Physics Test - ...

A 0.5 kg block slides from the point A, on a horizontal track, with an initial speed 3 m/s towards a weightless horizontal spring of length 1 m and force constant 2N/m. The part AB of the track is frictionless and the part BC has the coefficient of static and kinetic friction as 0.22 and 0.20 respectively. If the distance AB and BD are 2 m and 2.14 m respectively, find the total distance through which the block moves before it comes to rest completely. (g = 10 m/s²)

A resistance of 2 Ω is connected across one gap of a meter-bridge (the length of the wire is 100 cm) and an unknown resistance, greater than 2 Ω , is connected across the other gap. When these resistances are interchanged, the balance point shifts by 20 cm. Neglecting any end corrections, the unknown resistance is :

Two trains, which are moving along different tracks in opposite directions, are put on the same track due to a mistake. Their drivers, on noticing the mistake, start slowing down the trains when they are 300 m apart. Graphs given below show their velocities as a function of time as they slow down. The separation between the trains, when both have stopped, is :

A horizontally insulated cylindrical vessel of length 2ℓ is separated by a thin insulating piston into two equal parts each of which contains n moles of an ideal monoatomic gas at temperature T. The piston is connected to the end faces of the vessel by undeformed springs of force constant k each.

The left part is in contact with a thermostat (a device which maintains a constant temperature). When an amount of heat Q is supplied to the gas in the right part, the piston is displaced to the left by a distance x = ℓ/2. Determine the heat Q' given away to the thermostat by the left part of the piston.

Which element has a hydrogen-like spectrum and whose lines have wavelengths four times shorter than those of atomic hydrogen?

Two graphs of the same projectile motion (in the xy plane) projected from origin are shown. X axis is along horizontal direction & Y axis is vertically upwards. Take g = 10 m/s².

Find initial velocity of projectile.

A network of Four capacitors of capacity equal to C₁ = C, C₂ = 2C, C₃ = 3C and C₄ = 4C, are connected to a battery as shown in the figure. The ratio of the charges on C₂ and C₄ is :

An infinite wire placed along z-axis, has current $I_i$in positive z-direction. A conducting rod placed in xy plane parallel to y-axis has current $I_2$in positive y-direction. The ends of the rod subtend angles of +30^o and -60^o at the origin with positive x-direction. The rod is at a distance 'a' from the origin. Find net force on the rod.

The electric potential at a point (x, y, z) is given by V = -x²y - xz³ + 4
The electric field $\underset{E}{\to }$ at that point is :