List of practice Questions

If the velocity of an electron in Bohr?? first orbit is $2.19 \times 10^6\, m\, s^{-1}$, what will be the de Broglie wavelength associated with it?

If the wavelength of first member of Balmer series of hydrogen spectrum is 6564 A$^\circ$, the wavelength of second member of Balmer series will be:

If the wavelength of the first line of the Balmer series of hydrogen is $6561 \, ?$, the wavelength of the second line of the series should be

If the time of flight of a projectile is doubled, what happens To the maximum height attained

If the value of $1 + 2 + 3 + ..........+n $ is $55,$ then the value of $1^3 + 2^3 + 3^3 + ..........+ n^3$ is

If the value of force is $100 \,N$ and value of acceleration is $0.001 \,ms^{-2}\, s$, what is the value of mass in this system of units ?

If the temperature of hot black body is raised by $5\%$, rate of heat energy radiated would be increased by how much percentage ?

If the term of an infinite G.P. is equal to twice the sum of all the terms that follows it, then the common ratio is

If the three planes x = 5, 2x - 5ay + 3z - 2 = 0 and 3bx + y - 3z = 0 contain a common line, then (a, b) is equal to

If the standard electrode potential of $Cu^{2+}/ Cu$ electrode is 0.34 V, what is the electrode potential of 0.01 M concentration of $Cu^{2+}$?(T = 298 K)

If the sum of the roots of the equation $(m + 1) x^2 + 2mx + 3 = 0 $ is $1$, then the value of $m$ is

If the set $A$ contains $5$ elements and the set $B$ contains $6$ elements, then the number of one-one and onto mappings from $A$ to $B$ is

If the set A has p elements, B has q elements, then the number of elements in $A \times B$ is

If the sets A and B are as follows : A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, then

If the ratio of the sums of $m$ and $n$ terms of an $A.P$. is $m^2 : n^2$, then the ratio of its $m^{th}$ and $n^{th}$ terms is

If the refractive indices of crown glass for red, yellow and violet colours are 1.5140, 1.5170 and 1.5318 respectively and for flint glass these are 1.6434, 1.6499 and 1.6852 respectively, then the dispersive power for crown and flint glass are respectively:

If the rms current in a $50\, Hz$ ac circuit is $5\, A$, the value of the current $1/300$ seconds after its value becomes zero is

If the roots of the equation $x^2 + 2ax + b = 0$ are real and distinct and they differ by at most $2m$, then $b$ lies in the interval

If the pth term of an A.P. is q and the qth term is p, then (p + q)th,term is

If the radius of a spherical balloon increases by 0.2%. Find the percentage increase in its volume

If the radius of first Bohr's orbit is x ,then de-Broglie wavelength of electron in 3rd orbit is nearly

If the pressure potential is +0.16 megapascals (mPa) and the osmotic potential is -0.24 megapascals, then the water potential would be

If the projections of the line segment AB on the yz-plane, zx-plane, xy-plane are $\sqrt{160} , \sqrt{153} , 5 $ respectively then the projection of AB on the z-axis is

If the protential energy of the electron in the hydrogen atom is $\frac {-Ke^2}{r}, $ its kinetic energy is

If the pth, qth and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is