List of practice Questions

A pure inductor of $25 \,mH$ is connected to a source of $220\, V$. Given the frequency of the source as $50\, Hz$, the $rms$ current in the circuit is

A pure inductive coil of $ 30\,mH $ is connected to an $ AC $ source of $ 220 \,V $ , $ 50 \,Hz $ . The $ rms $ current in the coil is

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses its direction and moves with a speed of 2 ms ~ . Which of the following statement(s) is/are correct for the system of these two masses?

Rat poison is obtained from

Many phenotypic characters are controlled by

The movement of water from higher water potential to lower water potential through a semi-permeable membrane is called

The meristem that is parallel to the longitudinal axis of the plant is

Spadix type of inflorescence is seen in

Incomplete dominance is demonstrated in

Which one of the following is a modified stem that performs photosynthesis?

A group of individuals, which are able to breed among themselves and produce their own kind, is known as

Which one of the following is not an autoimmune disease?

The strongest Lewis acid among boron halides is

Let $A = \{ 0,1,2 \}$, $B =\{ 4,2,0 \}$ and $ f,g $ : $ A \rightarrow B $ be the functions defined by $ f(x) = x^2-x $ and $ g(x) = 2|x-\frac{1}{2}|-1 $ Then,

Let $f = \{ (1,1),(2,4),(0,- 2),(-1,- 5) \}$ be a linear function from $ Z $ into $ Z $ . Then, $ f (x) $ is

The ratio in which the line segment joining the points $(4, 8, 10)$ and $(6, 10, - 8)$ is divided by xy-plane is

The value of $\lambda$ for which the lines $\frac{1-x}{3}=\frac{y-2}{2\lambda}=\frac{z-3}{2}$ and $ \frac{x-1}{3\lambda}=\frac{y-1}{1}=\frac{6-z}{7}$

If $ A $ is a square matrix such that $ A^2 $ = $ A $ , then $ (I-A)^3+A $ is equal to

A fair coin is tossed $ n $ number of times. If the probability of having at least one head is more than 90%, then $ n $ is greater than or equal to

The co-ordinates of a point on the line $\frac{x-1}{2}=\frac{y+1}{-3}=z$ at a distance $4\sqrt{14}$ from the point $(1, - 1, 0)$ are

Which one of the following is not associated with the total internal reflection?

The following figure represents

A block of mass $m$ is placed on a smooth sphere of radius $R$. It slides when pushed slightly. At what distance $h$, from the top, will it leave the sphere?

Choose the incorrect statement out of the following.

If $E, M, L$ and $G$ denote energy, mass, angular momentum and gravitational constant respectively, then the quantity $\left(E^{2} L^{2} / M^{5} G^{2}\right)$ has the dimensions of