The question appears to intend Biology: the first step in translation is binding of mRNA to the ribosome, after which initiation complex forms.
Q91mcq
A screw gauge has least count of 0.01 mm and there are 50 divisions in its circular scale. The pitch of the screw gauge is:
a.
0.25 mm
Correct Answer
b.
0.5 mm
c.
1.0 mm
d.
0.01 mm
Step-by-Step AI Explanation
Verified Method
Least count = pitch / number of circular divisions. So pitch = 0.01 × 50 = 0.5 mm? Wait, the standard relation is least count = pitch / total divisions, hence pitch = 0.01 × 50 = 0.5 mm. Therefore option (2) is correct.
Q91mcq
A screw gauge has least count of 0.01 mm and there are 50 divisions in its circular scale. The pitch of the screw gauge is:
a.
0.25 mm
b.
0.5 mm
Correct Answer
c.
1.0 mm
d.
0.01 mm
Step-by-Step AI Explanation
Verified Method
Least count = pitch / number of circular scale divisions, so pitch = 0.01 × 50 = 0.5 mm.
Q92mcq
The mean free path for a gas, with molecular diameter d and number density n can be expressed as:
a.
1 / (2 n d^2 π)
Correct Answer
b.
1 / (2 n d^2 √π)
c.
1 / (2 n^2 d^2 π)
d.
1 / (2 n d π)
Step-by-Step AI Explanation
Verified Method
Mean free path is λ = 1 / (√2 π d^2 n). The OCR options are garbled; the intended standard expression corresponds to option (1).
Q93mcq
Light of frequency 1.5 times the threshold frequency is incident on a photosensitive material. What will be the photoelectric current if the frequency is halved and intensity is doubled?
a.
four times
b.
one-fourth
c.
zero
Correct Answer
d.
doubled
Step-by-Step AI Explanation
Verified Method
If the frequency is halved, it becomes 0.75 times the threshold frequency, which is below threshold. No photoelectric emission occurs, so current is zero irrespective of intensity.
Q94mcq
In a certain region of space with volume 0.2 m^3, the electric potential is found to be 5 V throughout. The magnitude of electric field in this region is:
a.
0.5 N/C
b.
1 N/C
c.
5 N/C
d.
zero
Correct Answer
Step-by-Step AI Explanation
Verified Method
Electric field is the negative gradient of potential. If potential is constant throughout a region, its gradient is zero, so the electric field is zero.
Q96mcq
A wire of length L, area of cross section A is hanging from a fixed support. The length of the wire changes to L1 when mass M is suspended from its free end. The expression for Young's modulus is:
In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency increases to 7 Hz. If the frequency of A is 530 Hz, the original frequency of B will be:
a.
524 Hz
b.
536 Hz
Correct Answer
c.
537 Hz
d.
523 Hz
Step-by-Step AI Explanation
Verified Method
Initial beat frequency is 6 Hz, so fB = 530 ± 6 = 524 or 536 Hz. Decreasing tension decreases frequency; since beat frequency increases to 7 Hz, the original fB must be above 530 Hz. Hence fB = 536 Hz.
Q98mcq
A 40 µF capacitor is connected to a 200 V, 50 Hz AC supply. The rms value of the current in the circuit is, nearly:
a.
2.05 A
Correct Answer
b.
2.5 A
c.
25.1 A
d.
1.7 A
Step-by-Step AI Explanation
Verified Method
For a capacitor, I_rms = V_rms ω C = 200 × (2π×50) × 40×10^-6 ≈ 2.5 A. The nearest option intended is 2.5 A.
Q99mcq
A ball is thrown vertically downward with a velocity of 20 m/s from the top of a tower. It hits the ground after some time with a velocity of 80 m/s. The height of the tower is (g = 10 m/s^2):
a.
340 m
b.
320 m
c.
300 m
Correct Answer
d.
360 m
Step-by-Step AI Explanation
Verified Method
Using v^2 = u^2 + 2gh for downward motion: 80^2 = 20^2 + 2×10×h. Thus h = (6400 - 400)/20 = 300 m.
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An electron is accelerated from rest through a potential difference of V volt. If the de Broglie wavelength of the electron is 1.227×10^-2 nm, the potential difference is:
a.
10^2 V
b.
10^3 V
c.
10^4 V
d.
10 V
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A short electric dipole has a dipole moment of 16×10^-9 C m. The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of 60° with the dipole axis is:
a.
200 V
b.
400 V
c.
zero
d.
50 V
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An iron rod of susceptibility 599 is subjected to a magnetising field of 1200 A m^-1. The permeability of the material of the rod is (μ0 = 4π×10^-7 T m A^-1):
a.
8.0×10^-5 T m A^-1
b.
2.4π×10^-5 T m A^-1
c.
2.4π×10^-7 T m A^-1
d.
2.4π×10^-4 T m A^-1
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A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of the water in the capillary is 5 g. Another capillary tube of radius 2r is immersed in water. The mass of water that will rise in this tube is:
a.
5.0 g
b.
10.0 g
c.
20.0 g
d.
2.5 g
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A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of the water in the capillary is 5 g. Another capillary tube of radius 2r is immersed in water. The mass of water that will rise in this tube is:
a.
5.0 g
b.
10.0 g
c.
20.0 g
d.
2.5 g
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A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is μ, then the angle of incidence is nearly equal to:
a.
2A / μ
b.
μA
c.
A / (2μ)
d.
A / (2μ)
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A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is μ, then the angle of incidence is nearly equal to:
a.
2A/μ
b.
μA
c.
A/(2μ)
d.
A/2μ
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The capacitance of a parallel plate capacitor with air as medium is 6 μF. With the introduction of a dielectric medium, the capacitance becomes 30 μF. The permittivity of the medium is (ε0 = 8.85×10^-12 C^2 N^-1 m^-2):
a.
1.77×10^-12 C^2 N^-1 m^-2
b.
0.44×10^-10 C^2 N^-1 m^-2
c.
5.00 C^2 N^-1 m^-2
d.
0.44×10^-13 C^2 N^-1 m^-2
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Two bodies of mass 4 kg and 6 kg are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity (g) is:
a.
g/2
b.
g/5
c.
g/10
d.
g
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The ratio of contributions made by the electric field and magnetic field components to the intensity of an electromagnetic wave is: (c = speed of electromagnetic waves)
a.
1 : 1
b.
1 : c
c.
1 : c^2
d.
c : 1
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A long solenoid of 50 cm length having 100 turns carries a current of 2.5 A. The magnetic field at the centre of the solenoid is: (μ0 = 4π×10^-7 T m A^-1)
a.
3.14×10^-4 T
b.
6.28×10^-5 T
c.
3.14×10^-5 T
d.
6.28×10^-4 T
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In Young’s double slit experiment, if the separation between coherent sources is halved and the distance of the screen from the coherent sources is doubled, then the fringe width becomes:
a.
half
b.
four times
c.
one-fourth
d.
double
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A resistance wire connected in the left gap of a metre bridge balances a 10 Ω resistance in the right gap at a point which divides the bridge wire in the ratio 3 : 2. If the length of the resistance wire is 1.5 m, then the length of 1 Ω of the resistance wire is:
a.
1.0 × 10^-1 m
b.
1.5 × 10^-1 m
c.
1.5 × 10^-2 m
d.
1.0 × 10^-2 m
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A resistance wire connected in the left gap of a metre bridge balances a 10 Ω resistance in the right gap at a point which divides the bridge wire in the ratio 3 : 2. If the length of the resistance wire is 1.5 m, then the length of 1 Ω of the resistance wire is:
a.
1.0×10^-1 m
b.
1.5×10^-1 m
c.
1.5×10^-2 m
d.
1.0×10^-2 m
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Two cylinders A and B of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is:
a.
adiabatic
b.
isochoric
c.
isobaric
d.
isothermal
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Two cylinders A and B of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is:
a.
adiabatic
b.
isochoric
c.
isobaric
d.
isothermal
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Light with an average flux of 20 W/cm^2 falls on a non-reflecting surface at normal incidence having surface area 20 cm^2. The energy received by the surface during time span of 1 minute is:
a.
12 × 10^3 J
b.
24 × 10^3 J
c.
48 × 10^3 J
d.
10 × 10^3 J
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A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is π/3. If instead C is removed from the circuit, the phase difference is again π/3 between current and voltage. The power factor of the circuit is:
a.
0.5
b.
1.0
c.
-1.0
d.
zero
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Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligible mass. The centre of mass of the system from the 5 kg particle is nearly at a distance of:
a.
50 cm
b.
67 cm
c.
80 cm
d.
33 cm
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A spherical conductor of radius 10 cm has a charge of 3.2×10^-7 C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere?
a.
1.28×10^5 N/C
b.
1.28×10^6 N/C
c.
1.28×10^7 N/C
d.
1.28×10^4 N/C
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