List of practice Questions

The general solution of the differential equation $\frac{d^{2}y}{d{x}^2}+8\frac{dy}{dx}+16y=0$ is

Find the sum of :
(a) 137 and – 354
(b) – 52 and 52
(c) – 312, 39 and 192
(d) – 50, – 200 and 300

The ratio of the ages of a husband and his wife when they got married was 6:5. 4 years and 6 years after their marriage they had their 1st and 2nd children. The sum of the present ages of the husband and wife is 6.4 times the sum of the present ages of their children. The average age of the family at present is 18.5 years. Find the ratio of the ages of the husband and wife when their second child was born.

A wave executes a periodic motion $y=2\sin \frac{\pi }{4}\left(4t+\frac{x}{2}\right)$. What is the frequency?

Two harmonic waves $y_1=a\cdot \sin (kx-\omega t)$ and $y_2=a\cdot \sin (kx-\omega t+\varphi )$ are moving in the same direction, if both the waves are superimposed then the initial phase angle of the resultant wave is:

The intensity ratio of two waves is $1:9$. The ratio of their amplitudes, is

A rod of mass M and length L is pivoted about its end O as shown in the figure. Find the period of SHM.

A charge of $10$ $\mu C$ is brought from infinity to point $P$ in an external electric field. Point $P$ is located at a distance of $5$ cm away from $5$ $\mu C$ charge. Calculate the work done to bring the $10$ $\mu C$ to point $P$ from infinity?

The correct name of $\left[Pt{\left(N{H}_3\right)}_{4}C{l}_2\right]\left[PtC{l}_4\right]$ is:

Which of the following is not a thermodynamic coordinate?

The ionization energy of hydrogen atom in excited state is:

The iron blade has a ring in which the wooden handle is fixed. The ring is slightly smaller in size than a wooden handle. The ring is heated. When the ring cools, it ______________ and tightly fits on the handle.

Two photons of same frequency are produced due to the annhiliation of a proton and antiproton. Wave length of the proton so produced is:

What are weeds? How can we control them?

A staminode does not possess

Which one is different from the others ? (i) empty (ii) void (iii) zero (iv) null :

Wire bound resistors are made by

Phenyl methyl ether (anisole) reacts with $HI$ to give phenol and methyl iodide and not iodobenzene and methyl alcohol because

A nucleus with mass number 220 initially at rest emits an $\alpha$ - particle. If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of $\alpha$-particle.

The organic halogen compound used as refrigerant in refrigerators and air-conditioners is

Two bodies of masses $m_1$ and $m_2$ initially at rest at infinite distance apart move towards each other under gravitational force of attraction. Their relative velocity of approach when they are separated by a distance $r$ is (G = Universal gravitational constant)

Which graph correctly represents the photo current (i) vs stopping potential (Vs) for the same frequency but different intensity? $(here, I_1 › I_2)$

The number of solutions of log2(x – 1) = 2 log2(x – 3) is

$\sum _{r=0}^{m}n+r{c}_r$ is equal to

The locus of the centre of a circle which passes through two variable points (a, 0), (–a, 0) is