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Which of the following is NOT a fundamental unit in the SI system?
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:
Which of the following pairs of physical quantities have different dimensions?
If the percentage error in the measurement of radius of a sphere is 2%, then the percentage error in the determination of volume is:
The number of significant figures in $0.002040$ is:
The dimensions of Planck's constant are the same as that of:
The length of a rod is measured as $25.0$ cm using a meter scale having a least count of $0.1$ cm. What is the maximum percentage error in the measurement?
A physical quantity $P$ is related to four observables $a, b, c$ and $d$ as follows: $P = rac{a^3 b^2}{\sqrt{c} d}$. The percentage errors of measurement in $a, b, c$ and $d$ are $1\%, 3\%, 4\%$ and $2\%$, respectively. What is the percentage error in the quantity $P$?
If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are:
Which of the following instruments is most suitable for accurately measuring the diameter of a thin wire?
The diameter of a sphere is measured to be $(4.00 \pm 0.02)$ cm. Calculate the percentage error in the volume of the sphere.
Which of the following physical quantities has the dimensions $[ML^2T^{-3}A^{-2}]$?
The length of a rod is measured as 3.51 m using an instrument that has an accuracy of 0.01 m. Which of the following is the correct way to represent the result?
If the units of force, energy and velocity are $100$ N, $500$ J and $5$ m/s respectively, what are the units of mass, length and time?
The main scale of a vernier calipers reads 10 mm in 10 divisions. If the vernier scale has 10 divisions which coincide with 9 main scale divisions, determine the least count of the vernier calipers.
The density of a cube is found by measuring its mass and the length of its side. If the maximum errors in the measurement of mass and length are 0.2% and 0.3% respectively, what is the maximum error in the measurement of the density?
A student measures the time period of 100 oscillations of a simple pendulum four times. The readings are 90 s, 91 s, 92 s and 95 s. If the least count of the watch used is 1 s, then the mean absolute error in the measurement of time period is:
Which of the following pairs of physical quantities have the same dimensions?
In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. If the unit of energy in this system is $x$ J, then the value of $x$ is:
Which of the following is NOT a unit of time?
The length of a rod is measured as $(25.0 \pm 0.1)$ cm. What is the percentage error in the measurement?
The radius of a sphere is measured to be $(1.50 \pm 0.02)$ cm. Calculate the surface area with error limits.
What is the number of significant figures in 0.002050?
If the velocity of a particle is given by $v = at + bt^2$, where $t$ is time, the dimensions of $b$ are:
The period of oscillation of a simple pendulum is given by $T = 2\pi \sqrt{\frac{L}{g}}$, where $L$ is about 100 cm and is known to have 1 mm accuracy. The period is about 2 s. If the resolution of the stop watch is 0.1 s, the percentage error in the determination of $g$ is:
Convert 5 Joules into ergs.
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 unit $u$ is increased, then the numerical value $n$:
The dimensional formula for gravitational constant $G$ is:
A student measures the thickness of a glass plate using a screw gauge and obtains values 2.17 mm, 2.18 mm, 2.19 mm, 2.17 mm and 2.18 mm. What is the mean absolute error in the measurement?
If the units of force, energy and velocity are 10 N, 100 J and 5 m/s, respectively, then the units of length, mass and time are:
The length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm, respectively. The area of the sheet in appropriate significant figures is:
Which of the following measurements is most precise?
The equation of state of a gas is given by $(P + rac{a}{V^2})(V - b) = RT$, where $P$ is the pressure, $V$ is the volume, $T$ is the temperature, and $R$ is the gas constant. What are the dimensions of $a$?
If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume will be:
The velocity of a particle is given by $v = at + bt^2$, where $t$ is time. The dimensions of $b$ are:
The diameter of a sphere is measured to be $(2.50 \\pm 0.01)$ cm. Calculate the percentage error in the calculation of its volume.
Which of the following pairs of physical quantities does NOT have the same dimensional formula?
If the units of force, energy and velocity are 10 N, 100 J and 5 m/s respectively, then the units of mass, length and time would be:
The length of a rod is measured using a Vernier caliper. The main scale reading is 15.3 cm and the Vernier coincidence is 7. If the Vernier constant is 0.1 mm, what is the length of the rod?
The density of a cube is determined by measuring its mass and the length of its side. If the maximum errors in the measurement of mass and length are 4% and 3% respectively, what is the maximum error in the measurement of density?
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This Physics test for Class 11 ICSE contains 40 questions.
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