Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
An infinite number of bodies, each of mass $2 \text{ kg}$ are situated on the $x$-axis at distances $1 \text{ m}, 2 \text{ m}, 4 \text{ m}, 8 \text{ m}, ......$ respectively, from the origin. The resulting gravitational potential due to this system at the origin will be:
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:
Which of the following molecule/ion is not paramagnetic:
The value of Planck's constant is $6.63 \times 10^{-34} \text{ J s}$. The velocity of light is $3.0 \times 10^8 \text{ m s}^{-1}$. The closest value to the wavelength in nanometers of a quantum of light with a frequency of $8 \times 10^{15} \text{ s}^{-1}$ is:
A body weighs $200 \text{ N}$ on the surface of the earth. How much will it weigh halfway down the centre of the earth?
The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:
What is the correct family and electronic configuration for element Z = 114?
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
If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string 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:
A small hole of an area of cross-section $2 \text{ mm}^2$ is present near the bottom of a fully filled open tank of height $2 \text{ m}$. Taking $g = 10 \text{ m/s}^2$, the rate of flow of water through the open hole would be nearly:
The approximate depth of an ocean is $2700 \text{ m}$. The compressibility of water is $45.4 \times 10^{-11} \text{ Pa}^{-1}$ and the density of water is $10^3 \text{ kg/m}^3$. What fractional compression of water will be obtained at the bottom of the ocean?
The percentage error in the measurement of $g$ is: (Given, $g=\frac{4\pi^2L}{T^2}$, $L=(10\pm0.1)\text{ cm}$, $T=(100\pm1)\text{ s}$)
The number of electrons that can be fit into the orbital for which n = 3 and l = 1 is:
Calculate the energy in Joule corresponding to light of wavelength 45 nm: (Planck's constant h = 6.63 × 10⁻³⁴ Js; speed of light c = 3 × 10⁸ ms⁻¹)
At what height from the surface of earth the gravitation potential and the value of g are -5.4 × 10^7 J kg^-1 and 6.0 m s^-2 respectively? (Take the radius of earth as 6400 km.)
The velocity of a small ball of mass $M$ and density $d$, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $d/2$, then the viscous force acting on the ball will be:
Dimensional formula $ML^2T^{-3}$ represents