The dimension of mutual inductance is (Denote dimension of current as A)

• (A) \(ML^{2}T^{2}A^{-2}\)
• (B) \(ML^{2}T^{-2}A^{-2}\)
• (C) \(ML^{-2}T^{2}A^{-2}\)
• (D) \(ML^{2}T^{-3}A^{-3}\)
• (E) \(ML^{2}T^{-3}A^{-2}\)

A pure inductor of inductance 0.1H is connected to an AC source (of rms voltage 220 V and angular frequency 300 Hz). The rms current is

• (A) \(\frac{3}{22} A\)
• (B) \(\frac{22}{3} A\)
• (C) \(\frac{11}{150} A\)
• (D) \(\frac{150}{11} A\)
• (E) \(\frac{22}{6\pi} A\)

An object having a velocity of 5 m/s is accelerated at the rate 2 m/s\(^{2}\) for 6s. Find the distance travelled during the period of acceleration.

• (A) 60 m
• (B) 25 m
• (C) 36 m
• (D) 66 m
• (E) 45 m

A vehicle moving at 36 km/hr is to be stopped by applying brakes in the next 5 m. If the vehicle weighs 2000 kg, determine the average force that must be applied on it.

• (A) \(10^{4} N\)
• (B) \(2 \times 10^{4} N\)
• (C) \(3 \times 10^{4} N\)
• (D) \(5 \times 10^{3} N\)
• (E) \(10^{3} N\)

Two masses connected in series with two massless strings are hanging from a support as shown in the figure. Find the tension in the upper string.

• (A) \(m_{1}g\)
• (B) \((m_{1} - m_{2})g\)
• (C) \(m_{2}g\)
• (D) \((m_{1} + m_{2})g\)
• (E) \((m_{1} \times m_{2})g\)

The elemental analysis of an organic compound gave: C: 38.71%, H: 9.67%, O: 51.67%. What is the empirical formula of the compound?

• (A) CH\(_{2}\)O
• (B) CH\(_{3}\)O
• (C) CH\(_{4}\)O
• (D) CHO
• (E) CH\(_{5}\)O

Which of the following statement is incorrect about Bohr’s model of atom?

• (A) It fails to account for the finer details of the hydrogen atom spectrum.
• (B) Unable to explain the splitting of spectral lines in the presence of magnetic field.
• (C) The angular momentum of electron is quantised.
• (D) The ability of atoms to form molecule by chemical bonds.
• (E) Unable to explain the splitting of spectral lines in the presence of magnetic field.

The number of electrons in one mole of methane (CH\(_{4}\)) is:

• (A) \(6.023 \times 10^{23}\)
• (B) \(60.23 \times 10^{23}\)
• (C) \(0.6023 \times 10^{23}\)
• (D) \(602.3 \times 10^{23}\)
• (E) \(6023 \times 10^{23}\)

No two electrons in an atom can have the same set of quantum numbers. This is known as:

• (A) Hund’s rule
• (B) Pauli’s exclusion principle
• (C) Aufbau principle
• (D) Heisenberg’s principle
• (E) Fajan’s rule

Uncertainty principle is valid for:

• (A) Proton
• (B) Methane
• (C) Both (A) and (B)
• (D) 1\(\mu\)m sized platinum particles
• (E) 1\(\mu\)m sized NaCl particles

Which of the following has the least atomic radius?

• (A) B
• (B) C
• (C) N
• (D) O
• (E) F

Which one of the following elements is represented as Eka-silicon in Mendeleev’s periodic table?

• (A) Gallium
• (B) Germanium
• (C) Aluminium
• (D) Tin
• (E) Arsenic