KCET 2021

Two bodies of masses \(8 \mathrm{~kg}\) are placed at the vertices \(A\) and \(B\) of an equilateral triangle \(A B C\). A third body of mass \(2 \mathrm{~kg}\) is placed at the centroid \(G\) of the triangle. If $$A G=B G=C G=1 \mathrm{~m}...

A gas mixture contains monoatomic and diatomic molecules of 2 moles each. The mixture has a total internal energy of (symbols have usual meanings)

A number of Carnot engines are operated at identical cold reservoir temperatures \((T_L)\). However, their hot reservoir temperatures are kept different. A graph of the efficiency of the engines versus hot reservoir temperature \((T_H)\) is...

Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?

Earth's magnetic field always has a horizontal component except at

A particle starts from the origin at \(t=0\) with a velocity of \(10 \hat{\mathbf{j}} \mathrm{ms}^{-1}\) and move in the \(x\)-\(y\) plane with a constant acceleration of \((8 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}) \mathrm{ms}^{-2}\). At an i...

The trajectory of projectile is

The maximum range of a gun on horizontal plane is \(16 \mathrm{~km}\). If \(\mathrm{g}=10 \mathrm{~ms}^{-2}\), then muzzle velocity of a shell is

For a projectile motion, the angle between the velocity and acceleration is minimum and acute at

For a body moving along a straight line, the following \(v\)-\(t\) graph is obtained.

According to the graph, the displacement during

A particle starts from rest. Its acceleration \(a\) versus time \(t\) is shown in the figure. The maximum speed of the particle will be

A copper rod \(A B\) of length \(l\) is rotated about end \(A\) with a constant angular velocity \(\omega\). The electric field at a distance \(x\) from the axis of rotation is

A strong magnetic field is applied on a stationary electron. Then, the electron

Two parallel wires in free space are \(10 \mathrm{~cm}\) apart and each carries a current of \(10 \mathrm{~A}\) in the same direction. The force exerted by one wire on the other [per unit length] is

A tightly wound long solenoid has $n$ turns per unit length, a radius \(r\) and carries a current \(I\). A particle having charge \(q\) and mass \(m\) is projected from a point on the axis in a direction perpendicular to the axis. The maxim...

Which of the field pattern given below is valid for electric field as well as for magnetic field?

A toroid with thick windings of \(N\) turns has inner and outer radii \(R_1\) and \(R_2\), respectively. If it carries certain steady current \(I\), the variation of the magnetic field due to the toroid with radial distance is correctly gra...

In refraction, light waves are bent on passing from one medium to second medium because, in the second medium

If the refractive index from air to glass is \(\frac{3}{2}\) and that from air to water is \(\frac{4}{3}\), then the ratio of focal lengths of a glass lens in water and in air is

The size of the image of an object, which is at infinity, as formed by a convex lens of focal length \(30 \mathrm{~cm}\) is \(2 \mathrm{~cm}\). If a concave lens of focal length \(20 \mathrm{~cm}\) is placed between the convex lens and the ...

Two thin biconvex lenses have focal lengths \(f_1\) and \(f_2\). A third thin biconcave lens has focal length of \(f_3\). If the two biconvex lenses are in contact, then the total power of the lenses is \(P_1\). If the first convex lens is ...

In figure \(E\) and \(v_{\mathrm{cm}}\) represent the total energy and speed of centre of mass of an object of mass \(1 \mathrm{~kg}\) in pure rolling. The object is

Identify the incorrect statement.

Three photodiodes \(D_1, D_2\) and \(D_3\) are made of semiconductors having band gaps of \(2.5 \mathrm{~eV}, 2 \mathrm{~eV}\) and \(3 \mathrm{~eV}\), respectively. Which one will be able to detect light of wavelength \(600 \mathrm{~nm}\) ?

The circuit given represents which of the logic operations?

A pendulum oscillates simple harmonically and only if
I. the sizer of the bob of pendulum is negligible in comparison with the length of the pendulum.
II. the angular amplitude is less than \(10^{\circ}\).
Choose the correct option.

Which of the following statements are correct with reference to single slit diffraction pattern?
(I) Fringes are of unequal width.
(II) Fringes are of equal width.
(III) Light energy is conserved.
(IV) Intensities of all bright fringes are ...

A slit of width \(a\) is illuminated by red light of wavelength \(6500 \mathop A\limits^o\). If the first diffraction minimum falls at \(30^{\circ}\), then the value of \(a\) is

In the Young's double slit experiment a monochromatic source of wavelength \(\lambda\) is used. The intensity of light passing through each slit is \(I_0\). The intensity of light reaching the screen \(S_C\) at a point \(P\), a distance $$x...

To propagate both longitudinal and transverse waves, a material must have