Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
Henry/ohm can be expressed in:
In a guitar, two strings $A$ and $B$ made of same material are slightly out of tune and produce beats of frequency $6 \text{ Hz}$. When tension in $B$ is slightly decreased, the beat frequency increases to $7 \text{ Hz}$. If the frequency of $A$ is $530 \text{ Hz}$, the original frequency of $B$ will be:
If $P$ represents radiation pressure, $c$ represents speed of light and $Q$ represents radiation energy striking a unit area per second, then non-zero integers $x, y$ and $z$ such that $P^x Q^y c^z$ is dimensionless, are
The period of a body under SHM is presented by $T = P^a D^b S^c$; where $P$ is pressure, $D$ is density and $S$ is surface tension. The value of $a$, $b$ and $c$ are:
The dimensions of universal gravitational constant are
If energy ($E$), velocity ($v$) and time ($T$) are chosen as the fundamental quantities, the dimensional formula of surface tension will be:
The frequency of vibration f of a mass m suspended from a spring of spring constant K is given by a relation of this type f = C m^x K^y; where C is a dimensionless quantity. The value of x and y are:
Three capacitors each of capacitance $C$ and of breakdown voltage $V$ are joined in series. The capacitance and breakdown voltage of the combination will be:
Out of the following, the only pair that does not have identical dimensions is
The unit of thermal conductivity is:
Joule-second is the unit of:
A screw gauge has the least count of $0.01\text{ mm}$ and there are $50$ divisions in its circular scale. The pitch of the screw gauge is:
The angle of $1'$ (minute of an arc) in radian is nearly equal to:
A Screw Gauge gives the following readings when used to measure the diameter of a wire. Main scale reading = $0.0\text{ mm}$ Circular scale reading = $52\text{ divisions}$ Given that: $1\text{ mm}$ on the main scale corresponds to $100\text{ divisions}$ of the circular scale. The diameter of the wire from the above data is:
A capillary tube of radius $r$ is immersed in water and water rises in it to a height $h$. The mass of the water in the capillary is 5 g. Another capillary tube of radius $2r$ is immersed in water. The mass of water that will rise in this tube is:
A monochromatic light of frequency 500 THz is incident on the slits of Young's double slit experiment. If the distance between the slits is 0.2 mm and the screen is placed at a distance 1 m from the slits, the width of 10 fringes will be:
An electron is accelerated through a potential difference of 10,000 V. Its de Broglie wavelength is, (nearly) : ($m_e = 9 \times 10^{-31}$ kg)
Given below are two statements: Assertion (A): A glass tube partially filled with water represents an open organ pipe. Reason (R): The open end corresponds to an antinode and the end in contact with water, to a node. In the light of the above statements, choose the correct answer from the options given below:
Dimensional formula of capacitance is:
A man drops a ball downwards from the roof of a tower of height $400 \text{ m}$. At the same time, another ball is thrown upwards with a velocity $50 \text{ m/s}$ from the surface of the tower. They will meet at which height from the surface of the tower?