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The surface tension of a liquid is $70\text{ dyne/cm}$. In MKS system its value is
If the error in the measurement of the radius of a sphere is $2\%$, then the error in the determination of the volume of the sphere will be:
The dimensional formula of relative density is:
Plane angle and solid angle have:
A body of mass $60 \text{ g}$ experiences a gravitational force of $3.0 \text{ N}$ when placed at a particular point. The magnitude of the gravitational field intensity at that point is:
Planck's constant ($h$), speed of light in vacuum ($c$) and Newton's gravitational constant ($G$) are three fundamental constants. Which of the following combinations of these has the dimensions of length?
The energy required to break one bond in DNA is $10^{-20}\text{ J}$. This value in eV is nearly:
The work done to raise a mass $m$ from the surface of the earth to a height $h$, which is equal to the radius of the earth, is:
A spherical planet has a mass $M_p$ and diameter $D_p$. A particle of mass $m$ falling freely near the surface of this planet will experience acceleration due to gravity equal to:
If energy ($E$), velocity ($v$) and time ($T$) are chosen as the fundamental quantities, the dimensional formula of surface tension will be
The figure shows the elliptical orbit of a planet $m$ about the sun $S$. The shaded area $SCD$ is twice the shaded area $SAB$. If $t_1$ is the time for the planet to move from $C$ to $D$ and $t_2$ is the time to move from $A$ to $B$, then:
Increase in temperature of a gas filled in a container would lead to :
A body of mass $m$ is taken from the Earth’s surface to the height equal to twice the radius ($R$) of the Earth. The change in potential energy of the body will be:
Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful?
In a vernier callipers, $(N+1)$ divisions of the vernier scale coincide with $N$ divisions of the main scale. If $1 \text{ MSD}$ represents $0.1 \text{ mm}$, the vernier constant (in cm) is:
The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:
A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate $g$, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are $e_1$ and $e_2$ respectively, the percentage error in the estimation of $g$ is
A thin flat circular disc of radius $4.5 \text{ cm}$ is placed gently over the surface of water. If the surface tension of water is $0.07 \text{ N m}^{-1}$, then the excess force required to take it away from the surface is:
The diameter of a spherical bob, when measured with vernier callipers yielded the values: 3.33 cm, 3.32 cm, 3.34 cm, 3.33 cm and 3.32 cm. The mean diameter to appropriate significant figures is:
The physical quantity that has the same dimensional formula as pressure is: