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

The radii of the first four Bohr orbits of hydrogen atom are related as ____________.

In hydrogen spectrum, the series of lines obtained in the ultraviolet region of the spectrum is ____________.

In the potentiometer experiment, the balancing length with cell E₁ of unknown e.m.f. is ℓ₁ cm. By shunting the cell E₁ with resistance 'R' which is equal to internal resistance (r) of the cell E₁, the balancing length ℓ₂ is ______

A potentiometer is used to measure the potential difference between A and B, the null point is obtained at 0.9 m. Now the potential difference between A and C is measured, the null point is obtained at 0.3 m. The ratio `E_2/E_1` is (E₁ > E₂) ______

The current drawn from the battery in the given network is ______ 

(Internal resistance of the battery is neglected)

A wire has a length of 2m and a resistance of 10Ω. It is connected in series with a resistance of 990Ω and a cell of e.m.f. 2V. The potential gradient along the wire will be ______

In the experiment to determine the internal resistance of a cell (E₁) using a potentiometer, the resistance drawn from the resistance box is 'R'. The potential difference across the balancing length of the wire is equal to the terminal potential difference (V) of the cell. The value of internal resistance (r) of the cell is ______

A potentiometer wire has a length of 4m and resistance of 5Ω. It is connected in series with 495 Ω resistance and a cell of e.m.f. 4V. The potential gradient along the wire is ______

Magnetic force on a closed current-carrying circuit placed in a uniform magnetic field is ______.

Semiconductors formed by doping germanium (Ge) with aluminium (Z = 13) and antimony (Z = 51) are ______.

If the length of potentiometer wire is increased, then the length of the previously obtained balance point will ______.

If the mass of the electron is reduced to half, the Rydberg constant ______.

In hydrogen spectrum, the wavelengths of light emitted in a series of spectral lines is given by the equation, `1/lambda` = R `(1/4^2 - 1/"n"^2)`, where n = 5, 6, 7...... and 'R' is Rydberg's constant. Identify the series and wavelength region.

Two students X and Y perform potentiometer experiment separately and null point was obtained as shown in diagram. During the experiment, ______.

1. X increases the value of R (resistance)
2. Y decreases the value of S (resistance)

The position of null point obtained by students X and Y respectively.

A student connected the circuit as shown in the figure to determine the internal resistance of a cell E1 by potentiometer (E > E1). He is unable to obtain the null point because ______.

In a potentiometer experiment when three cells A, B, C are connected in series the balancing length is found to be 740 cm. If A and B are connected in series, the balancing length is 440 cm and when B and C are connected in series, it is 540 cm. The e.m.f. of A, B, and C cells E_A, E_B, E_C are respectively (in volt) ______

A potentiometer wire is 4 m long and a potential difference of 3 V is maintained between the ends. The e.m.f. of the cell which balances against a length of 100 cm of the potentiometer wire is ______

A potentiometer wire of length 'L' and a resistance 'r' are connected in series with a battery of E.M.F. 'E₀' and a resistance 'r₁'. A cell of unknown E.M.F, 'E' is balanced at a length 'ℓ' of the potentiometer wire. The unknown E.M.F. E is given by ______ 

In the potentiometer experiment, the balancing length with a cell E₁ of unknown e.m.f. is 'ℓ₁' cm. By shunting the cell with resistance R Ω, the balancing length becomes `ℓ_1/2` cm, the internal resistance (r) of a cell is ______

In the potentiometer experiment, cells of e.m.f. E₁ and E₂ are connected in series (E₁ > E₂). the balancing length is 64 cm of the wire. If the polarity of E₂ is reversed, the balancing length becomes 32 cm. The ratio `E_1/E_2` is ______