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A Carnot engine has an efficiency of $50\%$ when its source is at a temperature $327^\circ\text{C}$. The temperature of the sink is
The displacement of a particle along the x-axis is given by $x = a \sin^2 \omega t$. The motion of the particle corresponds to:
Candela is the unit of
If a body is executing simple harmonic motion with frequency $n$, then the frequency of its potential energy is:
A spring is stretched by $5 \text{ cm}$ by a force $10 \text{ N}$. The time period of the oscillations when a mass of $2 \text{ kg}$ is suspended by it is:
Identify the function which represents a non-periodic motion?
Match the following : Oxide Nature (a) $CO$ (i) Basic (b) $BaO$ (ii) Neutral (c) $Al_2O_3$ (iii) Acidic (d) $Cl_2O_7$ (iv) Amphoteric is correct option?
A cylinder of $500 \text{ g}$ and radius $10 \text{ cm}$ has moment of inertia (about its natural axis):
The circuit diagram shown here corresponds to the logic gate:
Cheilosis occurs due to the deficiency of:
An object is placed on the principal axis of a concave mirror at a distance of $1.5f$ ($f$ is the focal length). The image will be at:
An object is placed at a distance of 40 cm from a concave mirror of a focal length of 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be:
Which logic gate is represented by the following combination of logic gates?
A biconvex lens has power $P$. It is cut into two symmetrical halves by a plane containing the principal axis. The power of one part will be:
A plano-convex lens of unknown material and unknown focal length is given. With the help of a spherometer, we can measure the:
The output of the logic circuit shown is equivalent to a/an:
The angle of incidence for a ray of light at a refracting surface of a prism is $45^\circ$. The angle of prism is $60^\circ$. If the ray suffers minimum deviation through the prism, the angle of deviation and refractive index of the material of the prism respectively are:
If the focal length of the objective lens is increased, then magnifying power of :
A biconvex lens has radii of curvature, 20 cm each. If the refractive index of the material of the lens is 1.5, the power of the lens is:
Two transparent media A and B are separated by a plane boundary. The speeds of light in those media are $1.5 \times 10^8$ m/s and $2.0 \times 10^8$ m/s, respectively. The critical angle for a ray of light for these two media is: