FL)/(A ΔL). Maximum percentage error if F (force) 1%, L (length) 2%, A 3%, ΔL 4%:Read the answer and worked solution →Unit of viscosity in SI:Read the answer and worked solution →Conversion: 1 joule = ___ erg:Read the answer and worked solution →For Q = A + B with absolute errors a and b: error in Q:Read the answer and worked solution →Number of significant figures in 1.20 × 10⁻³ kg:Read the answer and worked solution →Dimensions of strain:Read the answer and worked solution →In SI, prefix 'tera' represents:Read the answer and worked solution →For relation v = u + at, dimensional consistency requires:Read the answer and worked solution →Dimensional formula of Stefan-Boltzmann constant σ (P = σAT⁴):Read the answer and worked solution →For the formula λ = h/p (de Broglie), dimensional consistency:Read the answer and worked solution →A particle moves in a straight line with velocity v = 4t - t² m/s. The displacement of the particle in the time interval from t = 0 to when v becomes zero again is:Read the answer and worked solution →A block of mass 2 kg slides down a rough incline of 30°. Coefficient of kinetic friction is 0.2. Acceleration of block (g = 10):Read the answer and worked solution →Two particles of mass m and 4m have same kinetic energy. Ratio of their de Broglie wavelengths:Read the answer and worked solution →In Young's double slit experiment, if slit separation is halved and wavelength doubled, fringe width becomes:Read the answer and worked solution →Charge Q is placed at center of a cube. Electric flux through one face:Read the answer and worked solution →In LCR series circuit, at resonance, impedance equals:Read the answer and worked solution →A capacitor of capacitance C is charged to voltage V then connected through a resistor R to an uncharged capacitor of same C. Final voltage across each:Read the answer and worked solution →A wire of resistance R is bent into a circle. Resistance between two diametrically opposite points:Read the answer and worked solution →A particle of mass m moves in circle of radius r with constant speed v. Magnitude of momentum change in half revolution:Read the answer and worked solution →Two satellites of same mass orbit Earth at radii r and 2r. Ratio of their kinetic energies:Read the answer and worked solution →Heat capacity of a body is 200 J/K. Heat required to raise its temperature from 20°C to 50°C:Read the answer and worked solution →For a body in SHM with amplitude A, at displacement x, ratio of KE to total energy:Read the answer and worked solution →Two coherent sources of intensity I and 4I interfere. Maximum intensity in resulting pattern:Read the answer and worked solution →Bohr radius for hydrogen is 0.53 Å. Radius of 3rd orbit:Read the answer and worked solution →Magnetic flux through a coil changes from 5 mWb to 1 mWb in 0.1 s. Induced EMF:Read the answer and worked solution →Work done in stretching wire by 1 mm is W. Work to stretch it by 2 mm (same wire, within elastic limit):Read the answer and worked solution →Photon of wavelength 200 nm strikes metal with work function 2 eV. KE of fastest photoelectron (hc = 1240 eV nm):Read the answer and worked solution →

Worked practice questions

Mean of measurements: x̄. Standard error of mean for n trials:

  1. σ²
  2. σ × n
  3. σ
  4. σ/sqrt(n) (standard error)
Show answer and solution

Correct answer: D. σ/sqrt(n) (standard error)

σ_mean = σ/sqrt(n). Standard error decreases as 1/sqrt(n) with more trials. Hence averaging helps reduce random noise. To improve precision 10×, need 100× more measurements.

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Power consumed P = V²/R. If V measured to 2% and R to 1%, find error in P:

  1. 2%
  2. 5% (= 2 × 2% + 1%)
  3. 3%
  4. 1%
Show answer and solution

Correct answer: B. 5% (= 2 × 2% + 1%)

We have ΔP/P = 2(ΔV/V) + (ΔR/R). That is ΔP/P = 2 × 2% + 1%. So ΔP/P = 5%.

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Significant figures in measurement 30.50:

  1. 5
  2. 3
  3. 4 (trailing zero after decimal IS significant)
  4. 2
Show answer and solution

Correct answer: C. 4 (trailing zero after decimal IS significant)

30.50: all 4 digits significant. Trailing zero after decimal point shows precision. **So 30.50 means ±0.005 (i.e., between 30.495 and 30.505).**

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