List of practice Questions

In Young?? double slit experiment with sodium vapour lamp of wavelength 589 nm and the slits 0.589 mm apart, the half angular width of the central maximum is
If $x > 0$ and $\log_{3} x+\log_{3}\left(\sqrt{x}\right)+\log_{3}\left(\sqrt[4]{x}\right)+\log_{3}\sqrt[8]{x}+\log_{3}\left(\sqrt[16]{x}\right)+....=4,$ then x equals

The orthocentre of the triangle with vertices $O(0, 0), A(0,3/2)$ and $B(-5, 0)$ is

If $\frac {x^2}{36}-\frac{y^2} {k^2} = 1$ is a hyperbola, then which of the following statements can be true ?
If a and b are vectors such that $|a+b|=|a-b|$ then the angle between a and b is
In Raman effect, Stoke's lines are spectral lines having
Angle strain in cyclopropane is
Most favourable condition for ionic bonding are
The value of the integral $\int\limits_0^{\pi/2}$($Sin^{100} x-Cos^{100}x)dx$ is
The equation to two circles which touch the Y-axis at $(0, 3)$ and make an intercept of $8$ units on X-axis are
If $3x + y + k = 0$ is a tangent to the circle $x^2+y^2=10$ the values of k are,
If $sin \, 3 \,\theta\, = \, Sin \, \theta$ , how many solutions exist such that $-2 \pi
Two condensers, one of capacity \(C\) and the other capacity \(\frac{C}{2}\) are connected to a \(V\) -volt battery, as shown in the figure. 
Two condensers
The work done in charging fully both the condensers is
The product formed when hydroxylamine condenses with a carbonyl compound is called
Paracetamol is a/an
In the ionic equation : $BiO _{3}^{-}+6 H ^{+}+ Xe ^{-} \longrightarrow Bi ^{3+}+3 H _{2} O$ the value of $X$ is -
Two satellites of earth, $ S_1 $ and $ S_2 $ , are moving in the same orbit. The mass of $ S_1 $ is four times the mass of $ S_2 $ . Which one of the following statements is true ?
Out of $15$ persons, $10$ can speak Hindi and $8$ can speak English. If two persons are chosen at random, then the probability that one person speaks Hindi only and the other speaks both Hindi and English is
The principle of $LASER$ action involves
Drosophila flies with $XXY$ genotype are females, but human beings with such genotype are abnormal males, it shows that
Light from two coherent sources of the same amplitude $A$ and wavelength $\lambda$ illuminates the screen. The intensity of the central maximum is $I_0$. If the sources were incoherent, the intensity at the same point will be
If $\vec {a}= {2\hat{i}}+3\hat{j}-\hat k,\vec b = \hat i+2 \hat j-5 \hat k ,\vec{ c} =3 \hat i+ 5\hat j-\hat k,$ then a vector perpendicular to $\vec{a}$ and in the plane containing $\vec {b}$ and $\vec {c}$ is
OA and BO are two vectors of magnitudes 5 and 6 respectively. If $\angle B O A=60^{\circ}$, then $0 A \cdot O B$ is equal to
If $A = \begin{bmatrix} {1}&{-2} &{2}\\ {0}&{2}& {-3} \\ {3}&{-2}&{4}\\ \end{bmatrix} $,then $A . adj(A)$ is equal to
Acidified sodium fusion extract on addition of ferric chloride solution gives blood red colouration which confirms the presence of