MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

Which of the following substances (A, B and C) has the highest specific beat?

Two uniform brass rods A and B of length land 2l and radii 2r and r respectively are heated to the same temperature. The ratio of the increase in the volume ofB to that of A is ____________.

An A.C. voltage of r.m.s. value 0.1 V is applied to an LCR series circuit in which L = 100 µH and C = 9 x 10^-8 F and R = 2 `Omega`. The resonant frequency will be ____________.

Which of the following cannot determine the state of a thermodynamic system?

If length of a closed organ pipe is 60 cm and velocity of sound is 360 m/s, then the frequency of 1^st overtone is ____________.

A length L of wire carries a steady current I. It is bent first to form a circular plane coil of one turn. The same length is now bent more sharply to give a double loop of smaller radius. The magnetic field at the centre caused by the same current is ______.

Two concentric circular coils of six turns each are situated in the same plane. Their radii are 10 cm and 20 cm and they carry respectively 0.1 A and 0.2 A current in same direction. The magnetic field in tesla at the centre is ______.

If the potential difference across the inductor (9 mH) is same as that across the condenser (10 µF) in a series R-L-C circuit, then the frequency of the applied e.m.f. is nearly ____________.

Two cars moving in opposite directions approach each other with speed of 22 m/s and 16.5 m/s respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is [velocity of sound 340 m/s]: ____________.

In the given electrical circuit, which one of the following equations is a correct equation?

A 100 mH coil carries a current of 4 ampere. The energy stored in joules is ____________.

A transistor-oscillator using a resonant circuit with an inductor L (of negligible resistance) and a capacitor C in series produce oscillation of frequency f. If L is doubled and C is changed to 4C, the frequency will be ____________.

A thin wire of 99 cm is fixed at both ends as shown in figure. The wire is kept under a tension and is divided into three segments of lengths l₁, l₂, and l₃ as shown in figure. When the wire is made to vibrate respectively with their fundamental frequencies in the ratio 1:2:3. Then the lengths l₁, l₂, and l₃ of the segments respectively are (in cm).

Two moles of an ideal monoatomic gas are taken around a cycle ABCA as shown in the figure. The work done during the cycle is ______.

The ratio of the magnetic field at the centre of a current-carrying circular wire and the magnetic field at the centre of a semi-circular coil made from the same length of wire will be ______.

Two strings A and B of same material are stretched by same tension. The radius of the string A is double the radius of string B. Transverse wave travels on string A with speed 'V_A' and on string B with speed 'V_B'. The ratio `"V"_"A"/"V"_"B"` is ______.

A circular coil 'A' has a radius 'R' and the current flowing through it is I. Another circular coil 'B' has radius 4R and current flowing through it is 4I. The magnetic field at the centre of the circular coil is in the ratio of ______.

Which of the substances P, Q, or R has the lowest specific heat? The temperature v/s time graph is shown ______.

In parallel resonance, the current will be minimum, when ____________.

A uniform rope of mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. The wavelength of the pulse, when it reaches the top is ______. (in m)