Class 11 Physics | Units and Measurements | State Board | Mixed Level Practice Test (2026)

📘 Physics 🎓 Class 11 🏛️ State Board 📖 Units and Measurements ⚡ Mixed 📝 35 Questions

Practice Physics for Class 11 State Board. 35 questions from Units and Measurements. AI-generated test series on Gyanzo.

35
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State Board
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Mixed
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📋 Questions in This Test

Q1 MCQ

Which of the following is NOT a fundamental unit in the SI system?

A Kilogram
B Second
C Newton
D Kelvin
Q2 MCQ

The dimensions of kinetic energy are:

A $MLT^{-1}$
B $ML^2T^{-2}$
C $MLT^{-2}$
D $M^2LT^{-2}$
Q3 MCQ

If the percentage errors in the measurement of mass and velocity are 2% and 3% respectively, then the maximum percentage error in the estimation of kinetic energy is:

A 1%
B 5%
C 8%
D 11%
Q4 MCQ

Which of the following pairs of physical quantities have the same dimensions?

A Force and Power
B Momentum and Impulse
C Energy and Power
D Light year and Wavelength
Q5 MCQ

The number of significant figures in 0.002030 is:

A 7
B 4
C 2
D 3
Q6 MCQ

If the length and breadth of a rectangular plate are measured to be (15.3 ± 0.2) cm and (12.8 ± 0.1) cm, respectively, then the area of the plate with error limits is:

A (195.8 ± 3.8) $cm^2$
B (195.8 ± 3.7) $cm^2$
C (195.8 ± 4.0) $cm^2$
D (195.8 ± 0.3) $cm^2$
Q7 MCQ

The angle subtended by the diameter of the moon at a point on Earth is approximately 0.5°. If the distance of the moon from the Earth is 3.84 x $10^8$ m, then the diameter of the moon is approximately:

A 3.35 x $10^6$ m
B 3.35 x $10^5$ m
C 3.35 x $10^7$ m
D 3.35 x $10^4$ m
Q8 MCQ

What is the physical quantity whose dimension is $M^1L^2T^{-2}$?

A Force
B Power
C Energy
D Pressure
Q9 MCQ

Convert 5 m/s to km/hr.

A 10 km/hr
B 12 km/hr
C 18 km/hr
D 25 km/hr
Q10 MCQ

The radius of a sphere is measured to be (5.3 ± 0.1) cm. Calculate the percentage error in the volume.

A 2%
B 4%
C 6%
D 8%
Q11 MCQ

The diameter of a sphere is measured to be 2.46 cm using a Vernier caliper with a least count of 0.01 cm. The permissible error in the surface area is:

A 0.01 cm$^2$
B 0.02 cm$^2$
C 0.03 cm$^2$
D 0.04 cm$^2$
Q12 MCQ

If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume is:

A 2%
B 4%
C 6%
D 8%
Q13 MCQ

Which of the following pairs have the same dimensions?

A Work and Power
B Momentum and Impulse
C Force and Momentum
D Energy and Power
Q14 MCQ

The speed of light, $c$, gravitational constant, $G$, and Planck's constant, $h$, are chosen as fundamental units. The dimensions of time in terms of these units are:

A $[G^{1/2}h^{1/2}c^{-5/2}]$
B $[G^{1/2}h^{1/2}c^{-3/2}]$
C $[G^{1/2}h^{1/2}c^{1/2}]$
D $[G^{1/2}h^{1/2}c^{-1/2}]$
Q15 MCQ

If $P = 20 \pm 0.5$ and $Q = 10 \pm 0.5$, then the value of $P/Q$ with error limits is:

A $2.0 \pm 0.05$
B $2.0 \pm 0.5$
C $2.0 \pm 0.025$
D $2.0 \pm 0.15$
Q16 MCQ

A physical quantity is represented by $X = M^aL^bT^c$. If the percentage errors in the measurements of M, L and T are $\\alpha$%, $\beta$% and $\\gamma$% respectively, then the percentage error in X is:

A $\\alpha + \beta + \\gamma$
B $a\\alpha + b\beta + c\\gamma$
C $(a\\alpha + b\beta + c\\gamma)$%
D $\frac{a}{\\alpha} + \frac{b}{\beta} + \frac{c}{\\gamma}$
Q17 MCQ

Light year is a unit of:

A Time
B Distance
C Luminosity
D Velocity
Q18 MCQ

The dimensions of kinetic energy are the same as that of:

A Force
B Work
C Pressure
D Momentum
Q19 MCQ

Which of the following pairs of physical quantities have different dimensions?

A Pressure and Young's modulus
B Stress and strain
C Energy and work
D Force and impulse
Q20 MCQ

The number of significant figures in 0.002050 are:

A 7
B 4
C 3
D 2
Q21 MCQ

The SI unit of luminous intensity is:

A Watt
B Candela
C Lumen
D Lux
Q22 MCQ

If $P = \frac{a}{t^2} + bt$, where $P$ is power, $t$ is time, then the dimensions of $a$ and $b$ are respectively:

A $[ML^2T^{-1}], [ML^2T^{-5}]$
B $[ML^2T^{1}], [ML^2T^{-5}]$
C $[ML^2T^{-1}], [ML^2T^{5}]$
D $[ML^2T^{-5}], [ML^2T^{-1}]$
Q23 MCQ

A physical quantity is measured and the result is expressed as $nu$ where $u$ is the unit used and $n$ is the numerical value. If the result is expressed in different units, then:

A $n \\propto$ size of $u$
B $n \\propto u^2$
C $n \\propto \sqrt{u}$
D $n \\propto \frac{1}{u}$
Q24 MCQ

Which of the following is not a unit of length?

A Light year
B Micron
C Parsec
D Radian
Q25 MCQ

The velocity of a particle is given by $v = at + bt^2$, where $v$ is in m/s and $t$ is in seconds. What are the units of $b$?

A m/s
B m/s$^2$
C m/s$^3$
D s/m
Q26 MCQ

A student measures the length of a rod and writes it as 3.50 cm. Which instrument did he use to measure it?

A A meter scale
B A vernier caliper
C A screw gauge
D An optical microscope
Q27 MCQ

The dimensions of force are:

A [MLT$^{-1}$]
B [MLT$^{-2}$]
C [M$^{2}$LT$^{-2}$]
D [ML$^{2}$T$^{-2}$]
Q28 MCQ

What is the number of significant figures in 0.002040?

A 3
B 4
C 6
D 7
Q29 MCQ

Which of the following is the most precise measurement?

A 5.00 mm
B 5.00 cm
C 5.00 m
D 5.00 km
Q30 MCQ

The velocity of a particle is given by $v = at + bt^2$, where $t$ is time. What are the dimensions of $b$?

A [LT$^{-1}$]
B [LT$^{-2}$]
C [LT$^{-3}$]
D [T$^{-1}$]
Q31 MCQ

A student measures the length of a rod as 3.51 m, 3.52 m, 3.50 m. Which of the following is the most appropriate representation of the result?

A 3.51 m
B 3.51 ± 0.01 m
C 3.51 ± 0.02 m
D 3.51 ± 0.00 m
Q32 MCQ

Convert 5 Joules to ergs. (1 Joule = $10^7$ ergs)

A $5 imes 10^5$ ergs
B $5 imes 10^6$ ergs
C $5 imes 10^7$ ergs
D $5 imes 10^8$ ergs
Q33 MCQ

Which of the following pairs of physical quantities does NOT have the same dimensional formula?

A Work and Energy
B Angle and Strain
C Impulse and Momentum
D Force and Pressure
Q34 MCQ

A student measures the length of a rod and writes it as 12.3 cm. Which instrument did he use to measure it?

A A meter scale
B A vernier calliper where the 10 divisions in vernier scale matches with 9 divisions in main scale and main scale has 10 divisions in 1 cm
C A screw gauge of 100 divisions on the circular scale and pitch as 1 mm
D An optical instrument
Q35 MCQ

The radius of a sphere is measured to be $(5.3 \pm 0.1)$ cm. Calculate the percentage error in the volume.

A $\frac{0.1}{5.3}\\% \times 100$
B $\frac{0.3}{5.3}\\% \times 100$
C $\frac{0.1}{5.3}\\% \times 300$
D $\frac{3}{5.3}\\% \times 100$

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