List of practice Questions

A solid sphere, hollow sphere, and solid cylinder start sliding from an inclined plane without rolling. Then the ratio of time taken by them to reach the ground is?
A liquid of density \( d \) is moving down in a vessel of height \( h \) with an acceleration \( a<g \). Then the pressure at the bottom is?
De Broglie wavelength of a quantum photon having energy \( E \)?
Work done on splitting a spherical drop into 8 droplets?
The fundamental frequency of a string of length \( l \) is \( n \). The string is cut into 3 parts \( l_1, l_2, \) and \( l_3 \), each having fundamental frequency \( n_1, n_2, n_3 \). Then, what is the relationship between \( n_1, n_2, n_3 \)?
Tension of a rope when a man of mass \( m \) climbs up or down with an acceleration \( a<g \)?
Wave nature of light can be used to explain which phenomenon?
What is the maximum wavelength to excite a hydrogen atom?
How can we decrease the effective capacitance of a parallel plate capacitor?
\( M^0 L T^{-1} \) is the dimension of ___________?
The inward electric flux through a closed surface is \( 6 \times 10^{-5} \) and the outward flux is \( 3 \times 10^{-5} \). Then the total charge enclosed is?
Relation between the drift velocity and an electric field is ----?
Find the resistance required to be connected to a galvanometer of resistance \(100 \, \Omega\) with a full scale deflection of 1mA into a voltmeter of range 1V.
Brewster's angle should lie between?
The ratio of the angular speed of the minute hand to the second hand of a watch is?
Number of degrees of freedom for the monoatomic gas molecule is?
After a collision, two particles move together, then the collision is?
Which of the following statement is true?
In a Carnot engine, efficiency is dependent on ________?
The product of the first five terms of a GP is 32. What is the 3rd term?
What is the value of n when \( t_n = \frac{n(n+6)}{n+4} \) and \( t_n = 5 \)?
If \(x + z = 2y\) and \(y = \frac{\pi}{4}\), what is \( \tan x \cdot \tan y \cdot \tan z \)?
If \( 5 \sin^{-1} \alpha + 3 \cos^{-1} \alpha = \pi \), then \( \alpha = ? \)
If \( A \) is a \( 3 \times 3 \) matrix and \( |B| = 3|A| \) and \( |A| = 5 \), then find \( \left| \frac{\text{adj} B}{|A|} \right| \).
Find the value of \( Z^2 \) if \( Z = \left( 1 + \frac{1}{i} \right) \).