Units & Measurement and Dimensions PYQs - Last 5 Years
MHT CET / Physics / Mechanics / 33 recent questions
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Practice 33 MHT CET Physics questions from Units & Measurement and Dimensions. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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Last 5 Years Units & Measurement and Dimensions Questions
Showing 33 of 33 filtered questions.
1Units And Measurement And Dimensions
The percentage error in the measurement of mass of a body and its speed are $0.73\%$ and $1.84\%$ respectively. The percentage error in the measurement of its momentum and kinetic energy are respectively
MCQ+1 / -02026
2Units And Measurement And Dimensions
A physical quantity $x$ is related as $x = \sqrt{a}\ b^2 c^3 d^{-4}$. Relative errors in the quantities $a$, $b$, $c$ and $d$ are 2%, 1%, 3% and 4% respectively. Relative error in $x$ will be
MCQ+1 / -02026
3Units And Measurement And Dimensions
The voltage across a lamp is $(6.0 \pm 0.3)$ volt and the current passing through it is $(4.0 \pm 0.1)$ ampere. The power consumed in watt will be (using percentage error)
MCQ+1 / -02026
4Units And Measurement And Dimensions
A cuboid has volume $V = l \times l \times \sqrt{l}$, where $l$ is the length of one side. When the length $l$ is measured by a meter scale of least count $1\,\text{mm}$, the relative percentage error in the measurement of its volume is $6....
MCQ+1 / -02026
5Units And Measurement And Dimensions
If two resistors of resistances have values $R_1 = (350 \pm 3)\ \Omega$ and $R_2 = (140 \pm 4)\ \Omega$. The percentage error for the sum and difference of $R_1$ and $R_2$ are respectively
MCQ+1 / -02026
6Units And Measurement And Dimensions
The maximum error in the measurement of the density and mass of the uniform cube are 8% and 2% respectively. Hence, the maximum error in the measurement of length will be
MCQ+1 / -02026
7Units And Measurement And Dimensions
Mass and volume of a body are found to be $(6.00 \pm 0.03)$ kg and $(2.00 \pm 0.02)$ $\text{m}^3$ respectively. Then the density of a body is
MCQ+1 / -02026
8Units And Measurement And Dimensions
A force 'F' is applied on a square plate of side 'L'. If the percentage error in determining 'L' is 3% and that in 'F' is 2% then the percentage error in determining the pressure is
MCQ+1 / -02026
9Units And Measurement And Dimensions
A wire has mass $(0.3 \pm 0.003)$ gram, radius $(0.5 \pm 0.005)$ cm and length $(6 \pm 0.06)$ cm. The maximum percentage error in the measurement of density is
MCQ+1 / -02026
10Units And Measurement And Dimensions
The error in the measurement of length and mass of a cube is 3% and 4% respectively. The error in the measurement of its density will be
MCQ+1 / -02026
11Units And Measurement And Dimensions
The length of rod is measured by meter scale having least count $0.1$ cm and diameter is measured by vernier callipers having least count $0.01$ cm. Length of rod is $5.0$ cm and radius $2.0$ cm. The percentage error in the calculated value...
MCQ+1 / -02026
12Units And Measurement And Dimensions
A wire has mass $(0.3 \pm 0.003)$ gram, radius $(0.5 \pm 0.005)$ mm and length $(6 \pm 0.06)$ cm. The maximum error in the measurement of density is
MCQ+1 / -02026
13Units And Measurement And Dimensions
According to Boyle's law, the product PV remains constant. The SI unit of PV is same as that of
MCQ+1 / -02026
14Units And Measurement And Dimensions
The period of oscillation of a simple pendulum is $T = 2\pi (L/g)^{1/2}$. Measured value of 'L' is 10 cm known to 1 mm accuracy and time for 100 oscillations is 50 second, using a watch of 1 second resolution. The percentage error in the me...
MCQ+1 / -02026
15Units And Measurement And Dimensions
The length of a cylinder is measured with a meter rod having least count $0.1$ cm. Its diameter is measured with vernier calipers having least count $0.01$ cm. Length of cylinder is $8.0$ cm and radius is $4.0$ cm. Find the percentage error...
MCQ+1 / -02026
16Units And Measurement And Dimensions
The period of oscillation of a simple pendulum is given by $T = 2\pi \sqrt{\dfrac{l}{g}}$ where $l$ is about $80$ cm and is known to have $0.1$ cm accuracy. The period is about $1.5$ s. The time of $50$ oscillations is measured by a stop wa...
MCQ+1 / -02026
17Units And Measurement And Dimensions
A quantity P is related as $X^{-2}Y^{-3/2}Z^{2/5}$ where X,Y,Z are independent parameters which have fractional errors of $0.1, 0.2$ and $0.5$ respectively in measurement. The maximum fractional error in P is
MCQ+1 / -02026
18Units And Measurement And Dimensions
A physical quantity ' X ' is related to four measurable quantities ' $a$ ', ' $b$ ', ' $c$ ' and ' $d$ ' as $\mathrm{X}=\mathrm{a}^2 \mathrm{~b}^3 \mathrm{c}^{5 / 2} \mathrm{~d}^{-2}$. The percentage error in the measurement of 'a', 'b', 'c...
MCQ+1 / -02025
19Units And Measurement And Dimensions
The error in the measurement of length and mass is $3 \%$ and $4 \%$ respectively. The error in the measurement of density will be
MCQ+1 / -02025
20Units And Measurement And Dimensions
In an experiment four quantities $\mathrm{p}, \mathrm{q}, \mathrm{r}$ and s are measured with percentage $3 \%, 2 \%, 3 \%$ and $1 \%$ respectively. Quantity ' $A$ ' is calculated as follows
$\mathrm{A}=\frac{\mathrm{pq}^2}{\mathrm{r}^2 \ma...
$\mathrm{A}=\frac{\mathrm{pq}^2}{\mathrm{r}^2 \ma...
MCQ+1 / -02025
21Units And Measurement And Dimensions
A wire has a mass $0.3 \pm 0.003$ gram, radius $0.5 \pm 0.005 \mathrm{~mm}$ and length $6 \pm 0.06 \mathrm{~cm}$. The maximum percentage error in the measurement of its density is
MCQ+1 / -02025
22Units And Measurement And Dimensions
A force F is applied on a square plate of side L . If the percentage error in determining F is $3 \%$ and that in L is $2 \%$, then the percentage error in determining the pressure is
MCQ+1 / -02025
23Units And Measurement And Dimensions
Which of the following comes under the category of random errors?
MCQ+1 / -02025
24Units And Measurement And Dimensions
The pressure on a square plate is measured by measuring the force acting on the plate and length of the sides of the plate. The maximum error in the measurement of force and length are respectively $4 \%$ and $2 \%$, the percentage error in...
MCQ+1 / -02025
25Units And Measurement And Dimensions
The period of oscillating simple pendulum is $\mathrm{T}=2 \pi \sqrt{\frac{l}{\mathrm{~g}}}$ where length ' $l$ ' is 100 cm with error 1 mm . Period is 2 second. The time of 100 oscillations is measured by a stopwatch of least count 0.1s. T...
MCQ+1 / -02025
26Units And Measurement And Dimensions
The percentage error in the measurement of mass and speed of a particular body is $3 \%$ and $4 \%$ respectively. The percentage error in the measurement of kinetic energy is
MCQ+1 / -02025
27Units And Measurement And Dimensions
A physical quantity A can be determined by measuring parameters $\mathrm{B}, \mathrm{C}, \mathrm{D}$ and E using the relation $A=\frac{B^a C^\beta}{D^\gamma E^\delta}$. If the maximum errors in the measurement are $\mathrm{b} \%, \mathrm{c}...
MCQ+1 / -02025
28Units And Measurement And Dimensions
Error in the measurement of radius of the sphere is $2 \%$. The error in the calculated value of its volume is
MCQ+1 / -02025
29Units And Measurement And Dimensions
A student measures time for 20 oscillations of a simple pendulum as $30 \mathrm{~s}, 32 \mathrm{~s}, 35 \mathrm{~s}$ and 35 s . If the minimum division in the measuring clock is 1 s , then correct mean time (in second) is
MCQ+1 / -02025
30Units And Measurement And Dimensions
The density of a cube is measured by measuring its mass and length of its sides. The \% error in the measurement of mass and length are $5 \%$ and $6 \%$ respectively. The percentage error in the measurement of density is
MCQ+1 / -02025
31Units And Measurement And Dimensions
The formula for the physical quantity is $\mathrm{P}=\frac{\mathrm{x}^3 \mathrm{y}}{\mathrm{z}^2}$ and the percentage error in the determination of physical quantities $\mathrm{x}, \mathrm{y}, \mathrm{z}$ are $0.6 \%, 3 \%$ and $1.3 \%$ res...
MCQ+1 / -02025
32Units And Measurement And Dimensions
The initial and final temperatures of water as recorded by an observer are $(38.6 \pm 0.2){ }^{\circ} \mathrm{C}$ and $(82.3 \pm 0.3){ }^{\circ} \mathrm{C}$. The rise in temperature with proper error limits is
MCQ+1 / -02025
33Units And Measurement And Dimensions
If $L$ is the inductance and $R$ is the resistance then the SI unit of $\frac{L}{R}$ is
MCQ+1 / -02025
