List of practice Questions

Match the following

Identify the Taxonomists from the group of scientists mentioned below: Hugodevries, Endlicher, Frankel Konrat, Haeckel, de Candolle, Hanning

Read and find the correct statement from the given below
A. Species is a group of individual organisms with fundamental dissimilarities.
B. Few similar characters are assigned to a higher category in a division.
C. A decrease in number of common characters is observed from species to kingdom.
D. Lower taxa shares more characters within the members.

If the function \(f(x)=\begin{cases}(1+|\cos x|) \frac{\lambda}{|\cos x|} & , 0 < x < \frac{\pi}{2} \\\mu & , \quad x=\frac{\pi}{2} \\\frac{\cot 6 x}{e^{\cot 4 x}} & \frac{\pi}{2}< x< \pi\end{cases}\)is continuous at \(x=\frac{\pi}{2}, then 9 \lambda+6 \log _{ e } \mu+\mu^6- e ^{6 \lambda}\) is equal to

A disaccharide X cannot be oxidised by bromine water. The acid hydrolysis of X leads to a laevorotatory solution. The disaccharide X is

An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas is 𝑛. The internal energy of one mole of the gas is 𝑈_𝑛 and the speed of sound in the gas is v_𝑛. At a fixed temperature and pressure, which of the following is the correct option?

In list - I some conversions are shown and in the list- II emitted particles are shown. Match the column

	List-I		List- II
(P)	\(_{92}^{238}\textrm{U}\) → \(_{91}^{234}\textrm{Pa}\)	(1)	one α particle and one β⁺ particle
(Q)	\(_{82}^{214}\textrm{Pb}\) → \(_{82}^{210}\textrm{Pb}\)	(2)	Three β^- particle and 1 α particle
(R)	\(_{81}^{210}\textrm{Tl}\) → \(_{82}^{206}\textrm{Pb}\)	(3)	Two β^- particle and 1 α particle
(S)	\(_{81}^{228}\textrm{Pa}\)→ \(_{88}^{224}\textrm{Ra}\)	(4)	one α particle and one β^- particle
		(5)	one α particle and two β⁺ particle

Taking the first reflection of M₁. If the final image coincides with s, then find n.

The degree of freedom of an ideal gas is n. The internal energy of 1 mole of the gas is U_n and the speed of sound n the gas is V_n. At a fixed temperature and pressure, which of the following is correct?

A ball is released on a smooth plane as shown. It strikes with the ground, the coefficient of restitution is \(\frac{1}{\sqrt{3}}\) Choose the correct options

Find the α, β, γ in the Y = \(C^\alpha h^\beta G^\gamma,\,\,\)
\(\gamma\) = Young's Modulus
\(c\) = speed of Light
\(h\) = Plank's Constant
\(G\) = gravitational Constant

When a force \(\overrightarrow F = xy²\hat i + x²y\hat j N\) acts on a particle and moves it along a straight line from the origin to the point (4, 0), the work done is,

If \(P(B) = \frac{3}{5}\), \(P(A/B) = \frac{1}{2}\), and \(P(A \cup B) = \frac{4}{5}\), then \(P(A \cup B)' + P(A')\) is :

\(\int x^x(1 + \log x) \, dx\), \(\text{ is equal to:}\)

One volt induced emf is produced in the secondary coil when the current through the primary coil is changed from 3 A to 1 A in 100 milliseconds. The mutual inductance of the two coils is:

The current drawn by the primary coil of an ideal transformer, which steps up 22 V into 220 V, to operate a device having a load resistance of 110 \(\Omega\) is:

Which of the following statement is true when a gamma decay occurs from the nucleus of an atom?

The current passing through the 100\(\Omega\) resistor in the given electrical circuit is:

The force between two electric point charges at rest in air is \( F_1 \). When the same arrangement is kept inside water, the force between them is \( F_2 \). Which of the following statement is correct?

A neutron makes a head-on elastic collision with a lead nucleus. The ratio of nuclear mass to neutron mass is 206. The fractional change in kinetic energy of a neutron is:

A battery is made of 12 cells having emf 5 V each. If three cells are unknowingly connected wrong, the resultant emf of the battery will be:

A circular loop of area 0.04 m\(^2\) carrying a current of 10 A is held with its plane perpendicular to a magnetic field induction of 0.4 T. Then the torque acting on the circular loop is:

In the photoelectric experiment, the frequency of the incident radiation is double(D) What will be its effect on the photoelectric current?

A drone is flying due west, a little above the train, with a speed of 10 m/s. A 270 meter long train is moving due east at a speed of 20 m/s. The time taken by the drone to cross the train is:

\( F_A, F_B, \) and \( F_C \) are three forces acting at point \( P \) as shown in the figure. The whole system is in equilibrium state. The magnitude of \( F_A \) is: