List of top Questions asked in GUJCET- 2026

If $\tan \theta = 1$, then $\theta = $:
If a function is increasing, then its derivative is:
If $a + b = 5$ and $ab = 6$, find $a^2 + b^2$:
The value of the determinant $\begin{vmatrix} 1 & 2 \\ 3 & 4 \end{vmatrix}$ is:
If $\log_a b = 2$, then $b = ?$
Number of permutations of 5 distinct objects is:
Distance between points (1,2) and (4,6) is:
The energy equivalent of 1.0 kg of substance is ______.
The nuclear radius of hydrogen atom will be ______.
If $f(x) = x^2 + 3x$, then $f'(x)$ is:
The derivative of $\sin x$ is:
Evaluate: $\int x \, dx$
In a Young's double slit experiment, the slits are separated by 0.2 mm and placed 2.0 m away. The distance between the central bright fringe and the first bright fringe (fringe width) is measured to be 1.5 cm. Determine the wavelength of light used in the experiment.
In photoelectric effect the graph of stopping potential ($V_0$) versus frequency ($\nu$) is a straight line. The slope of this graph is ______.
The photoelectric cut-off voltage in a certain experiment is 1.5 V. The kinetic energy of photoelectrons emitted will be ______.
The relation between the wavelength of electromagnetic radiation ($\lambda$) and de Broglie wavelength of its quantum (photon) ($\lambda'$) is ______.
Out of the following physical quantities which quantity has the same unit as that of Planck's constant?
The ground state energy of hydrogen atom is -13.6 eV. What is the ratio of kinetic energy and potential energy of the electron of this state?
An object is placed at 10 cm in front of a concave mirror of focal length 5 cm. The image formed will be ______.
If in compound microscope objective with focal length 1.0 cm, eyepiece with focal length 2.0 cm, tube length of 20 cm and near point for an observer is 25 cm, the value of magnification will be ______.
Two thin convex lenses of focal length $f_1$ and $f_2$ are placed in contact with each other. The equivalent power of the lens combination is ______.
Find the value of angle of emergence for a emergent ray from the prism in the figure given below (assume a ray entering a $60^\circ$ equilateral prism at a specific angle). (refractive index $\mu = \sqrt{3}$ and air $\mu = 1$).
If the refractive index of a prism with small prism angle is 1.6 and angle of minimum deviation is 2.4. Then prism angle of prism is ______.
According to Huygens principle the phase difference between oscillations of any two particles on a same wave front is ______ rad.
A coil has $N$ turns and current passes through it is $I$ ampere then we obtain $L$ of self inductance. Now if current is made doubled then new self inductance be ______ H.