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If the nuclear radius of ${}^{27}\mathrm{Al}$ is 3.6 Fermi, the approximate nuclear radius of ${}^{64}\mathrm{Cu}$ in Fermi is:
The barrier potential of a p-n junction depends on: (i) type of semiconductor material (ii) amount of doping (iii) temperature Which one of the following is correct?
Fusion reaction takes place at high temperature because:
A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since:
A thin prism of angle $15^{\circ}$ made of glass of refractive index $\mu_1=1.5$ is combined with another prism of glass of refractive index $\mu_2=1.75$. The combination of the prism produces dispersion without deviation. The angle of the second prism should be:
The voltage gain of an amplifier with $9\%$ negative feedback is $10$. The voltage gain without feedback will be:
Which one of the following represents forward biased circuit?
When two displacements represented by $y_1 = a \sin(\omega t)$ and $y_2 = b \cos(\omega t)$ are superimposed, the motion is:
When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index:
In the given circuits (a), (b), and (c), the potential drop across the two p-n junctions is equal in:
The given circuit has two ideal diodes connected as shown in the figure below. The current flowing through the resistance $R_1$ will be:
From the given functions, identify the function which represents a periodic motion:
A Zener diode, having breakdown voltage equal to $15\text{ V}$, is used in a voltage regulator circuit, as shown in the figure. The current through the diode is:
The collector current in a common base amplifier using n-p-n transistor is $24\text{ mA}$. If $80\%$ of the electrons released by the emitter are accepted by the collector, then the base current is numerically:
A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then, its time period in seconds is:
Match List-I with List-II. **List-I (Graphs)** (a) Displacement-time graph with decreasing amplitude (Damped) (b) Displacement-time graph with constant amplitude (Undamped) (c) Force-displacement graph (Linear relationship, F = -kx) (d) Energy-time graph (Constant total energy) **List-II (Situations)** (i) Total mechanical energy is conserved (ii) Bob of a pendulum is oscillating under negligible air friction (iii) Restoring force of a spring (iv) Bob of a pendulum is oscillating along with air friction Choose the correct answer from the options given below:
In a diffraction pattern due to a single slit of width $a$, the first minimum is observed at an angle $30^\circ$ when light of wavelength $5000\text{ \AA}$ is incident on the slit. The first secondary maximum is observed at an angle of
A cylindrical metallic rod in thermal contact with two reservoirs of heat at its two ends conducts an amount of heat $Q$ in time $t$. The metallic rod is melted and the material is formed into a rod of half the radius of the original rod. What is the amount of heat conducted by the new rod when placed in thermal contact with the two reservoirs in time $t$?
The given circuit is equivalent to:
An ideal gas is compressed to half its initial volume by means of several processes. Which of the following processes results in the maximum work being done on the gas?